Search a number
-
+
122232011022320 = 24523414919329387
BaseRepresentation
bin11011110010101101011011…
…100110001101111111110000
3121000210021012000021222210012
4123302231123212031333300
5112010122124310203240
61111544335523154052
734513654115635013
oct3362553346157760
9530707160258705
10122232011022320
1135a46339705041
1211861471215928
135328576bab624
1422280bd17337a
15e1e80601eb65
hex6f2b5b98dff0

122232011022320 has 160 divisors (see below), whose sum is σ = 303840982932480. Its totient is φ = 45616956999680.

The previous prime is 122232011022301. The next prime is 122232011022379. The reversal of 122232011022320 is 23220110232221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370924667 + ... + 371254053.

It is an arithmetic number, because the mean of its divisors is an integer number (1899006143328).

Almost surely, 2122232011022320 is an apocalyptic number.

122232011022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122232011022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151920491466240).

122232011022320 is an abundant number, since it is smaller than the sum of its proper divisors (181608971910160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122232011022320 is a wasteful number, since it uses less digits than its factorization.

122232011022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334383 (or 334377 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 122232011022320 its reverse (23220110232221), we get a palindrome (145452121254541).

The spelling of 122232011022320 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, eleven million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 41 46 80 82 92 115 164 184 205 230 328 368 410 460 656 820 920 943 1640 1840 1886 3280 3772 4715 4919 7544 9430 9838 15088 18860 19676 24595 37720 39352 49190 75440 78704 98380 113137 196760 201679 226274 329387 393520 403358 452548 565685 658774 806716 905096 1008395 1131370 1317548 1613432 1646935 1810192 2016790 2262740 2635096 3226864 3293870 4033580 4525480 4638617 5270192 6587740 7575901 8067160 9050960 9277234 13175480 13504867 15151802 16134320 18554468 23193085 26350960 27009734 30303604 37108936 37879505 46386170 54019468 60607208 67524335 74217872 75759010 92772340 108038936 121214416 135048670 151518020 185544680 216077872 270097340 303036040 310611941 371089360 540194680 606072080 621223882 1080389360 1242447764 1553059705 1620254653 2484895528 3106119410 3240509306 4969791056 6212238820 6481018612 8101273265 12424477640 12962037224 16202546530 24848955280 25924074448 32405093060 37265857019 64810186120 66430440773 74531714038 129620372240 132860881546 149063428076 186329285095 265721763092 298126856152 332152203865 372658570190 531443526184 596253712304 664304407730 745317140380 1062887052368 1328608815460 1490634280760 1527900137779 2657217630920 2981268561520 3055800275558 5314435261840 6111600551116 7639500688895 12223201102232 15279001377790 24446402204464 30558002755580 61116005511160 122232011022320