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312422331020 = 225192241409439
BaseRepresentation
bin1001000101111011101…
…00100111001010001100
31002212102020201211100012
410202331310213022030
520104320104043040
6355305210452352
731400054666012
oct4427564471214
91085366654305
10312422331020
11110552296478
12506717340b8
13235cc623137
141119ac988b2
1581d8054865
hex48bdd2728c

312422331020 has 144 divisors (see below), whose sum is σ = 698596113600. Its totient is φ = 117344194560.

The previous prime is 312422331017. The next prime is 312422331037. The reversal of 312422331020 is 20133224213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711667961 + ... + 711668399.

It is an arithmetic number, because the mean of its divisors is an integer number (4851361900).

Almost surely, 2312422331020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312422331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349298056800).

312422331020 is an abundant number, since it is smaller than the sum of its proper divisors (386173782580).

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

312422331020 is a wasteful number, since it uses less digits than its factorization.

312422331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 312422331020 its reverse (20133224213), we get a palindrome (332555555233).

The spelling of 312422331020 in words is "three hundred twelve billion, four hundred twenty-two million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 241 361 380 409 439 482 722 818 878 964 1205 1444 1636 1756 1805 2045 2195 2410 3610 4090 4390 4579 4820 7220 7771 8180 8341 8780 9158 15542 16682 18316 22895 31084 33364 38855 41705 45790 77710 83410 87001 91580 98569 105799 147649 155420 158479 166820 174002 179551 197138 211598 295298 316958 348004 359102 394276 423196 435005 492845 528995 590596 633916 718204 738245 792395 870010 897755 985690 1057990 1476490 1584790 1740020 1795510 1872811 1971380 2010181 2115980 2952980 3169580 3411469 3591020 3745622 4020362 6822938 7491244 8040724 9364055 10050905 13645876 17057345 18728110 20101810 34114690 35583409 37456220 38193439 40203620 43271791 64817911 68229380 71166818 76386878 86543582 129635822 142333636 152773756 173087164 177917045 190967195 216358955 259271644 324089555 355834090 381934390 432717910 648179110 711668180 763868780 822164029 865435820 1296358220 1644328058 3288656116 4110820145 8221640290 15621116551 16443280580 31242233102 62484466204 78105582755 156211165510 312422331020