Search a number
-
+
1124013122320 = 2451117659114013
BaseRepresentation
bin10000010110110100011…
…001110010001100010000
310222110021101222202212111
4100112310121302030100
5121403434324403240
62220210422035104
7144131043620344
oct20266431621420
93873241882774
101124013122320
113a3767117230
12161a11878a94
1381cbca1a3aa
143c58c75b624
151e388bd51ea
hex105b4672310

1124013122320 has 160 divisors (see below), whose sum is σ = 3023213466240. Its totient is φ = 384101867520.

The previous prime is 1124013122293. The next prime is 1124013122321. The reversal of 1124013122320 is 232213104211.

It is a super-3 number, since 3×11240131223203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1124013122291 and 1124013122300.

It is not an unprimeable number, because it can be changed into a prime (1124013122321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9801634 + ... + 9915646.

It is an arithmetic number, because the mean of its divisors is an integer number (18895084164).

Almost surely, 21124013122320 is an apocalyptic number.

1124013122320 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 1124013122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511606733120).

1124013122320 is an abundant number, since it is smaller than the sum of its proper divisors (1899200343920).

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

1124013122320 is a wasteful number, since it uses less digits than its factorization.

1124013122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114713 (or 114707 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1124013122320 its reverse (232213104211), we get a palindrome (1356226226531).

The spelling of 1124013122320 in words is "one trillion, one hundred twenty-four billion, thirteen million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 659 680 748 880 935 1318 1360 1496 1870 2636 2992 3295 3740 5272 6590 7249 7480 10544 11203 13180 14498 14960 22406 26360 28996 36245 44812 52720 56015 57992 72490 89624 112030 114013 115984 123233 144980 179248 224060 228026 246466 289960 448120 456052 492932 570065 579920 616165 896240 912104 985864 1140130 1232330 1254143 1824208 1938221 1971728 2280260 2464660 2508286 3876442 4560520 4929320 5016572 6270715 7752884 9121040 9691105 9858640 10033144 12541430 15505768 19382210 20066288 21320431 25082860 31011536 38764420 42640862 50165720 75134567 77528840 85281724 100331440 106602155 150269134 155057680 170563448 213204310 300538268 341126896 375672835 426408620 601076536 751345670 826480237 852817240 1202153072 1277287639 1502691340 1652960474 1705634480 2554575278 3005382680 3305920948 4132401185 5109150556 6010765360 6386438195 6611841896 8264802370 10218301112 12772876390 13223683792 14050164029 16529604740 20436602224 25545752780 28100328058 33059209480 51091505560 56200656116 66118418960 70250820145 102183011120 112401312232 140501640290 224802624464 281003280580 562006561160 1124013122320