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10124141333124 = 22371319946588903
BaseRepresentation
bin1001001101010011010111…
…0110010000101010000100
31022211212011211001101101010
42103110311312100222010
52311333220140124444
633310544420402220
72063305442305230
oct223246566205204
938755154041333
1010124141333124
113253695934aa5
121176162546370
1358591931a360
142700224995c0
1512854378a2b9
hex93535d90a84

10124141333124 has 96 divisors (see below), whose sum is σ = 29220560588800. Its totient is φ = 2656685547648.

The previous prime is 10124141333123. The next prime is 10124141333191. The reversal of 10124141333124 is 42133314142101.

It is a super-3 number, since 3×101241413331243 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10124141333091 and 10124141333100.

It is not an unprimeable number, because it can be changed into a prime (10124141333123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23077144 + ... + 23511759.

Almost surely, 210124141333124 is an apocalyptic number.

10124141333124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10124141333124 is an abundant number, since it is smaller than the sum of its proper divisors (19096419255676).

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

10124141333124 is a wasteful number, since it uses less digits than its factorization.

10124141333124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46589129 (or 46589127 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 10124141333124 its reverse (42133314142101), we get a palindrome (52257455475225).

The spelling of 10124141333124 in words is "ten trillion, one hundred twenty-four billion, one hundred forty-one million, three hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 199 273 364 398 546 597 796 1092 1194 1393 2388 2587 2786 4179 5174 5572 7761 8358 10348 15522 16716 18109 31044 36218 54327 72436 108654 217308 46588903 93177806 139766709 186355612 279533418 326122321 559066836 605655739 652244642 978366963 1211311478 1304489284 1816967217 1956733926 2422622956 3633934434 3913467852 4239590173 7267868868 8479180346 9271191697 12718770519 16958360692 18542383394 25437541038 27813575091 37084766788 50875082076 55627150182 64898341879 111254300364 120525492061 129796683758 194695025637 241050984122 259593367516 361576476183 389390051274 482101968244 723152952366 778780102548 843678444427 1446305904732 1687356888854 2531035333281 3374713777708 5062070666562 10124141333124