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124345110042 = 23331415930707
BaseRepresentation
bin111001111001110001…
…0111100111000011010
3102212221211021001221000
41303303202330320122
54014124322010132
6133042351125430
711661246665466
oct1636342747032
9385854231830
10124345110042
114880963365a
1220122b13876
13b95846c2ba
1460384534a6
15337b69a87c
hex1cf38bce1a

124345110042 has 128 divisors (see below), whose sum is σ = 297155174400. Its totient is φ = 38468476800.

The previous prime is 124345110037. The next prime is 124345110061. The reversal of 124345110042 is 240011543421.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 124345109988 and 124345110015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4034053 + ... + 4064759.

It is an arithmetic number, because the mean of its divisors is an integer number (2321524800).

Almost surely, 2124345110042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124345110042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148577587200).

124345110042 is an abundant number, since it is smaller than the sum of its proper divisors (172810064358).

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

124345110042 is a wasteful number, since it uses less digits than its factorization.

124345110042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30849 (or 30843 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 124345110042 its reverse (240011543421), we get a palindrome (364356653463).

The spelling of 124345110042 in words is "one hundred twenty-four billion, three hundred forty-five million, one hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 31 41 54 59 62 82 93 118 123 177 186 246 279 354 369 531 558 738 837 1062 1107 1271 1593 1674 1829 2214 2419 2542 3186 3658 3813 4838 5487 7257 7626 10974 11439 14514 16461 21771 22878 30707 32922 34317 43542 49383 61414 65313 68634 74989 92121 98766 130626 149978 184242 224967 276363 449934 552726 674901 829089 951917 1258987 1349802 1658178 1811713 1903834 2024703 2517974 2855751 3623426 3776961 4049406 5435139 5711502 7553922 8567253 10870278 11330883 16305417 17134506 22661766 25701759 32610834 33992649 39028597 48916251 51403518 56163103 67985298 74280233 78057194 97832502 112326206 117085791 148560466 168489309 222840699 234171582 336978618 351257373 445681398 505467927 668522097 702514746 1010935854 1053772119 1337044194 1516403781 2005566291 2107544238 2302687223 3032807562 4011132582 4605374446 6908061669 13816123338 20724185007 41448370014 62172555021 124345110042