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124002010134 = 2351914239437
BaseRepresentation
bin111001101111100011…
…0001000010000010110
3102212001220122210100000
41303133012020100112
54012424003311014
6132544333232130
711646612460302
oct1633706102026
9385056583300
10124002010134
11486529a1612
1220048032646
13b9023609c2
146004a60d02
15335b4c6509
hex1cdf188416

124002010134 has 96 divisors (see below), whose sum is σ = 293523310080. Its totient is φ = 39126864672.

The previous prime is 124002010117. The next prime is 124002010151. The reversal of 124002010134 is 431010200421.

It is an interprime number because it is at equal distance from previous prime (124002010117) and next prime (124002010151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13135264 + ... + 13144700.

It is an arithmetic number, because the mean of its divisors is an integer number (3057534480).

Almost surely, 2124002010134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124002010134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146761655040).

124002010134 is an abundant number, since it is smaller than the sum of its proper divisors (169521299946).

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

124002010134 is a wasteful number, since it uses less digits than its factorization.

124002010134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896 (or 10884 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 124002010134 its reverse (431010200421), we get a palindrome (555012210555).

The spelling of 124002010134 in words is "one hundred twenty-four billion, two million, ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 1026 1423 1539 2846 3078 4269 4617 8538 9234 9437 12807 18874 25614 27037 28311 38421 54074 56622 76842 81111 84933 115263 162222 169866 179303 230526 243333 254799 345789 358606 486666 509598 537909 691578 729999 764397 1075818 1459998 1528794 1613727 2189997 2293191 3227454 4379994 4586382 4841181 6569991 9682362 13139982 13428851 14523543 26857702 29047086 40286553 43570629 80573106 87141258 120859659 241719318 255148169 362578977 510296338 725157954 765444507 1087736931 1530889014 2175473862 2296333521 3263210793 4592667042 6526421586 6889000563 13778001126 20667001689 41334003378 62001005067 124002010134