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102113332131030 = 23511437439685259
BaseRepresentation
bin10111001101111100011100…
…111000110111010011010110
3111101112221100200120011002020
4113031330130320313103112
5101341011101011143110
61001102114524354010
730336305363645433
oct2715743470672326
9441487320504066
10102113332131030
112a59a025998470
12b5522b83a5906
1344c932732947c
141b30451226b8a
15bc1307192d70
hex5cdf1ce374d6

102113332131030 has 128 divisors (see below), whose sum is σ = 273936964055040. Its totient is φ = 24146510424960.

The previous prime is 102113332131001. The next prime is 102113332131089. The reversal of 102113332131030 is 30131233311201.

It is a congruent number.

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, 5700541 + ... + 15385799.

It is an arithmetic number, because the mean of its divisors is an integer number (2140132531680).

Almost surely, 2102113332131030 is an apocalyptic number.

102113332131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102113332131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136968482027520).

102113332131030 is an abundant number, since it is smaller than the sum of its proper divisors (171823631924010).

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

102113332131030 is a wasteful number, since it uses less digits than its factorization.

102113332131030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9686066.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 102113332131030 its reverse (30131233311201), we get a palindrome (132244565442231).

The spelling of 102113332131030 in words is "one hundred two trillion, one hundred thirteen billion, three hundred thirty-two million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 743 946 1290 1419 1486 2229 2365 2838 3715 4458 4730 7095 7430 8173 11145 14190 16346 22290 24519 31949 40865 49038 63898 81730 95847 122595 159745 191694 245190 319490 351439 479235 702878 958470 1054317 1757195 2108634 3514390 5271585 9685259 10543170 19370518 29055777 48426295 58111554 96852590 106537849 145278885 213075698 290557770 319613547 416466137 532689245 639227094 832932274 1065378490 1249398411 1598067735 2082330685 2498796822 3196135470 4164661370 4581127507 6246992055 7196147437 9162255014 12493984110 13743382521 14392294874 21588442311 22905637535 27486765042 35980737185 43176884622 45811275070 68716912605 71961474370 79157621807 107942211555 137433825210 158315243614 215884423110 237472865421 309434339791 395788109035 474945730842 618868679582 791576218070 928303019373 1187364327105 1547171698955 1856606038746 2374728654210 3094343397910 3403777737701 4641515096865 6807555475402 9283030193730 10211333213103 17018888688505 20422666426206 34037777377010 51056666065515 102113332131030