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103412322024032 = 2576717938494301
BaseRepresentation
bin10111100000110110001110…
…101110000011101001100000
3111120011010021112012212000002
4113200312032232003221200
5102023301413414232112
61003534544230115132
730532202512602560
oct2740661656035140
9446133245185002
10103412322024032
112aa4aa1291328a
12b7220014abaa8
134591981088258
141b7727c592da0
15be4ed258c1c2
hex5e0d8eb83a60

103412322024032 has 96 divisors (see below), whose sum is σ = 237469809265920. Its totient is φ = 43414179494400.

The previous prime is 103412322023993. The next prime is 103412322024061. The reversal of 103412322024032 is 230420223214301.

It is a junction number, because it is equal to n+sod(n) for n = 103412322023986 and 103412322024004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16560719 + ... + 21933582.

It is an arithmetic number, because the mean of its divisors is an integer number (2473643846520).

Almost surely, 2103412322024032 is an apocalyptic number.

It is an amenable number.

103412322024032 is an abundant number, since it is smaller than the sum of its proper divisors (134057487241888).

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

103412322024032 is a wasteful number, since it uses less digits than its factorization.

103412322024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38494564 (or 38494556 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 103412322024032 its reverse (230420223214301), we get a palindrome (333832545238333).

The spelling of 103412322024032 in words is "one hundred three trillion, four hundred twelve billion, three hundred twenty-two million, twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 179 224 268 358 469 536 716 938 1072 1253 1432 1876 2144 2506 2864 3752 5012 5728 7504 10024 11993 15008 20048 23986 40096 47972 83951 95944 167902 191888 335804 383776 671608 1343216 2686432 38494301 76988602 153977204 269460107 307954408 538920214 615908816 1077840428 1231817632 2155680856 2579118167 4311361712 5158236334 6890479879 8622723424 10316472668 13780959758 18053827169 20632945336 27561919516 36107654338 41265890672 48233359153 55123839032 72215308676 82531781344 96466718306 110247678064 144430617352 192933436612 220495356128 288861234704 385866873224 461662151893 577722469408 771733746448 923324303786 1543467492896 1846648607572 3231635063251 3693297215144 6463270126502 7386594430288 12926540253004 14773188860576 25853080506008 51706161012016 103412322024032