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113312321333432 = 231326361914814519
BaseRepresentation
bin11001110000111010010100…
…101010010110100010111000
3112212012112220111111200020222
4121300322110222112202320
5104323002113230132212
61040554543425235212
732603354645354234
oct3160722452264270
9485175814450228
10113312321333432
113311753838a361
121086082b192b08
134b2c3c95218b0
141dda4ba5215c4
15d177a81aac72
hex670e94a968b8

113312321333432 has 128 divisors (see below), whose sum is σ = 230251012992000. Its totient is φ = 51968352107520.

The previous prime is 113312321333399. The next prime is 113312321333437. The reversal of 113312321333432 is 234333123213311.

It is a junction number, because it is equal to n+sod(n) for n = 113312321333392 and 113312321333401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113312321333437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25074642869 + ... + 25074647387.

It is an arithmetic number, because the mean of its divisors is an integer number (1798836039000).

Almost surely, 2113312321333432 is an apocalyptic number.

It is an amenable number.

113312321333432 is an abundant number, since it is smaller than the sum of its proper divisors (116938691658568).

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

113312321333432 is a wasteful number, since it uses less digits than its factorization.

113312321333432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6901 (or 6897 counting only the distinct ones).

The product of its digits is 69984, while the sum is 35.

Adding to 113312321333432 its reverse (234333123213311), we get a palindrome (347645444546743).

The spelling of 113312321333432 in words is "one hundred thirteen trillion, three hundred twelve billion, three hundred twenty-one million, three hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 263 526 619 1052 1238 1481 2104 2476 2962 3419 4519 4952 5924 6838 8047 9038 11848 13676 16094 18076 19253 27352 32188 36152 38506 58747 64376 77012 117494 154024 162797 234988 325594 389503 469976 651188 779006 916739 1188497 1302376 1558012 1833478 2116361 2376994 2797261 3116024 3666956 4232722 4753988 5063539 5594522 6692639 7333912 8465444 9507976 10127078 11189044 11917607 13385278 15450461 16930888 20254156 22378088 23835214 26770556 30900922 36364393 40508312 47670428 53541112 61801844 72728786 87004307 95340856 123603688 145457572 174008614 241102357 290915144 348017228 482204714 696034456 735679643 964409428 1471359286 1760164057 1928818856 2942718572 3134330641 3520328114 4142743541 5885437144 6268661282 7040656228 8285487082 9563835359 12537322564 14081312456 16570974164 19127670718 22882132741 25074645128 33141948328 38255341436 45764265482 53855666033 76510682872 91528530964 107711332066 183057061928 215422664132 430845328264 1089541551283 2179083102566 4358166205132 8716332410264 14164040166679 28328080333358 56656160666716 113312321333432