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2013103211232 = 25329388780687
BaseRepresentation
bin11101010010110110010…
…011010100001011100000
321010110011121211221121210
4131102312103110023200
5230440313410224412
64140450140150120
7265304400651051
oct35226623241340
97113147757553
102013103211232
11706830310383
122861a0238340
13117ab11323b9
146d612c04728
153757351a83c
hex1d4b64d42e0

2013103211232 has 96 divisors (see below), whose sum is σ = 5308475139072. Its totient is φ = 667981965824.

The previous prime is 2013103211183. The next prime is 2013103211239. The reversal of 2013103211232 is 2321123013102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2013103211199 and 2013103211208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013103211239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24909193 + ... + 24989879.

It is an arithmetic number, because the mean of its divisors is an integer number (55296616032).

Almost surely, 22013103211232 is an apocalyptic number.

It is an amenable number.

2013103211232 is an abundant number, since it is smaller than the sum of its proper divisors (3295371927840).

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

2013103211232 is a wasteful number, since it uses less digits than its factorization.

2013103211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81880 (or 81872 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2013103211232 its reverse (2321123013102), we get a palindrome (4334226224334).

The spelling of 2013103211232 in words is "two trillion, thirteen billion, one hundred three million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 293 586 879 887 1172 1758 1774 2344 2661 3516 3548 4688 5322 7032 7096 9376 10644 14064 14192 21288 28128 28384 42576 80687 85152 161374 242061 259891 322748 484122 519782 645496 779673 968244 1039564 1290992 1559346 1936488 2079128 2581984 3118692 3872976 4158256 6237384 7745952 8316512 12474768 23641291 24949536 47282582 70923873 71569369 94565164 141847746 143138738 189130328 214708107 283695492 286277476 378260656 429416214 567390984 572554952 756521312 858832428 1134781968 1145109904 1717664856 2269563936 2290219808 3435329712 6870659424 20969825117 41939650234 62909475351 83879300468 125818950702 167758600936 251637901404 335517201872 503275802808 671034403744 1006551605616 2013103211232