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12331313221100 = 2252413007637371
BaseRepresentation
bin1011001101110001101110…
…0010110100110111101100
31121122212021102100120121012
42303130123202310313230
53104014012141033400
642120532130124352
72411623302640556
oct263343342646754
947585242316535
1012331313221100
113a24753922625
121471a83a206b8
136b5ab799a293
14308ba572c4d6
15165b7465ad35
hexb371b8b4dec

12331313221100 has 36 divisors (see below), whose sum is σ = 27411607008408. Its totient is φ = 4812219792000.

The previous prime is 12331313221079. The next prime is 12331313221169. The reversal of 12331313221100 is 112231313321.

It is a super-2 number, since 2×123313132211002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1503814586 + ... + 1503822785.

Almost surely, 212331313221100 is an apocalyptic number.

12331313221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12331313221100 is an abundant number, since it is smaller than the sum of its proper divisors (15080293787308).

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

12331313221100 is a wasteful number, since it uses less digits than its factorization.

12331313221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007637426 (or 3007637419 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 12331313221100 its reverse (112231313321), we get a palindrome (12443544534421).

It can be divided in two parts, 12331313221 and 100, that added together give a palindrome (12331313321).

The spelling of 12331313221100 in words is "twelve trillion, three hundred thirty-one billion, three hundred thirteen million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 3007637371 6015274742 12030549484 15038186855 30076373710 60152747420 75190934275 123313132211 150381868550 246626264422 300763737100 493252528844 616565661055 1233131322110 2466262644220 3082828305275 6165656610550 12331313221100