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13310331212232 = 2332231001800281
BaseRepresentation
bin1100000110110000110110…
…0100000101000111001000
31202010110021212102111220200
43001230031210011013020
53221034024242242412
644150403131252200
72542432262363235
oct301541544050710
952113255374820
1013310331212232
114271974a7371a
1215ab76abaa060
1375720acacc52
1434031b2a678c
15181373d2a9dc
hexc1b0d9051c8

13310331212232 has 48 divisors (see below), whose sum is σ = 36049014799980. Its totient is φ = 4436752320000.

The previous prime is 13310331212177. The next prime is 13310331212239. The reversal of 13310331212232 is 23221213301331.

13310331212232 is a `hidden beast` number, since 1 + 3 + 3 + 103 + 312 + 12 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13284669094596 + 25662117636 = 3644814^2 + 160194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13310331212196 and 13310331212205.

It is not an unprimeable number, because it can be changed into a prime (13310331212239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16231932 + ... + 17032212.

Almost surely, 213310331212232 is an apocalyptic number.

13310331212232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13310331212232 is an abundant number, since it is smaller than the sum of its proper divisors (22738683587748).

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

13310331212232 is a wasteful number, since it uses less digits than its factorization.

13310331212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031294 (or 1031287 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13310331212232 its reverse (23221213301331), we get a palindrome (36531544513563).

The spelling of 13310331212232 in words is "thirteen trillion, three hundred ten billion, three hundred thirty-one million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 231001 462002 693003 800281 924004 1386006 1600562 1848008 2079009 2400843 2772012 3201124 4158018 4801686 5544024 6402248 7202529 8316036 9603372 14405058 16632072 19206744 28810116 57620232 184865711281 369731422562 554597133843 739462845124 1109194267686 1478925690248 1663791401529 2218388535372 3327582803058 4436777070744 6655165606116 13310331212232