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13122465228 = 2232880741389
BaseRepresentation
bin11000011100010100…
…01110110111001100
31020212112020022011200
430032022032313030
5203333322341403
610010043545500
7643121054055
oct141612166714
936775208150
1013122465228
115624320394
12266282b290
13131187ca32
148c6b2772c
1551c092ca3
hex30e28edcc

13122465228 has 36 divisors (see below), whose sum is σ = 33175243920. Its totient is φ = 4373552736.

The previous prime is 13122465179. The next prime is 13122465233. The reversal of 13122465228 is 82256422131.

13122465228 is a `hidden beast` number, since 1 + 3 + 122 + 4 + 6 + 522 + 8 = 666.

13122465228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13122465192 and 13122465201.

It is an unprimeable number.

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, 296358 + ... + 337746.

Almost surely, 213122465228 is an apocalyptic number.

13122465228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13122465228 is an abundant number, since it is smaller than the sum of its proper divisors (20052778692).

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

13122465228 is a wasteful number, since it uses less digits than its factorization.

13122465228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50206 (or 50201 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 13122465228 its reverse (82256422131), we get a palindrome (95378887359).

The spelling of 13122465228 in words is "thirteen billion, one hundred twenty-two million, four hundred sixty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 8807 17614 26421 35228 41389 52842 79263 82778 105684 124167 158526 165556 248334 317052 372501 496668 745002 1490004 364512923 729025846 1093538769 1458051692 2187077538 3280616307 4374155076 6561232614 13122465228