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133010004012 = 22311084167001
BaseRepresentation
bin111101111100000000…
…0111001100000101100
3110201022200210021212220
41323320000321200230
54134401030112022
6141034241555340
712416053244154
oct1737000714054
9421280707786
10133010004012
1151455752756
1221940945b50
13c70967c6b2
14661b157764
1536d723185c
hex1ef803982c

133010004012 has 12 divisors (see below), whose sum is σ = 310356676056. Its totient is φ = 44336668000.

The previous prime is 133010003989. The next prime is 133010004031. The reversal of 133010004012 is 210400010331.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×1330100040123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 133010003982 and 133010004000.

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 3 ways as a sum of consecutive naturals, for example, 5542083489 + ... + 5542083512.

It is an arithmetic number, because the mean of its divisors is an integer number (25863056338).

Almost surely, 2133010004012 is an apocalyptic number.

133010004012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133010004012 is an abundant number, since it is smaller than the sum of its proper divisors (177346672044).

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

133010004012 is a wasteful number, since it uses less digits than its factorization.

133010004012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11084167008 (or 11084167006 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 133010004012 its reverse (210400010331), we get a palindrome (343410014343).

The spelling of 133010004012 in words is "one hundred thirty-three billion, ten million, four thousand, twelve".

Divisors: 1 2 3 4 6 12 11084167001 22168334002 33252501003 44336668004 66505002006 133010004012