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13134142332 = 2233130793047
BaseRepresentation
bin11000011101101101…
…10001101101111100
31020220100012120011000
430032312301231330
5203344320023312
610011142130300
7643322240103
oct141666615574
936810176130
1013134142332
11562a976593
122666720990
13131410aa6c
148c84c703a
1551d0ecadc
hex30edb1b7c

13134142332 has 48 divisors (see below), whose sum is σ = 34077899520. Its totient is φ = 4374650736.

The previous prime is 13134142327. The next prime is 13134142429. The reversal of 13134142332 is 23324143131.

It is a happy number.

13134142332 is a `hidden beast` number, since 1 + 3 + 13 + 414 + 233 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13134142296 and 13134142305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94633 + ... + 187679.

It is an arithmetic number, because the mean of its divisors is an integer number (709956240).

Almost surely, 213134142332 is an apocalyptic number.

13134142332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13134142332 is an abundant number, since it is smaller than the sum of its proper divisors (20943757188).

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

13134142332 is a wasteful number, since it uses less digits than its factorization.

13134142332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94367 (or 94359 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13134142332 its reverse (23324143131), we get a palindrome (36458285463).

The spelling of 13134142332 in words is "thirteen billion, one hundred thirty-four million, one hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1307 2614 3921 5228 7842 11763 15684 23526 35289 47052 70578 93047 141156 186094 279141 372188 558282 837423 1116564 1674846 2512269 3349692 5024538 10049076 121612429 243224858 364837287 486449716 729674574 1094511861 1459349148 2189023722 3283535583 4378047444 6567071166 13134142332