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13131022208 = 271953101873
BaseRepresentation
bin11000011101010101…
…10111111110000000
31020220010100001010212
430032222313332000
5203343020202313
610010551213252
7643253563403
oct141652677600
936803301125
1013131022208
115629135377
122665677228
131313587835
148c7d13d3a
1551cbd33a8
hex30eab7f80

13131022208 has 64 divisors (see below), whose sum is σ = 28056099600. Its totient is φ = 6102540288.

The previous prime is 13131022181. The next prime is 13131022217. The reversal of 13131022208 is 80222013131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77960 + ... + 179832.

Almost surely, 213131022208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131022208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14028049800).

13131022208 is an abundant number, since it is smaller than the sum of its proper divisors (14925077392).

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

13131022208 is a wasteful number, since it uses less digits than its factorization.

13131022208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101959 (or 101947 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 13131022208 its reverse (80222013131), we get a palindrome (93353035339).

The spelling of 13131022208 in words is "thirteen billion, one hundred thirty-one million, twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 128 152 212 304 424 608 848 1007 1216 1696 2014 2432 3392 4028 6784 8056 16112 32224 64448 101873 128896 203746 407492 814984 1629968 1935587 3259936 3871174 5399269 6519872 7742348 10798538 13039744 15484696 21597076 30969392 43194152 61938784 86388304 102586111 123877568 172776608 205172222 247755136 345553216 410344444 691106432 820688888 1641377776 3282755552 6565511104 13131022208