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13122513404 = 227211213311373
BaseRepresentation
bin11000011100010100…
…11010100111111100
31020212112022202020222
430032022122213330
5203333330412104
610010045000512
7643121344400
oct141612324774
936775282228
1013122513404
115624353600
122662853138
131311898940
148c6b3b100
1551c0a21be
hex30e29a9fc

13122513404 has 216 divisors, whose sum is σ = 32665497984. Its totient is φ = 4563820800.

The previous prime is 13122513359. The next prime is 13122513413. The reversal of 13122513404 is 40431522131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9556862 + ... + 9558234.

Almost surely, 213122513404 is an apocalyptic number.

13122513404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122513404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16332748992).

13122513404 is an abundant number, since it is smaller than the sum of its proper divisors (19542984580).

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

13122513404 is a wasteful number, since it uses less digits than its factorization.

13122513404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 13122513404 in words is "thirteen billion, one hundred twenty-two million, five hundred thirteen thousand, four hundred four".