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13071931200 = 2633523143227
BaseRepresentation
bin11000010110010010…
…11101011101000000
31020202000010220112000
430023021131131000
5203232403244300
610001040504000
7641635403406
oct141311353500
936660126460
1013071931200
1155a8845429
12264991b000
131304268543
148c0131476
1551790ec00
hex30b25d740

13071931200 has 672 divisors, whose sum is σ = 50554859520. Its totient is φ = 3280435200.

The previous prime is 13071931181. The next prime is 13071931253. The reversal of 13071931200 is 213917031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57585487 + ... + 57585713.

Almost surely, 213071931200 is an apocalyptic number.

13071931200 is a gapful number since it is divisible by the number (10) 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 13071931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25277429760).

13071931200 is an abundant number, since it is smaller than the sum of its proper divisors (37482928320).

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

13071931200 is a wasteful number, since it uses less digits than its factorization.

13071931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The spelling of 13071931200 in words is "thirteen billion, seventy-one million, nine hundred thirty-one thousand, two hundred".