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13310132130 = 232519127167367
BaseRepresentation
bin11000110010101100…
…00111111110100010
31021100121100202202200
430121112013332202
5204224343212010
610040430154030
7650560153641
oct143126077642
937317322680
1013310132130
11571024a2a9
1226b5652916
131341709539
14903a19358
1552d7b2cc0
hex319587fa2

13310132130 has 192 divisors, whose sum is σ = 37035048960. Its totient is φ = 3307070592.

The previous prime is 13310132123. The next prime is 13310132141. The reversal of 13310132130 is 3123101331.

It is a happy number.

13310132130 is a `hidden beast` number, since 1 + 3 + 310 + 1 + 321 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 36267207 + ... + 36267573.

It is an arithmetic number, because the mean of its divisors is an integer number (192890880).

Almost surely, 213310132130 is an apocalyptic number.

13310132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517524480).

13310132130 is an abundant number, since it is smaller than the sum of its proper divisors (23724916830).

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

13310132130 is a wasteful number, since it uses less digits than its factorization.

13310132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13310132130 its reverse (3123101331), we get a palindrome (16433233461).

The spelling of 13310132130 in words is "thirteen billion, three hundred ten million, one hundred thirty-two thousand, one hundred thirty".