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13021132410 = 232511137091427
BaseRepresentation
bin11000010000001111…
…01011011001111010
31020121110120001200100
430020013223121322
5203131402214120
65552024020230
7640450541106
oct141007533172
936543501610
1013021132410
1155820a9560
122634901676
1312c68906a0
148b74aa906
15513228490
hex3081eb67a

13021132410 has 192 divisors, whose sum is σ = 39857650560. Its totient is φ = 2907671040.

The previous prime is 13021132391. The next prime is 13021132429. The reversal of 13021132410 is 1423112031.

13021132410 is a `hidden beast` number, since 13 + 0 + 211 + 32 + 410 = 666.

13021132410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13021132391) and next prime (13021132429).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9124117 + ... + 9125543.

It is an arithmetic number, because the mean of its divisors is an integer number (207591930).

Almost surely, 213021132410 is an apocalyptic number.

13021132410 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 13021132410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19928825280).

13021132410 is an abundant number, since it is smaller than the sum of its proper divisors (26836518150).

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

13021132410 is a wasteful number, since it uses less digits than its factorization.

13021132410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13021132410 its reverse (1423112031), we get a palindrome (14444244441).

The spelling of 13021132410 in words is "thirteen billion, twenty-one million, one hundred thirty-two thousand, four hundred ten".