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132212312010 = 232537239271613
BaseRepresentation
bin111101100100001110…
…1111100011111001010
3110122021002210100011200
41323020131330133022
54131232322441020
6140423144405030
712360226052412
oct1731035743712
9418232710150
10132212312010
1151086448969
1221759776776
13c6103271ac
14658322d642
15368c1b3590
hex1ec877c7ca

132212312010 has 192 divisors, whose sum is σ = 356408432640. Its totient is φ = 33978631680.

The previous prime is 132212311949. The next prime is 132212312027. The reversal of 132212312010 is 10213212231.

132212312010 is a `hidden beast` number, since 13 + 221 + 231 + 201 + 0 = 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, 215680464 + ... + 215681076.

It is an arithmetic number, because the mean of its divisors is an integer number (1856293920).

Almost surely, 2132212312010 is an apocalyptic number.

132212312010 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 132212312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178204216320).

132212312010 is an abundant number, since it is smaller than the sum of its proper divisors (224196120630).

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

132212312010 is a wasteful number, since it uses less digits than its factorization.

132212312010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1170 counting only the distinct ones).

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

Adding to 132212312010 its reverse (10213212231), we get a palindrome (142425524241).

The spelling of 132212312010 in words is "one hundred thirty-two billion, two hundred twelve million, three hundred twelve thousand, ten".