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132112313010 = 23551727111801
BaseRepresentation
bin111101100001010000…
…0011110101010110010
3110122000010121212100000
41323002200132222302
54131031223004020
6140405213210430
712354603063216
oct1730240365262
9418003555300
10132112313010
1151034a58167
1221730190a16
13c5c56b3ca2
146573c3c946
15368350e090
hex1ec281eab2

132112313010 has 192 divisors, whose sum is σ = 378591542784. Its totient is φ = 33032448000.

The previous prime is 132112312967. The next prime is 132112313051. The reversal of 132112313010 is 10313211231.

132112313010 is a `hidden beast` number, since 1 + 321 + 12 + 31 + 301 + 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, 11189110 + ... + 11200910.

It is an arithmetic number, because the mean of its divisors is an integer number (1971830952).

Almost surely, 2132112313010 is an apocalyptic number.

132112313010 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 132112313010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189295771392).

132112313010 is an abundant number, since it is smaller than the sum of its proper divisors (246479229774).

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

132112313010 is a wasteful number, since it uses less digits than its factorization.

132112313010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12111 (or 12099 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132112313010 its reverse (10313211231), we get a palindrome (142425524241).

The spelling of 132112313010 in words is "one hundred thirty-two billion, one hundred twelve million, three hundred thirteen thousand, ten".