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132131310312210 = 23511939742609121
BaseRepresentation
bin11110000010110000110111…
…110100001001101100010010
3122022211122000012101010210120
4132002300313310021230102
5114304314410414442320
61145004141434411110
736555113021354226
oct3602606764115422
9568748005333716
10132131310312210
11391126350190a0
121299bb24590a96
135895c102c9a41
14248b292160786
15104208a465440
hex782c37d09b12

132131310312210 has 64 divisors (see below), whose sum is σ = 345980616672384. Its totient is φ = 32028423321600.

The previous prime is 132131310312187. The next prime is 132131310312227. The reversal of 132131310312210 is 12213013131231.

132131310312210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18203551 + ... + 24405570.

It is an arithmetic number, because the mean of its divisors is an integer number (5405947135506).

Almost surely, 2132131310312210 is an apocalyptic number.

132131310312210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132131310312210 is an abundant number, since it is smaller than the sum of its proper divisors (213849306360174).

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

132131310312210 is a wasteful number, since it uses less digits than its factorization.

132131310312210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42618539.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 132131310312210 its reverse (12213013131231), we get a palindrome (144344323443441).

The spelling of 132131310312210 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, three hundred ten million, three hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 9397 18794 28191 46985 56382 93970 103367 140955 206734 281910 310101 516835 620202 1033670 1550505 3101010 42609121 85218242 127827363 213045605 255654726 426091210 468700331 639136815 937400662 1278273630 1406100993 2343501655 2812201986 4687003310 7030504965 14061009930 400397910037 800795820074 1201193730111 2001989550185 2402387460222 4003979100370 4404377010407 6005968650555 8808754020814 12011937301110 13213131031221 22021885052035 26426262062442 44043770104070 66065655156105 132131310312210