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131223213132 = 223112371419281
BaseRepresentation
bin111101000110110000…
…0110101010001001100
3110112201011121220120220
41322031200311101030
54122221120310012
6140141052511340
712323555623254
oct1721540652114
9415634556526
10131223213132
11507190a0280
122152247b550
13c4b3435a9b
1464cbb1c964
15363043708c
hex1e8d83544c

131223213132 has 48 divisors (see below), whose sum is σ = 334164399744. Its totient is φ = 39747744000.

The previous prime is 131223213109. The next prime is 131223213179. The reversal of 131223213132 is 231312322131.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 103332 + ... + 522612.

It is an arithmetic number, because the mean of its divisors is an integer number (6961758328).

Almost surely, 2131223213132 is an apocalyptic number.

131223213132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131223213132 is an abundant number, since it is smaller than the sum of its proper divisors (202941186612).

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

131223213132 is a wasteful number, since it uses less digits than its factorization.

131223213132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421670 (or 421668 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 131223213132 its reverse (231312322131), we get a palindrome (362535535263).

The spelling of 131223213132 in words is "one hundred thirty-one billion, two hundred twenty-three million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2371 4742 7113 9484 14226 26081 28452 52162 78243 104324 156486 312972 419281 838562 1257843 1677124 2515686 4612091 5031372 9224182 13836273 18448364 27672546 55345092 994115251 1988230502 2982345753 3976461004 5964691506 10935267761 11929383012 21870535522 32805803283 43741071044 65611606566 131223213132