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131223212112 = 24319607237043
BaseRepresentation
bin111101000110110000…
…0110101000001010000
3110112201011121212012010
41322031200311001100
54122221120241422
6140141052502520
712323555620266
oct1721540650120
9415634555163
10131223212112
115071909a533
122152247aa40
13c4b3435495
1464cbb1c436
153630436b0c
hex1e8d835050

131223212112 has 80 divisors (see below), whose sum is σ = 357424424960. Its totient is φ = 41370466176.

The previous prime is 131223212089. The next prime is 131223212123. The reversal of 131223212112 is 211212322131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435063 + ... + 672105.

It is an arithmetic number, because the mean of its divisors is an integer number (4467805312).

Almost surely, 2131223212112 is an apocalyptic number.

131223212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131223212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178712212480).

131223212112 is an abundant number, since it is smaller than the sum of its proper divisors (226201212848).

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

131223212112 is a wasteful number, since it uses less digits than its factorization.

131223212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237680 (or 237674 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 131223212112 its reverse (211212322131), we get a palindrome (342435534243).

The spelling of 131223212112 in words is "one hundred thirty-one billion, two hundred twenty-three million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 607 912 1214 1821 2428 3642 4856 7284 9712 11533 14568 23066 29136 34599 46132 69198 92264 138396 184528 237043 276792 474086 553584 711129 948172 1422258 1896344 2844516 3792688 4503817 5689032 9007634 11378064 13511451 18015268 27022902 36030536 54045804 72061072 108091608 143885101 216183216 287770202 431655303 575540404 863310606 1151080808 1726621212 2302161616 2733816919 3453242424 5467633838 6906484848 8201450757 10935267676 16402901514 21870535352 32805803028 43741070704 65611606056 131223212112