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131020442112 = 293712185681
BaseRepresentation
bin111101000000101101…
…1010100101000000000
3110112012001002002001010
41322001123110220000
54121312213121422
6140105010440520
712315544245150
oct1720133245000
9415161062033
10131020442112
115062469541a
1221486593140
13c48041b431
1464acc18760
15361c731b0c
hex1e816d4a00

131020442112 has 80 divisors (see below), whose sum is σ = 398910485952. Its totient is φ = 37434408960.

The previous prime is 131020442101. The next prime is 131020442131. The reversal of 131020442112 is 211244020131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6082089 + ... + 6103592.

Almost surely, 2131020442112 is an apocalyptic number.

131020442112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131020442112 is an abundant number, since it is smaller than the sum of its proper divisors (267890043840).

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

131020442112 is an equidigital number, since it uses as much as digits as its factorization.

131020442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12185709 (or 12185693 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 131020442112 its reverse (211244020131), we get a palindrome (342264462243).

The spelling of 131020442112 in words is "one hundred thirty-one billion, twenty million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 12185681 24371362 36557043 48742724 73114086 85299767 97485448 146228172 170599534 194970896 255899301 292456344 341199068 389941792 511798602 584912688 682398136 779883584 1023597204 1169825376 1364796272 1559767168 2047194408 2339650752 2729592544 3119534336 4094388816 4679301504 5459185088 6239068672 8188777632 9358603008 10918370176 16377555264 18717206016 21836740352 32755110528 43673480704 65510221056 131020442112