Search a number
-
+
131100223212 = 22327171937101431
BaseRepresentation
bin111101000011000101…
…1101010011011101100
3110112101121012101010200
41322012023222123230
54121443124120322
6140120540433500
712320533340130
oct1720613523354
9415347171120
10131100223212
1150665727112
12214a9248890
13c493b02c9a
1464b96653c0
1536247408ac
hex1e862ea6ec

131100223212 has 576 divisors, whose sum is σ = 438835138560. Its totient is φ = 32099328000.

The previous prime is 131100223211. The next prime is 131100223273. The reversal of 131100223212 is 212322001131.

131100223212 is a `hidden beast` number, since 131 + 100 + 223 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131100223211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 304176637 + ... + 304177067.

It is an arithmetic number, because the mean of its divisors is an integer number (761866560).

Almost surely, 2131100223212 is an apocalyptic number.

131100223212 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 131100223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219417569280).

131100223212 is an abundant number, since it is smaller than the sum of its proper divisors (307734915348).

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

131100223212 is a wasteful number, since it uses less digits than its factorization.

131100223212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131100223212 its reverse (212322001131), we get a palindrome (343422224343).

The spelling of 131100223212 in words is "one hundred thirty-one billion, one hundred million, two hundred twenty-three thousand, two hundred twelve".