Search a number
-
+
131112022212 = 223219191684243
BaseRepresentation
bin111101000011011100…
…0101011000011000100
3110112102102101211022200
41322012320223003010
54122004134202322
6140122041354500
712321035541423
oct1720670530304
9415372354280
10131112022212
1150671355956
12214b1198a30
13c4963a4642
1464bb0572ba
1536257c18ac
hex1e86e2b0c4

131112022212 has 36 divisors (see below), whose sum is σ = 348865324080. Its totient is φ = 41403796272.

The previous prime is 131112022183. The next prime is 131112022247. The reversal of 131112022212 is 212220211131.

131112022212 is a `hidden beast` number, since 1 + 311 + 120 + 22 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 95841438 + ... + 95842805.

Almost surely, 2131112022212 is an apocalyptic number.

131112022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131112022212 is an abundant number, since it is smaller than the sum of its proper divisors (217753301868).

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

131112022212 is a wasteful number, since it uses less digits than its factorization.

131112022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191684272 (or 191684267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131112022212 its reverse (212220211131), we get a palindrome (343332233343).

The spelling of 131112022212 in words is "one hundred thirty-one billion, one hundred twelve million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 191684243 383368486 575052729 766736972 1150105458 1725158187 2300210916 3450316374 3642000617 6900632748 7284001234 10926001851 14568002468 21852003702 32778005553 43704007404 65556011106 131112022212