Search a number
-
+
131211122111212 = 2211131111920630459
BaseRepresentation
bin11101110101010111111000…
…010100101111001011101100
3122012120122211200221012002011
4131311113320110233023230
5114144230334230024322
61143021320220011004
736431455631613643
oct3565277024571354
9565518750835064
10131211122111212
1138898362846070
1212871717390a64
13582a204180390
14245891b8a235a
1510281808e4677
hex7755f852f2ec

131211122111212 has 48 divisors (see below), whose sum is σ = 269787001075200. Its totient is φ = 55048663690560.

The previous prime is 131211122111177. The next prime is 131211122111213. The reversal of 131211122111212 is 212111221112131.

It is a super-2 number, since 2×1312111221112122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (131211122111213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3955162 + ... + 16675297.

It is an arithmetic number, because the mean of its divisors is an integer number (5620562522400).

Almost surely, 2131211122111212 is an apocalyptic number.

It is an amenable number.

131211122111212 is an abundant number, since it is smaller than the sum of its proper divisors (138575878963988).

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

131211122111212 is a wasteful number, since it uses less digits than its factorization.

131211122111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20641606 (or 20641604 counting only the distinct ones).

The product of its digits is 96, while the sum is 22.

Adding to 131211122111212 its reverse (212111221112131), we get a palindrome (343322343223343).

It can be divided in two parts, 1 and 31211122111212, that added together give a palindrome (31211122111213).

The spelling of 131211122111212 in words is "one hundred thirty-one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 11119 22238 44476 122309 144547 244618 289094 489236 578188 1590017 3180034 6360068 20630459 41260918 82521836 226935049 268195967 453870098 536391934 907740196 1072783868 2950155637 5900311274 11800622548 229390073621 458780147242 917560294484 2523290809831 2982070957073 5046581619662 5964141914146 10093163239324 11928283828292 32802780527803 65605561055606 131211122111212