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131143213244412 = 223217214286296151
BaseRepresentation
bin11101110100011000101000…
…101000111101111111111100
3122012100011120000102022200100
4131310120220220331333330
5114142122300042310122
61142530205505201100
736423533036021355
oct3564305050757774
9565304500368610
10131143213244412
1138871584a86356
1212860524930190
1358239a103aa65
1424555188a8d2c
151026508b98aac
hex774628a3dffc

131143213244412 has 36 divisors (see below), whose sum is σ = 351000953096976. Its totient is φ = 41142968860800.

The previous prime is 131143213244411. The next prime is 131143213244437. The reversal of 131143213244412 is 214442312341131.

131143213244412 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 3 + 213 + 24 + 4 + 412 = 666.

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

It is a super-2 number, since 2×1311432132444122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131143213244411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107143147464 + ... + 107143148687.

It is an arithmetic number, because the mean of its divisors is an integer number (9750026474916).

Almost surely, 2131143213244412 is an apocalyptic number.

131143213244412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131143213244412 is an abundant number, since it is smaller than the sum of its proper divisors (219857739852564).

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

131143213244412 is a wasteful number, since it uses less digits than its factorization.

131143213244412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214286296178 (or 214286296173 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 131143213244412 its reverse (214442312341131), we get a palindrome (345585525585543).

The spelling of 131143213244412 in words is "one hundred thirty-one trillion, one hundred forty-three billion, two hundred thirteen million, two hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 214286296151 428572592302 642858888453 857145184604 1285717776906 1928576665359 2571435553812 3642867034567 3857153330718 7285734069134 7714306661436 10928601103701 14571468138268 21857202207402 32785803311103 43714404414804 65571606622206 131143213244412