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1012212112131 = 3211401214111909
BaseRepresentation
bin11101011101011001000…
…10110001101100000011
310120202200210122222222100
432232230202301230003
5113041002300042011
62053000454241443
7133062362664333
oct16565442615403
93522623588870
101012212112131
11360305392550
1214420b956283
13745b33686ac
1436dc42bb0c3
151b4e3934d56
hexebac8b1b03

1012212112131 has 48 divisors (see below), whose sum is σ = 1599859628640. Its totient is φ = 611594880000.

The previous prime is 1012212112069. The next prime is 1012212112139. The reversal of 1012212112131 is 1312112122101.

It is a happy number.

1012212112131 is a `hidden beast` number, since 101 + 221 + 211 + 2 + 131 = 666.

1012212112131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1012212112131 - 211 = 1012212110083 is a prime.

It is a super-2 number, since 2×10122121121312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012212112139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84989605 + ... + 85001513.

It is an arithmetic number, because the mean of its divisors is an integer number (33330408930).

Almost surely, 21012212112131 is an apocalyptic number.

1012212112131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012212112131 is a deficient number, since it is larger than the sum of its proper divisors (587647516509).

1012212112131 is a wasteful number, since it uses less digits than its factorization.

1012212112131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14468 (or 14465 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1012212112131 its reverse (1312112122101), we get a palindrome (2324324234232).

The spelling of 1012212112131 in words is "one trillion, twelve billion, two hundred twelve million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 401 1203 2141 3609 4411 6423 11909 13233 19269 23551 35727 39699 70653 107181 130999 211959 392997 858541 1178991 2575623 4775509 7726869 9443951 14326527 25497169 28331853 42979581 52530599 76491507 84995559 157591797 229474521 280468859 472775391 841406577 2524219731 10224364769 30673094307 92019282921 112468012459 337404037377 1012212112131