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11312101021 = 132292308121
BaseRepresentation
bin10101000100100000…
…01111011010011101
31002012100201021100111
422202100033122131
5141131344213041
65110253330021
7550216162234
oct124220173235
932170637314
1011312101021
114885427a21
122238496911
1310b37a1400
14794513b1b
1546318d981
hex2a240f69d

11312101021 has 12 divisors (see below), whose sum is σ = 12671589780. Its totient is φ = 10081868160.

The previous prime is 11312101013. The next prime is 11312101027. The reversal of 11312101021 is 12010121311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 576240025 + 10735860996 = 24005^2 + 103614^2 .

It is not a de Polignac number, because 11312101021 - 23 = 11312101013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11312100992 and 11312101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312101027) 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, 1149160 + ... + 1158961.

It is an arithmetic number, because the mean of its divisors is an integer number (1055965815).

Almost surely, 211312101021 is an apocalyptic number.

It is an amenable number.

11312101021 is a deficient number, since it is larger than the sum of its proper divisors (1359488759).

11312101021 is a wasteful number, since it uses less digits than its factorization.

11312101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308176 (or 2308163 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11312101021 its reverse (12010121311), we get a palindrome (23322222332).

The spelling of 11312101021 in words is "eleven billion, three hundred twelve million, one hundred one thousand, twenty-one".

Divisors: 1 13 29 169 377 4901 2308121 30005573 66935509 390072449 870161617 11312101021