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3411643131 = 34133239927
BaseRepresentation
bin1100101101011001…
…1000101011111011
322210202121102120000
43023112120223323
523441340040011
61322311204043
7150354326301
oct31326305373
98722542500
103411643131
1114a0868a86
127b2676623
13424a71560
1424515c271
1514e7a7356
hexcb598afb

3411643131 has 20 divisors (see below), whose sum is σ = 5488438032. Its totient is φ = 2099472048.

The previous prime is 3411643129. The next prime is 3411643139. The reversal of 3411643131 is 1313461143.

3411643131 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 643 + 13 + 1 = 666.

It is not a de Polignac number, because 3411643131 - 21 = 3411643129 is a prime.

It is a super-2 number, since 2×34116431312 = 23278617706598966322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3411643095 and 3411643104.

It is not an unprimeable number, because it can be changed into a prime (3411643139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1618911 + ... + 1621016.

Almost surely, 23411643131 is an apocalyptic number.

3411643131 is a deficient number, since it is larger than the sum of its proper divisors (2076794901).

3411643131 is a wasteful number, since it uses less digits than its factorization.

3411643131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239952 (or 3239943 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3411643131 is about 58409.2726457024. The cubic root of 3411643131 is about 1505.4090831008.

The spelling of 3411643131 in words is "three billion, four hundred eleven million, six hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 3239927 9719781 29159343 42119051 87478029 126357153 262434087 379071459 1137214377 3411643131