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3413133031 = 71127355201
BaseRepresentation
bin1100101101110000…
…0100011011100111
322210212102010022111
43023130010123213
523442230224111
61322403141451
7150403103110
oct31334043347
98725363274
103413133031
1114a1696400
127b3074887
13425173759
14245429207
1514e99da21
hexcb7046e7

3413133031 has 24 divisors (see below), whose sum is σ = 4346384672. Its totient is φ = 2623104000.

The previous prime is 3413132971. The next prime is 3413133049. The reversal of 3413133031 is 1303313143.

It is not a de Polignac number, because 3413133031 - 211 = 3413130983 is a prime.

It is a super-2 number, since 2×34131330312 = 23298954174606493922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3413132993 and 3413133011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413133131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34231 + ... + 89431.

Almost surely, 23413133031 is an apocalyptic number.

3413133031 is a deficient number, since it is larger than the sum of its proper divisors (933251641).

3413133031 is a wasteful number, since it uses less digits than its factorization.

3413133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55303 (or 55292 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 3413133031 is about 58422.0252216576. The cubic root of 3413133031 is about 1505.6281938035.

Adding to 3413133031 its reverse (1303313143), we get a palindrome (4716446174).

The spelling of 3413133031 in words is "three billion, four hundred thirteen million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 7 11 73 77 121 511 803 847 5621 8833 55201 61831 386407 607211 4029673 4250477 6679321 28207711 44326403 46755247 310284821 487590433 3413133031