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3133133031 = 371723513733
BaseRepresentation
bin1011101010111111…
…1101000011100111
322002100112122112010
42322233331003213
522404040224111
61234521525303
7140433122430
oct27257750347
98070478463
103133133031
111368632246
12735343833
133ac159092
1421a180487
151350e0aa6
hexbabfd0e7

3133133031 has 32 divisors (see below), whose sum is σ = 5058643968. Its totient is φ = 1683878400.

The previous prime is 3133133023. The next prime is 3133133051. The reversal of 3133133031 is 1303313313.

It is not a de Polignac number, because 3133133031 - 23 = 3133133023 is a prime.

It is a super-2 number, since 2×31331330312 = 19633045179886493922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3133132989 and 3133133007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133133021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837441 + ... + 841173.

It is an arithmetic number, because the mean of its divisors is an integer number (158082624).

Almost surely, 23133133031 is an apocalyptic number.

3133133031 is a deficient number, since it is larger than the sum of its proper divisors (1925510937).

3133133031 is a wasteful number, since it uses less digits than its factorization.

3133133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111.

The product of its (nonzero) digits is 729, while the sum is 21.

The square root of 3133133031 is about 55974.3962093384. The cubic root of 3133133031 is about 1463.2760971600.

Adding to 3133133031 its reverse (1303313313), we get a palindrome (4436446344).

The spelling of 3133133031 in words is "three billion, one hundred thirty-three million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 7 17 21 51 119 357 2351 3733 7053 11199 16457 26131 39967 49371 63461 78393 119901 190383 279769 444227 839307 1332681 8776283 26328849 61433981 149196811 184301943 447590433 1044377677 3133133031