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3131211402 = 23211175991553
BaseRepresentation
bin1011101010100010…
…0111111010001010
322002012221000112200
42322220213322022
522403042231102
61234412421030
7140410600134
oct27250477212
98065830480
103131211402
11136753a520
12734777776
133ab935517
14219c00054
15134d6151c
hexbaa27e8a

3131211402 has 96 divisors (see below), whose sum is σ = 7854537600. Its totient is φ = 890972160.

The previous prime is 3131211397. The next prime is 3131211409. The reversal of 3131211402 is 2041121313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3131211409) 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 47 ways as a sum of consecutive naturals, for example, 2015458 + ... + 2017010.

It is an arithmetic number, because the mean of its divisors is an integer number (81818100).

Almost surely, 23131211402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131211402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927268800).

3131211402 is an abundant number, since it is smaller than the sum of its proper divisors (4723326198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3131211402 is a wasteful number, since it uses less digits than its factorization.

3131211402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3131211402 is about 55957.2283266425. The cubic root of 3131211402 is about 1462.9768813468.

Adding to 3131211402 its reverse (2041121313), we get a palindrome (5172332715).

The spelling of 3131211402 in words is "three billion, one hundred thirty-one million, two hundred eleven thousand, four hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 599 1122 1198 1553 1683 1797 3106 3366 3594 4659 5391 6589 9318 10183 10782 13178 13977 17083 19767 20366 26401 27954 30549 34166 39534 51249 52802 59301 61098 79203 91647 102498 112013 118602 153747 158406 183294 224026 237609 290411 307494 336039 475218 580822 672078 871233 930247 1008117 1742466 1860494 2016234 2613699 2790741 5227398 5581482 8372223 10232717 15814199 16744446 20465434 30698151 31628398 47442597 61396302 92094453 94885194 142327791 173956189 184188906 284655582 347912378 521868567 1043737134 1565605701 3131211402