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103031012133 = 3272537955799
BaseRepresentation
bin101111111110100100…
…0000111101100100101
3100211221102000201020100
41133331020013230211
53142001414342013
6115155400054313
710305130103400
oct1377510075445
9324842021210
10103031012133
113a771358405
1217b74a64399
13993c76184a
144db581ad37
152a303a7473
hex17fd207b25

103031012133 has 72 divisors (see below), whose sum is σ = 178622496000. Its totient is φ = 57031805376.

The previous prime is 103031012101. The next prime is 103031012159. The reversal of 103031012133 is 331210130301.

It is a happy number.

It is not a de Polignac number, because 103031012133 - 25 = 103031012101 is a prime.

It is a super-2 number, since 2×1030310121332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103031012173) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1818568 + ... + 1874366.

It is an arithmetic number, because the mean of its divisors is an integer number (2480868000).

Almost surely, 2103031012133 is an apocalyptic number.

It is an amenable number.

103031012133 is a deficient number, since it is larger than the sum of its proper divisors (75591483867).

103031012133 is a wasteful number, since it uses less digits than its factorization.

103031012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55951 (or 55941 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103031012133 its reverse (331210130301), we get a palindrome (434241142434).

The spelling of 103031012133 in words is "one hundred three billion, thirty-one million, twelve thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 49 53 63 79 147 159 237 371 441 477 553 711 1113 1659 2597 3339 3871 4187 4977 7791 11613 12561 23373 29309 34839 37683 55799 87927 167397 205163 263781 390593 502191 615489 1171779 1846467 2734151 2957347 3515337 4408121 8202453 8872041 13224363 20701429 24607359 26616123 30856847 39673089 62104287 92570541 144910003 186312861 215997929 233630413 277711623 434730009 647993787 700891239 1304190027 1635412891 1943981361 2102673717 4906238673 11447890237 14718716019 34343670711 103031012133