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103010313132 = 223219150599873
BaseRepresentation
bin101111111101111100…
…1001010001110101100
3100211212222002002112200
41133323321022032230
53141431120010012
6115153340301500
710304456133426
oct1377371121654
9324788062480
10103010313132
113a7606aa9a1
1217b69b41890
13993839520c
144db2b8d816
152a2d6693dc
hex17fbe4a3ac

103010313132 has 36 divisors (see below), whose sum is σ = 274091770680. Its totient is φ = 32529572352.

The previous prime is 103010313121. The next prime is 103010313139. The reversal of 103010313132 is 231313010301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1030103131322 (a number of 23 digits) contains 22 as substring.

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 (103010313139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75299253 + ... + 75300620.

Almost surely, 2103010313132 is an apocalyptic number.

103010313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103010313132 is an abundant number, since it is smaller than the sum of its proper divisors (171081457548).

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

103010313132 is a wasteful number, since it uses less digits than its factorization.

103010313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150599902 (or 150599897 counting only the distinct ones).

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

Adding to 103010313132 its reverse (231313010301), we get a palindrome (334323323433).

The spelling of 103010313132 in words is "one hundred three billion, ten million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 150599873 301199746 451799619 602399492 903599238 1355398857 1807198476 2710797714 2861397587 5421595428 5722795174 8584192761 11445590348 17168385522 25752578283 34336771044 51505156566 103010313132