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103013031 = 31131101997
BaseRepresentation
bin1100010001111…
…01101010100111
321011211121022110
412020331222213
5202332404111
614115532103
72360411352
oct610755247
9234747273
10103013031
115316a240
122a5ba033
131845a074
14d977299
15909c5a6
hex623daa7

103013031 has 32 divisors (see below), whose sum is σ = 156358656. Its totient is φ = 59760000.

The previous prime is 103013011. The next prime is 103013051. The reversal of 103013031 is 130310301.

It is an interprime number because it is at equal distance from previous prime (103013011) and next prime (103013051).

It is not a de Polignac number, because 103013031 - 25 = 103012999 is a prime.

It is a super-2 number, since 2×1030130312 = 21223369111613922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103012998 and 103013016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013011) 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, 102825 + ... + 103821.

It is an arithmetic number, because the mean of its divisors is an integer number (4886208).

Almost surely, 2103013031 is an apocalyptic number.

103013031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103013031 is a deficient number, since it is larger than the sum of its proper divisors (53345625).

103013031 is a wasteful number, since it uses less digits than its factorization.

103013031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 103013031 is about 10149.5335360794. The cubic root of 103013031 is about 468.7745820353.

Adding to 103013031 its reverse (130310301), we get a palindrome (233323332).

The spelling of 103013031 in words is "one hundred three million, thirteen thousand, thirty-one".

Divisors: 1 3 11 31 33 93 101 303 341 997 1023 1111 2991 3131 3333 9393 10967 30907 32901 34441 92721 100697 103323 302091 339977 1019931 1107667 3121607 3323001 9364821 34337677 103013031