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103011233013 = 32137319960607
BaseRepresentation
bin101111111101111110…
…0101010110011110101
3100211220000210211101100
41133323330222303311
53141431333424023
6115153412120313
710304500014333
oct1377374526365
9324800724340
10103011233013
113a761179027
1217b6a306099
139938627b20
144db2d4cb53
152a2d79bc43
hex17fbf2acf5

103011233013 has 48 divisors (see below), whose sum is σ = 163253708800. Its totient is φ = 62207937792.

The previous prime is 103011233009. The next prime is 103011233041. The reversal of 103011233013 is 310332110301.

It is a happy number.

103011233013 is a `hidden beast` number, since 10 + 301 + 12 + 330 + 13 = 666.

It is not a de Polignac number, because 103011233013 - 22 = 103011233009 is a prime.

It is a super-2 number, since 2×1030112330132 (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 (103011233113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1669356 + ... + 1729962.

Almost surely, 2103011233013 is an apocalyptic number.

103011233013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103011233013 is a deficient number, since it is larger than the sum of its proper divisors (60242475787).

103011233013 is a wasteful number, since it uses less digits than its factorization.

103011233013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60898 (or 60895 counting only the distinct ones).

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

Adding to 103011233013 its reverse (310332110301), we get a palindrome (413343343314).

The spelling of 103011233013 in words is "one hundred three billion, eleven million, two hundred thirty-three thousand, thirteen".

Divisors: 1 3 9 13 39 73 117 199 219 597 657 949 1791 2587 2847 7761 8541 14527 23283 43581 60607 130743 181821 188851 545463 566553 787891 1699659 2363673 4424311 7091019 12060793 13272933 36182379 39818799 57516043 108547137 156790309 172548129 470370927 517644387 880437889 1411112781 2641313667 7923941001 11445692557 34337077671 103011233013