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103011323121 = 32779128916057
BaseRepresentation
bin101111111101111110…
…1000000110011110001
3100211220000222101222200
41133323331000303301
53141431344314441
6115153414053413
710304500541130
oct1377375006361
9324800871880
10103011323121
113a76122a7a3
1217b6a34a269
139938659b45
144db2d73917
152a2d7b87b6
hex17fbf40cf1

103011323121 has 48 divisors (see below), whose sum is σ = 172347302400. Its totient is φ = 58069799424.

The previous prime is 103011323101. The next prime is 103011323123. The reversal of 103011323121 is 121323110301.

It is not a de Polignac number, because 103011323121 - 210 = 103011322097 is a prime.

It is a super-2 number, since 2×1030113231212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103011323094 and 103011323103.

It is not an unprimeable number, because it can be changed into a prime (103011323123) 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 47 ways as a sum of consecutive naturals, for example, 6407325 + ... + 6423381.

It is an arithmetic number, because the mean of its divisors is an integer number (3590568800).

Almost surely, 2103011323121 is an apocalyptic number.

It is an amenable number.

103011323121 is a deficient number, since it is larger than the sum of its proper divisors (69335979279).

103011323121 is a wasteful number, since it uses less digits than its factorization.

103011323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17438 (or 17435 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103011323121 its reverse (121323110301), we get a palindrome (224334433422).

The spelling of 103011323121 in words is "one hundred three billion, eleven million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 79 237 553 711 1289 1659 3867 4977 9023 11601 16057 27069 48171 81207 101831 112399 144513 305493 337197 712817 916479 1011591 1268503 2138451 3805509 6415353 8879521 11416527 20697473 26638563 62092419 79915689 144882311 186277257 434646933 1303940799 1635100367 4905301101 11445702569 14715903303 34337107707 103011323121