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103382942313 = 3731619726839
BaseRepresentation
bin110000001001000011…
…0101000001001101001
3100212211221020121200110
41200102012220021221
53143212013123223
6115254331124533
710316632340040
oct1402206501151
9325757217613
10103382942313
113a931a807a2
12180528a3749
139997642461
14500a46b557
152a51222d93
hex18121a8269

103382942313 has 64 divisors (see below), whose sum is σ = 166993756160. Its totient is φ = 55651276800.

The previous prime is 103382942269. The next prime is 103382942347. The reversal of 103382942313 is 313249283301.

It is not a de Polignac number, because 103382942313 - 28 = 103382942057 is a prime.

It is a super-2 number, since 2×1033829423132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103382942353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3838548 + ... + 3865386.

It is an arithmetic number, because the mean of its divisors is an integer number (2609277440).

Almost surely, 2103382942313 is an apocalyptic number.

It is an amenable number.

103382942313 is a deficient number, since it is larger than the sum of its proper divisors (63610813847).

103382942313 is a wasteful number, since it uses less digits than its factorization.

103382942313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27038.

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 103382942313 in words is "one hundred three billion, three hundred eighty-two million, nine hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 7 21 31 61 93 97 183 217 291 427 651 679 1281 1891 2037 3007 5673 5917 9021 13237 17751 21049 26839 39711 41419 63147 80517 124257 183427 187873 550281 563619 832009 1283989 1637179 2496027 2603383 3851967 4911537 5824063 7810149 11460253 17472189 18223681 34380759 50752549 54671043 80704873 152257647 158806363 242114619 355267843 476419089 564934111 1065803529 1111644541 1694802333 3334933623 4922997253 14768991759 34460980771 103382942313