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103313021331 = 31367271145897
BaseRepresentation
bin110000000110111101…
…1111001100110010011
3100212200001200021010110
41200031323321212103
53143041113140311
6115243352332403
710315123122552
oct1401573714623
9325601607113
10103313021331
113a8a6564063
12180333a4103
1399860008b0
145001069d99
152a4a0108a6
hex180def9993

103313021331 has 32 divisors (see below), whose sum is σ = 151117646848. Its totient is φ = 62396801280.

The previous prime is 103313021327. The next prime is 103313021347. The reversal of 103313021331 is 133120313301.

It is not a de Polignac number, because 103313021331 - 22 = 103313021327 is a prime.

It is a super-2 number, since 2×1033130213312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103313021298 and 103313021307.

It is not an unprimeable number, because it can be changed into a prime (103313011331) 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, 635175 + ... + 781071.

It is an arithmetic number, because the mean of its divisors is an integer number (4722426464).

Almost surely, 2103313021331 is an apocalyptic number.

103313021331 is a deficient number, since it is larger than the sum of its proper divisors (47804625517).

103313021331 is a wasteful number, since it uses less digits than its factorization.

103313021331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146251.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103313021331 its reverse (133120313301), we get a palindrome (236433334632).

The spelling of 103313021331 in words is "one hundred three billion, three hundred thirteen million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 13 39 67 201 271 813 871 2613 3523 10569 18157 54471 145897 236041 437691 708123 1896661 5689983 9775099 29325297 39538087 118614261 127076287 381228861 513995131 1541985393 2649051829 7947155487 34437673777 103313021331