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103225001113 = 131729612291153
BaseRepresentation
bin110000000100010110…
…0001000010010011001
3100212102221001101002101
41200020230020102121
53142401100013423
6115230530003401
710313004014053
oct1401054102231
9325387041071
10103225001113
113a860905183
1218009a16561
1399709c2b20
144dd34b68d3
152a424257ad
hex1808b08499

103225001113 has 64 divisors (see below), whose sum is σ = 124407662400. Its totient is φ = 84722319360.

The previous prime is 103225001107. The next prime is 103225001119. The reversal of 103225001113 is 311100522301.

It is an interprime number because it is at equal distance from previous prime (103225001107) and next prime (103225001119).

It can be written as a sum of positive squares in 32 ways, for example, as 43636285449 + 59588715664 = 208893^2 + 244108^2 .

It is a cyclic number.

It is not a de Polignac number, because 103225001113 - 29 = 103225000601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103225001119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89526745 + ... + 89527897.

It is an arithmetic number, because the mean of its divisors is an integer number (1943869725).

Almost surely, 2103225001113 is an apocalyptic number.

103225001113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103225001113 is a deficient number, since it is larger than the sum of its proper divisors (21182661287).

103225001113 is a wasteful number, since it uses less digits than its factorization.

103225001113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 103225001113 its reverse (311100522301), we get a palindrome (414325523414).

The spelling of 103225001113 in words is "one hundred three billion, two hundred twenty-five million, one thousand, one hundred thirteen".

Divisors: 1 13 17 29 61 221 229 377 493 793 1037 1153 1769 2977 3893 6409 6641 13481 13969 14989 19601 22997 30073 33437 50609 70333 86333 112897 181597 237473 254813 264037 390949 405101 434681 568429 914329 1195661 1467661 2039657 3087149 3432481 4488629 5266313 6886717 7389577 7657073 15543593 16106257 26515541 34674169 58352177 89527321 99541949 130170241 209381341 273806369 450764197 467081453 1692213133 3559482797 6072058889 7940384701 103225001113