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30131111113103 = 711131011571898279
BaseRepresentation
bin1101101100111011100100…
…01011001011000110001111
310221200111122221101101202002
412312131302023023012033
512422132003421104403
6144030012533222515
76226621010433320
oct666356213130617
9127614587341662
1030131111113103
119667594785980
123467740191a3b
1313a7475585b50
147624d4248447
15373ba546b188
hex1b67722cb18f

30131111113103 has 64 divisors (see below), whose sum is σ = 41116562565120. Its totient is φ = 21321458496000.

The previous prime is 30131111113091. The next prime is 30131111113109.

It is a happy number.

30131111113103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30131111113103 - 24 = 30131111113087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30131111113109) 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, 14923718 + ... + 16821996.

It is an arithmetic number, because the mean of its divisors is an integer number (642446290080).

Almost surely, 230131111113103 is an apocalyptic number.

30131111113103 is a deficient number, since it is larger than the sum of its proper divisors (10985451452017).

30131111113103 is a wasteful number, since it uses less digits than its factorization.

30131111113103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898568.

The product of its (nonzero) digits is 81, while the sum is 20.

It can be divided in two parts, 3013111 and 1113103, that added together give a palindrome (4126214).

The spelling of 30131111113103 in words is "thirty trillion, one hundred thirty-one billion, one hundred eleven million, one hundred thirteen thousand, one hundred three".

Divisors: 1 7 11 13 77 91 101 143 157 707 1001 1099 1111 1313 1727 2041 7777 9191 12089 14287 14443 15857 22451 101101 110999 157157 174427 206141 1220989 1442987 1898279 2267551 13287953 15872857 20881069 24677627 146167483 172743389 191726179 271453897 298029803 1342083253 1900177279 2086208621 2108987969 2492440327 3278327833 3874387439 14762915783 17447082289 22948294831 27120712073 27416843597 30101010103 42618261829 191917905179 210707070721 298327832803 331111111133 391313131339 2317777777931 2739191919373 4304444444729 30131111113103