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23100311311 = 7112922331531
BaseRepresentation
bin10101100000111000…
…101100011100001111
32012121220022101211121
4111200320230130033
5334302134430221
614340115501411
71445306256250
oct254070543417
965556271747
1023100311311
119884583880
1245882b7867
132241ab157c
141191d60b27
15903026a41
hex560e2c70f

23100311311 has 48 divisors (see below), whose sum is σ = 29975332608. Its totient is φ = 17293651200.

The previous prime is 23100311279. The next prime is 23100311341. The reversal of 23100311311 is 11311300132.

It is not a de Polignac number, because 23100311311 - 25 = 23100311279 is a prime.

It is a super-2 number, since 2×231003113112 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23100311341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15087616 + ... + 15089146.

It is an arithmetic number, because the mean of its divisors is an integer number (624486096).

Almost surely, 223100311311 is an apocalyptic number.

23100311311 is a deficient number, since it is larger than the sum of its proper divisors (6875021297).

23100311311 is a wasteful number, since it uses less digits than its factorization.

23100311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 23100311311 its reverse (11311300132), we get a palindrome (34411611443).

The spelling of 23100311311 in words is "twenty-three billion, one hundred million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 7 11 29 77 203 233 319 841 1531 1631 2233 2563 5887 6757 9251 10717 16841 17941 44399 47299 64757 74327 117887 195953 310793 356723 488389 520289 1287571 1371671 2155483 2497061 3418723 3923953 9012997 10344967 14163281 15088381 27467671 72414769 99142967 113794637 300004043 796562459 2100028301 3300044473 23100311311