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312413041101 = 37210919497787
BaseRepresentation
bin1001000101111010100…
…01001011000111001101
31002212101121020211222010
410202331101023013031
520104310214303401
6355304235411433
731366613014500
oct4427521130715
91085347224863
10312413041101
11110548020857
125066a5b3b79
13235ca71c845
141119995b137
1581d731bed6
hex48bd44b1cd

312413041101 has 24 divisors (see below), whose sum is σ = 489004523040. Its totient is φ = 176883914592.

The previous prime is 312413041099. The next prime is 312413041163. The reversal of 312413041101 is 101140314213.

It is not a de Polignac number, because 312413041101 - 21 = 312413041099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312413041301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9732871 + ... + 9764916.

It is an arithmetic number, because the mean of its divisors is an integer number (20375188460).

Almost surely, 2312413041101 is an apocalyptic number.

It is an amenable number.

312413041101 is a deficient number, since it is larger than the sum of its proper divisors (176591481939).

312413041101 is a wasteful number, since it uses less digits than its factorization.

312413041101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19497913 (or 19497906 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 312413041101 its reverse (101140314213), we get a palindrome (413553355314).

The spelling of 312413041101 in words is "three hundred twelve billion, four hundred thirteen million, forty-one thousand, one hundred one".

Divisors: 1 3 7 21 49 109 147 327 763 2289 5341 16023 19497787 58493361 136484509 409453527 955391563 2125258783 2866174689 6375776349 14876811481 44630434443 104137680367 312413041101