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312341201106 = 231123205758367
BaseRepresentation
bin1001000101110001111…
…11001000000011010010
31002212012121002000000120
410202320333020003102
520104133321413411
6355253151531110
731365051255444
oct4427077100322
91085177060016
10312341201106
11110510513360
125064a529a96
13235b888867c
14111901ba494
1581d0d7b106
hex48b8fc80d2

312341201106 has 32 divisors (see below), whose sum is σ = 711100919808. Its totient is φ = 90533681040.

The previous prime is 312341201101. The next prime is 312341201119. The reversal of 312341201106 is 601102143213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (312341201101) 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 15 ways as a sum of consecutive naturals, for example, 102877666 + ... + 102880701.

It is an arithmetic number, because the mean of its divisors is an integer number (22221903744).

Almost surely, 2312341201106 is an apocalyptic number.

312341201106 is an abundant number, since it is smaller than the sum of its proper divisors (398759718702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312341201106 is a wasteful number, since it uses less digits than its factorization.

312341201106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205758406.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 312341201106 its reverse (601102143213), we get a palindrome (913443344319).

The spelling of 312341201106 in words is "three hundred twelve billion, three hundred forty-one million, two hundred one thousand, one hundred six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 205758367 411516734 617275101 1234550202 2263342037 4526684074 4732442441 6790026111 9464884882 13580052222 14197327323 28394654646 52056866851 104113733702 156170600553 312341201106