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311313210102 = 232193136165843
BaseRepresentation
bin1001000011110111011…
…01101001101011110110
31002202112221201122110200
410201323231221223312
520100032140210402
6355003150301330
731330426424226
oct4417355515366
91082487648420
10311313210102
11110033211514
12504021b7846
13234838caa7b
14110d3864086
1581709bb21c
hex487bb69af6

311313210102 has 48 divisors (see below), whose sum is σ = 678515308848. Its totient is φ = 103155978240.

The previous prime is 311313210097. The next prime is 311313210119. The reversal of 311313210102 is 201012313113.

311313210102 is a `hidden beast` number, since 311 + 31 + 321 + 0 + 1 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4695193 + ... + 4761035.

It is an arithmetic number, because the mean of its divisors is an integer number (14135735601).

Almost surely, 2311313210102 is an apocalyptic number.

311313210102 is an abundant number, since it is smaller than the sum of its proper divisors (367202098746).

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

311313210102 is a wasteful number, since it uses less digits than its factorization.

311313210102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67405 (or 67402 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 311313210102 its reverse (201012313113), we get a palindrome (512325523215).

The spelling of 311313210102 in words is "three hundred eleven billion, three hundred thirteen million, two hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1361 1737 2722 3474 4083 8166 12249 24498 65843 131686 197529 262673 395058 525346 592587 788019 1185174 1576038 2364057 4728114 12707699 25415398 38123097 76246194 89612323 114369291 179224646 228738582 268836969 537673938 806510907 1613021814 17295178339 34590356678 51885535017 103771070034 155656605051 311313210102