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313211022020 = 225134129381897
BaseRepresentation
bin1001000111011001101…
…01001110101011000100
31002221110012210110222222
410203230311032223010
520112424010201040
6355515343111512
731425442521461
oct4435465165304
91087405713888
10313211022020
11110917502716
12508518a2598
13236c6b466c0
141123391c668
1582323e5bb5
hex48ecd4eac4

313211022020 has 48 divisors (see below), whose sum is σ = 725615353008. Its totient is φ = 112826480640.

The previous prime is 313211021969. The next prime is 313211022079. The reversal of 313211022020 is 20220112313.

It can be written as a sum of positive squares in 8 ways, for example, as 11924203204 + 301286818816 = 109198^2 + 548896^2 .

It is a super-2 number, since 2×3132110220202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313211022020.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14680289 + ... + 14701608.

It is an arithmetic number, because the mean of its divisors is an integer number (15116986521).

Almost surely, 2313211022020 is an apocalyptic number.

It is an amenable number.

313211022020 is an abundant number, since it is smaller than the sum of its proper divisors (412404330988).

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

313211022020 is a wasteful number, since it uses less digits than its factorization.

313211022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29381960 (or 29381958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 313211022020 its reverse (20220112313), we get a palindrome (333431134333).

The spelling of 313211022020 in words is "three hundred thirteen billion, two hundred eleven million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 29381897 58763794 117527588 146909485 293818970 381964661 587637940 763929322 1204657777 1527858644 1909823305 2409315554 3819646610 4818631108 6023288885 7639293220 12046577770 15660551101 24093155540 31321102202 62642204404 78302755505 156605511010 313211022020