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313112020220013 = 37172617111912267
BaseRepresentation
bin100011100110001100001001…
…0101111010111100001101101
31112001122012212001020220101010
41013030120102233113201231
5312020011404134020023
63025533402030535433
7122644411515430260
oct10714302257274155
91461565761226333
10313112020220013
1190849075667543
122b14b25a067579
131059344bc93a91
1457469ba080cd7
15262eb67647093
hex11cc612bd786d

313112020220013 has 96 divisors (see below), whose sum is σ = 522404603394048. Its totient is φ = 163302872140800.

The previous prime is 313112020219967. The next prime is 313112020220017. The reversal of 313112020220013 is 310022020211313.

It is not a de Polignac number, because 313112020220013 - 220 = 313112019171437 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 (313112020220017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20328706 + ... + 32240972.

It is an arithmetic number, because the mean of its divisors is an integer number (5441714618688).

Almost surely, 2313112020220013 is an apocalyptic number.

It is an amenable number.

313112020220013 is a deficient number, since it is larger than the sum of its proper divisors (209292583174035).

313112020220013 is a wasteful number, since it uses less digits than its factorization.

313112020220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11912443 (or 11912426 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 313112020220013 its reverse (310022020211313), we get a palindrome (623134040431326).

The spelling of 313112020220013 in words is "three hundred thirteen trillion, one hundred twelve billion, twenty million, two hundred twenty thousand, thirteen".

Divisors: 1 3 7 17 21 51 61 71 119 183 213 289 357 427 497 867 1037 1207 1281 1491 2023 3111 3621 4331 6069 7259 8449 12993 17629 20519 21777 25347 30317 52887 61557 73627 90951 123403 143633 220881 370209 430899 515389 1251659 1546167 3754977 8761613 11912267 26284839 35736801 83385869 202508539 250157607 607525617 726648287 845770957 1417559773 2179944861 2537312871 3442645163 4252679319 5086538009 5920396699 10327935489 12353020879 14378106269 15259614027 17761190097 24098516141 37059062637 43134318807 51592028377 72295548423 86471146153 100646743883 154776085131 210001354943 244427806573 259413438459 301940231649 361144198639 630004064829 733283419719 877064482409 1083432595917 1470009484601 1710994646011 2631193447227 4410028453803 5132983938033 6139451376863 14910096200953 18418354130589 44730288602859 104370673406671 313112020220013