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20312211221302 = 27111331794142899
BaseRepresentation
bin1001001111001010011100…
…01000100110101100110110
32122220211100220221211220111
410213211032020212230312
510130243402033040202
6111111145004053234
74164336346432450
oct447451610465466
978824326854814
1020312211221302
1165213a6772670
12234078653421a
13b44582c5cb80
1450318b0812d0
152535795d96d7
hex12794e226b36

20312211221302 has 128 divisors (see below), whose sum is σ = 42762682368000. Its totient is φ = 6979954550400.

The previous prime is 20312211221293. The next prime is 20312211221399.

20312211221302 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2831449 + ... + 6974347.

It is an arithmetic number, because the mean of its divisors is an integer number (334083456000).

Almost surely, 220312211221302 is an apocalyptic number.

20312211221302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20312211221302 is an abundant number, since it is smaller than the sum of its proper divisors (22450471146698).

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

20312211221302 is a wasteful number, since it uses less digits than its factorization.

20312211221302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143042.

The product of its (nonzero) digits is 576, while the sum is 22.

Multiplying 20312211221302 by its sum of digits (22), we get a palindrome (446868646868644).

It can be divided in two parts, 2031221 and 1221302, that added together give a palindrome (3252523).

The spelling of 20312211221302 in words is "twenty trillion, three hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, three hundred two".

Divisors: 1 2 7 11 13 14 22 26 31 62 77 79 91 143 154 158 182 217 286 341 403 434 553 682 806 869 1001 1027 1106 1738 2002 2054 2387 2449 2821 4433 4774 4898 5642 6083 7189 8866 11297 12166 14378 17143 22594 26939 31031 31837 34286 53878 62062 63674 79079 158158 188573 222859 350207 377146 445718 700414 2451449 4142899 4902898 8285798 29000293 45571889 53857687 58000586 91143778 107715374 128429869 256859738 319003223 327289021 377003809 592434557 638006446 654578042 754007618 899009083 1184869114 1412728559 1669588297 1798018166 2291023147 2825457118 3339176594 3600179231 4147041899 4254757273 4582046294 7200358462 8294083798 8509514546 9889099913 10145959651 11687118079 18365471267 19778199826 20291919302 23374236158 25201254617 29783300911 36730942534 46802330003 50402509234 59566601822 71021717557 93604660006 111605556161 128558298869 131897475463 142043435114 223211112322 257116597738 263794950926 327616310021 655232620042 781238893127 923282328241 1450872230093 1562477786254 1846564656482 2901744460186 10156105610651 20312211221302