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20302313111106 = 23131725160999781
BaseRepresentation
bin1001001110111000000000…
…01010010011111001000010
32122212212211002220202022120
410213130000022103321002
510130113114124023411
6111102430501145110
74163536150043355
oct447340012237102
978785732822276
1020302313111106
11651818751aa04
12233a8836bb196
13b436663c8430
145028cc68229c
1525319a656106
hex127700293e42

20302313111106 has 64 divisors (see below), whose sum is σ = 46484761873536. Its totient is φ = 5855978880000.

The previous prime is 20302313111033. The next prime is 20302313111107. The reversal of 20302313111106 is 60111131320302.

It is a super-2 number, since 2×203023131111062 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20302313111107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30167065 + ... + 30832716.

It is an arithmetic number, because the mean of its divisors is an integer number (726324404274).

Almost surely, 220302313111106 is an apocalyptic number.

20302313111106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20302313111106 is an abundant number, since it is smaller than the sum of its proper divisors (26182448762430).

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

20302313111106 is a wasteful number, since it uses less digits than its factorization.

20302313111106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61000067.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 20302313111106 its reverse (60111131320302), we get a palindrome (80413444431408).

The spelling of 20302313111106 in words is "twenty trillion, three hundred two billion, three hundred thirteen million, one hundred eleven thousand, one hundred six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 251 442 502 663 753 1326 1506 3263 4267 6526 8534 9789 12801 19578 25602 55471 110942 166413 332826 60999781 121999562 182999343 365998686 792997153 1036996277 1585994306 2073992554 2378991459 3110988831 4757982918 6221977662 13480951601 15310945031 26961903202 30621890062 40442854803 45932835093 80885709606 91865670186 199042285403 260286065527 398084570806 520572131054 597126856209 780858196581 1194253712418 1561716393162 3383718851851 6767437703702 10151156555553 20302313111106