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20013300113140 = 22523337352936583
BaseRepresentation
bin1001000110011101101011…
…01001001101111011110100
32121212020211021222020221201
410203032311221031323310
510110344214312110030
6110321552205422244
74133625143066635
oct443166551157364
977766737866851
1020013300113140
116416658193984
1222b286586a984
13b223278c2b79
144d29127c988c
1524a8d281a2ca
hex1233b5a4def4

20013300113140 has 96 divisors (see below), whose sum is σ = 43999032430080. Its totient is φ = 7632168800256.

The previous prime is 20013300113089. The next prime is 20013300113143. The reversal of 20013300113140 is 4131100331002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20013300113143) 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, 547047289 + ... + 547083871.

It is an arithmetic number, because the mean of its divisors is an integer number (458323254480).

Almost surely, 220013300113140 is an apocalyptic number.

20013300113140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20013300113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21999516215040).

20013300113140 is an abundant number, since it is smaller than the sum of its proper divisors (23985732316940).

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

20013300113140 is a wasteful number, since it uses less digits than its factorization.

20013300113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40481 (or 40479 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 20013300113140 its reverse (4131100331002), we get a palindrome (24144400444142).

The spelling of 20013300113140 in words is "twenty trillion, thirteen billion, three hundred million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 337 460 674 1348 1685 3370 3529 6740 7058 7751 14116 15502 17645 31004 35290 36583 38755 70580 73166 77510 81167 146332 155020 162334 182915 324668 365830 405835 731660 811670 841409 1189273 1623340 1682818 2378546 3365636 4207045 4757092 5946365 8414090 11892730 12328471 16828180 23785460 24656942 27353279 49313884 54706558 61642355 109413116 123284710 129101407 136766395 246569420 258202814 273532790 283554833 516405628 547065580 567109666 645507035 1134219332 1291014070 1417774165 2582028140 2835548330 2969332361 5671096660 5938664722 11877329444 14846661805 29693323610 43507174159 59386647220 87014348318 174028696636 217535870795 435071741590 870143483180 1000665005657 2001330011314 4002660022628 5003325028285 10006650056570 20013300113140