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21301013131110 = 232510122910232951
BaseRepresentation
bin1001101011111100001110…
…10100100010111101100110
32210102100122020012100111100
410311332013110202331212
510242443433330143420
6113145314512420530
74325642651124306
oct465760724427546
983370566170440
1021301013131110
116872788661669
122480342247746
13bb68a526512b
14538d901b1606
1526e14cbd3190
hex135f87522f66

21301013131110 has 96 divisors (see below), whose sum is σ = 56175222617280. Its totient is φ = 5599470240000.

The previous prime is 21301013131039. The next prime is 21301013131147. The reversal of 21301013131110 is 1113131010312.

21301013131110 is a `hidden beast` number, since 21 + 301 + 0 + 1 + 31 + 311 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3034866 + ... + 7198085.

It is an arithmetic number, because the mean of its divisors is an integer number (585158568930).

Almost surely, 221301013131110 is an apocalyptic number.

21301013131110 is an abundant number, since it is smaller than the sum of its proper divisors (34874209486170).

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

21301013131110 is a wasteful number, since it uses less digits than its factorization.

21301013131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233294 (or 10233291 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 21301013131110 its reverse (1113131010312), we get a palindrome (22414144141422).

The spelling of 21301013131110 in words is "twenty-one trillion, three hundred one billion, thirteen million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 229 303 458 505 606 687 909 1010 1145 1374 1515 1818 2061 2290 3030 3435 4122 4545 6870 9090 10305 20610 23129 46258 69387 115645 138774 208161 231290 346935 416322 693870 1040805 2081610 10232951 20465902 30698853 51164755 61397706 92096559 102329510 153494265 184193118 306988530 460482795 920965590 1033528051 2067056102 2343345779 3100584153 4686691558 5167640255 6201168306 7030037337 9301752459 10335280510 11716728895 14060074674 15502920765 18603504918 21090112011 23433457790 31005841530 35150186685 42180224022 46508762295 70300373370 93017524590 105450560055 210901120110 236677923679 473355847358 710033771037 1183389618395 1420067542074 2130101313111 2366779236790 3550168855185 4260202626222 7100337710370 10650506565555 21301013131110