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21125131245040 = 2451759925931861
BaseRepresentation
bin1001100110110100100111…
…11100011001010111110000
32202210112122201101210112211
410303122103330121113300
510232103232044320130
6112532430141301504
74310145305555254
oct463322374312760
982715581353484
1021125131245040
116805132947429
122452237864894
13ba31258588b4
145306672b4264
152697a6cd1a2a
hex133693f195f0

21125131245040 has 80 divisors (see below), whose sum is σ = 52091924385600. Its totient is φ = 7939713167360.

The previous prime is 21125131244969. The next prime is 21125131245041. The reversal of 21125131245040 is 4054213152112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21125131244993 and 21125131245011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21125131245041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12151291 + ... + 13780570.

It is an arithmetic number, because the mean of its divisors is an integer number (651149054820).

Almost surely, 221125131245040 is an apocalyptic number.

21125131245040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21125131245040 is an abundant number, since it is smaller than the sum of its proper divisors (30966793140560).

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

21125131245040 is a wasteful number, since it uses less digits than its factorization.

21125131245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25932490 (or 25932484 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 21125131245040 its reverse (4054213152112), we get a palindrome (25179344397152).

The spelling of 21125131245040 in words is "twenty-one trillion, one hundred twenty-five billion, one hundred thirty-one million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 599 680 1198 1360 2396 2995 4792 5990 9584 10183 11980 20366 23960 40732 47920 50915 81464 101830 162928 203660 407320 814640 25931861 51863722 103727444 129659305 207454888 259318610 414909776 440841637 518637220 881683274 1037274440 1763366548 2074548880 2204208185 3526733096 4408416370 7053466192 8816832740 15533184739 17633665480 31066369478 35267330960 62132738956 77665923695 124265477912 155331847390 248530955824 264064140563 310663694780 528128281126 621327389560 1056256562252 1242654779120 1320320702815 2112513124504 2640641405630 4225026249008 5281282811260 10562565622520 21125131245040