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21131111230400 = 265276231173249
BaseRepresentation
bin1001100110111111110000…
…11000001110101111000000
32202211010002110210112022002
410303133320120032233000
510232203003433333100
6112535255401203132
74310446430604023
oct463377030165700
982733073715262
1021131111230400
116807721447996
1224534264904a8
13ba3869737682
14530a735931ba
15269a06cb42d5
hex1337f860ebc0

21131111230400 has 84 divisors (see below), whose sum is σ = 51996722778000. Its totient is φ = 8452284825600.

The previous prime is 21131111230387. The next prime is 21131111230429. The reversal of 21131111230400 is 403211113112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121882976 + ... + 122056224.

It is an arithmetic number, because the mean of its divisors is an integer number (619008604500).

Almost surely, 221131111230400 is an apocalyptic number.

21131111230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21131111230400 is an abundant number, since it is smaller than the sum of its proper divisors (30865611547600).

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

21131111230400 is a wasteful number, since it uses less digits than its factorization.

21131111230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249502 (or 249487 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 21131111230400 its reverse (403211113112), we get a palindrome (21534322343512).

The spelling of 21131111230400 in words is "twenty-one trillion, one hundred thirty-one billion, one hundred eleven million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 76231 152462 173249 304924 346498 381155 609848 692996 762310 866245 1219696 1385992 1524620 1732490 1905775 2439392 2771984 3049240 3464980 3811550 4331225 4878784 5543968 6098480 6929960 7623100 8662450 11087936 12196960 13859920 15246200 17324900 24393920 27719840 30492400 34649800 55439680 60984800 69299600 121969600 138599200 277198400 13206944519 26413889038 52827778076 66034722595 105655556152 132069445190 211311112304 264138890380 330173612975 422622224608 528277780760 660347225950 845244449216 1056555561520 1320694451900 2113111123040 2641388903800 4226222246080 5282777807600 10565555615200 21131111230400