Search a number
-
+
21012331100100 = 22352347201847561
BaseRepresentation
bin1001100011100010100001…
…00001111111011111000100
32202101202111111000201102220
410301301100201333133010
510223231223230200400
6112404533122532340
74266043103264034
oct461612041773704
982352444021386
1021012331100100
11677130912aa4a
1224343b72070b0
13b955ba1b07c2
1452900626d8c4
152668a3e717a0
hex131c5087f7c4

21012331100100 has 72 divisors (see below), whose sum is σ = 60970881967968. Its totient is φ = 5587140460800.

The previous prime is 21012331100023. The next prime is 21012331100113. The reversal of 21012331100100 is 100113321012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21012331100100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100819681 + ... + 101027880.

Almost surely, 221012331100100 is an apocalyptic number.

21012331100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012331100100 is an abundant number, since it is smaller than the sum of its proper divisors (39958550867868).

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

21012331100100 is a wasteful number, since it uses less digits than its factorization.

21012331100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201847925 (or 201847918 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21012331100100 its reverse (100113321012), we get a palindrome (21112444421112).

The spelling of 21012331100100 in words is "twenty-one trillion, twelve billion, three hundred thirty-one million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 347 694 1041 1388 1735 2082 3470 4164 5205 6940 8675 10410 17350 20820 26025 34700 52050 104100 201847561 403695122 605542683 807390244 1009237805 1211085366 2018475610 2422170732 3027713415 4036951220 5046189025 6055426830 10092378050 12110853660 15138567075 20184756100 30277134150 60554268300 70041103667 140082207334 210123311001 280164414668 350205518335 420246622002 700411036670 840493244004 1050616555005 1400822073340 1751027591675 2101233110010 3502055183350 4202466220020 5253082775025 7004110366700 10506165550050 21012331100100