Search a number
-
+
22100210122000 = 245311050105061
BaseRepresentation
bin1010000011001100110110…
…01011000111110100010000
32220020202111122100000001211
411001212123023013310100
510344042212242401000
6115000410225505504
74440454544351023
oct501463313076420
986222448300054
1022100210122000
11705071250a76a
12258b2037a2294
13c4406ba4708a
14565927a271ba
15284d257567ba
hex14199b2c7d10

22100210122000 has 40 divisors (see below), whose sum is σ = 53438308079832. Its totient is φ = 8840084048000.

The previous prime is 22100210121931. The next prime is 22100210122021. The reversal of 22100210122000 is 22101200122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3232688929024 + 18867521192976 = 1797968^2 + 4343676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5525050531 + ... + 5525054530.

Almost surely, 222100210122000 is an apocalyptic number.

22100210122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100210122000 is an abundant number, since it is smaller than the sum of its proper divisors (31338097957832).

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

22100210122000 is a wasteful number, since it uses less digits than its factorization.

22100210122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11050105084 (or 11050105068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22100210122000 its reverse (22101200122), we get a palindrome (22122311322122).

The spelling of 22100210122000 in words is "twenty-two trillion, one hundred billion, two hundred ten million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11050105061 22100210122 44200420244 55250525305 88400840488 110501050610 176801680976 221002101220 276252626525 442004202440 552505253050 884008404880 1105010506100 1381263132625 2210021012200 2762526265250 4420042024400 5525052530500 11050105061000 22100210122000