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22143201242100 = 22352272927046783
BaseRepresentation
bin1010000100011100111011…
…01001001110101111110100
32220101212110202201011222020
411002032131221032233310
510400243234004221400
6115032240214433140
74443536112011421
oct502163551165764
986355422634866
1022143201242100
117067973913594
1225976013627b0
13c481306c2093
14567a45568d48
15285edeb2b2a0
hex14239da4ebf4

22143201242100 has 72 divisors (see below), whose sum is σ = 64091141237760. Its totient is φ = 5902689703680.

The previous prime is 22143201242089. The next prime is 22143201242131. The reversal of 22143201242100 is 124210234122.

It is a super-2 number, since 2×221432012421002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 12704692 + ... + 14342091.

Almost surely, 222143201242100 is an apocalyptic number.

22143201242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22143201242100 is an abundant number, since it is smaller than the sum of its proper divisors (41947939995660).

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

22143201242100 is a wasteful number, since it uses less digits than its factorization.

22143201242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27049529 (or 27049522 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22143201242100 its reverse (124210234122), we get a palindrome (22267411476222).

The spelling of 22143201242100 in words is "twenty-two trillion, one hundred forty-three billion, two hundred one million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2729 5458 8187 10916 13645 16374 27290 32748 40935 54580 68225 81870 136450 163740 204675 272900 409350 818700 27046783 54093566 81140349 108187132 135233915 162280698 270467830 324561396 405701745 540935660 676169575 811403490 1352339150 1622806980 2028508725 2704678300 4057017450 8114034900 73810670807 147621341614 221432012421 295242683228 369053354035 442864024842 738106708070 885728049684 1107160062105 1476213416140 1845266770175 2214320124210 3690533540350 4428640248420 5535800310525 7381067080700 11071600621050 22143201242100