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222121002100100 = 225219563332075263
BaseRepresentation
bin110010100000010010010011…
…011011010110010110000100
31002010110120010112201222121012
4302200102103123112112010
5213103212303014200400
62104224551335341352
764533466332615515
oct6240222333262604
91063416115658535
10222121002100100
1164857a96003994
1220ab4656221858
1396c2bc77b537c
143cbc9dcbb0a0c
151aa2d24d51d35
hexca04936d6584

222121002100100 has 72 divisors (see below), whose sum is σ = 507380382243840. Its totient is φ = 84170634468480.

The previous prime is 222121002100079. The next prime is 222121002100103. The reversal of 222121002100100 is 1001200121222.

It is a super-2 number, since 2×2221210021001002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222121002100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105995069 + ... + 108070331.

Almost surely, 2222121002100100 is an apocalyptic number.

222121002100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222121002100100 is an abundant number, since it is smaller than the sum of its proper divisors (285259380143740).

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

222121002100100 is a wasteful number, since it uses less digits than its factorization.

222121002100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131629 (or 2131622 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222121002100100 its reverse (1001200121222), we get a palindrome (223122202221322).

The spelling of 222121002100100 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 56333 112666 225332 281665 563330 1070327 1126660 1408325 2075263 2140654 2816650 4150526 4281308 5351635 5633300 8301052 10376315 10703270 20752630 21406540 26758175 39429997 41505260 51881575 53516350 78859994 103763150 107032700 157719988 197149985 207526300 394299970 788599940 985749925 1971499850 3942999700 116905790579 233811581158 467623162316 584528952895 1169057905790 2221210021001 2338115811580 2922644764475 4442420042002 5845289528950 8884840084004 11106050105005 11690579057900 22212100210010 44424200420020 55530250525025 111060501050050 222121002100100