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221101100020 = 225173221201893
BaseRepresentation
bin1100110111101010100…
…1110000101111110100
3210010200220201122000101
43031322221300233310
512110303340200040
6245323351523444
721655043225023
oct3157251605764
9703626648011
10221101100020
118584a896a39
1236a26389584
1317b07b71388
14a9b67108ba
155b40be209a
hex337aa70bf4

221101100020 has 48 divisors (see below), whose sum is σ = 491779865808. Its totient is φ = 83211806720.

The previous prime is 221101099931. The next prime is 221101100041. The reversal of 221101100020 is 20001101122.

It can be written as a sum of positive squares in 8 ways, for example, as 648313444 + 220452786576 = 25462^2 + 469524^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994194 + ... + 1196086.

It is an arithmetic number, because the mean of its divisors is an integer number (10245413871).

Almost surely, 2221101100020 is an apocalyptic number.

221101100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101100020 is an abundant number, since it is smaller than the sum of its proper divisors (270678765788).

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

221101100020 is a wasteful number, since it uses less digits than its factorization.

221101100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205140 (or 205138 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221101100020 its reverse (20001101122), we get a palindrome (241102201142).

The spelling of 221101100020 in words is "two hundred twenty-one billion, one hundred one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3221 6442 12884 16105 32210 54757 64420 109514 201893 219028 273785 403786 547570 807572 1009465 1095140 2018930 3432181 4037860 6864362 13728724 17160905 34321810 68643620 650297353 1300594706 2601189412 3251486765 6502973530 11055055001 13005947060 22110110002 44220220004 55275275005 110550550010 221101100020