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221021120210120 = 235291282914851933
BaseRepresentation
bin110010010000010001111101…
…010110111010010011001000
31001222120102010212220211100122
4302100101331112322103020
5212432202223233210440
62102023411221322412
764361151254041166
oct6220217526722310
91058512125824318
10221021120210120
116447359239378a
1220957459b66408
1396432823219a9
143c8169d290236
151a843ee9317b5
hexc9047d5ba4c8

221021120210120 has 64 divisors (see below), whose sum is σ = 514485845694000. Its totient is φ = 85353221495808.

The previous prime is 221021120210119. The next prime is 221021120210153. The reversal of 221021120210120 is 21012021120122.

It can be written as a sum of positive squares in 8 ways, for example, as 99874159614436 + 121146960595684 = 9993706^2 + 11006678^2 .

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, 7455674 + ... + 22307606.

Almost surely, 2221021120210120 is an apocalyptic number.

221021120210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021120210120 is an abundant number, since it is smaller than the sum of its proper divisors (293464725483880).

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

221021120210120 is a wasteful number, since it uses less digits than its factorization.

221021120210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14864802 (or 14864798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221021120210120 its reverse (21012021120122), we get a palindrome (242033141330242).

The spelling of 221021120210120 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 12829 25658 51316 64145 102632 128290 256580 372041 513160 744082 1488164 1860205 2976328 3720410 7440820 14851933 14881640 29703866 59407732 74259665 118815464 148519330 297038660 430706057 594077320 861412114 1722824228 2153530285 3445648456 4307060570 8614121140 17228242280 190535448457 381070896914 762141793828 952677242285 1524283587656 1905354484570 3810708969140 5525528005253 7621417938280 11051056010506 22102112021012 27627640026265 44204224042024 55255280052530 110510560105060 221021120210120