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221010000001020 = 223253113948017149
BaseRepresentation
bin110010010000000111100110…
…100010101011011111111100
31001222112100102220021200020100
4302100013212202223133330
5212432011440000013040
62102014331540521100
764360305554603406
oct6220074642533774
91058470386250210
10221010000001020
11644698a631102a
12209552759b0190
1396421cc5291c9
143c80d2644bb76
151a83e9d549b30
hexc901e68ab7fc

221010000001020 has 72 divisors (see below), whose sum is σ = 672552617536800. Its totient is φ = 58746495162240.

The previous prime is 221010000000983. The next prime is 221010000001051. The reversal of 221010000001020 is 20100000010122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 221010000000993 and 221010000001011.

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, 1973952595 + ... + 1974064554.

It is an arithmetic number, because the mean of its divisors is an integer number (9341008576900).

Almost surely, 2221010000001020 is an apocalyptic number.

221010000001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010000001020 is an abundant number, since it is smaller than the sum of its proper divisors (451542617535780).

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

221010000001020 is a wasteful number, since it uses less digits than its factorization.

221010000001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948017475 (or 3948017470 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 221010000001020 its reverse (20100000010122), we get a palindrome (241110000011142).

The spelling of 221010000001020 in words is "two hundred twenty-one trillion, ten billion, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 622 933 1244 1555 1866 2799 3110 3732 4665 5598 6220 9330 11196 13995 18660 27990 55980 3948017149 7896034298 11844051447 15792068596 19740085745 23688102894 35532154341 39480171490 47376205788 59220257235 71064308682 78960342980 118440514470 142128617364 177660771705 236881028940 355321543410 710643086820 1227833333339 2455666666678 3683500000017 4911333333356 6139166666695 7367000000034 11050500000051 12278333333390 14734000000068 18417500000085 22101000000102 24556666666780 36835000000170 44202000000204 55252500000255 73670000000340 110505000000510 221010000001020