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1021202200220 = 22517283101310477
BaseRepresentation
bin11101101110001000110…
…01001111011010011100
310121121220100002210101212
432313010121033122130
5113212410230401340
62101044523123552
7133531225323566
oct16670431173234
93547810083355
101021202200220
113640a9023814
12145aba6735b8
13753b6a58247
14375d8272336
151b86cd04a65
hexedc464f69c

1021202200220 has 96 divisors (see below), whose sum is σ = 2281163871168. Its totient is φ = 382679396352.

The previous prime is 1021202200181. The next prime is 1021202200243. The reversal of 1021202200220 is 220022021201.

It is a junction number, because it is equal to n+sod(n) for n = 1021202200195 and 1021202200204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97465622 + ... + 97476098.

It is an arithmetic number, because the mean of its divisors is an integer number (23762123658).

Almost surely, 21021202200220 is an apocalyptic number.

1021202200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021202200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140581935584).

1021202200220 is an abundant number, since it is smaller than the sum of its proper divisors (1259961670948).

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

1021202200220 is a wasteful number, since it uses less digits than its factorization.

1021202200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11799 (or 11797 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1021202200220 its reverse (220022021201), we get a palindrome (1241224221421).

The spelling of 1021202200220 in words is "one trillion, twenty-one billion, two hundred two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 283 340 566 1013 1132 1415 2026 2830 4052 4811 5065 5660 9622 10130 10477 17221 19244 20260 20954 24055 34442 41908 48110 52385 68884 86105 96220 104770 172210 178109 209540 286679 344420 356218 573358 712436 890545 1146716 1433395 1781090 2866790 2964991 3562180 4873543 5733580 5929982 9747086 10613201 11859964 14824955 19494172 21226402 24367715 29649910 42452804 48735430 50404847 53066005 59299820 97470860 100809694 106132010 180424417 201619388 212264020 252024235 360848834 504048470 721697668 902122085 1008096940 1804244170 3003535883 3608488340 6007071766 12014143532 15017679415 30035358830 51060110011 60070717660 102120220022 204240440044 255300550055 510601100110 1021202200220