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1100222202020 = 2251730493106121
BaseRepresentation
bin10000000000101010010…
…110101000000010100100
310220011212101011210121012
4100000222112220002210
5121011223340431040
62201233552041352
7142326350261564
oct20005226500244
93804771153535
101100222202020
11394668828727
12159292233258
137c99ab37066
143b372bc8da4
151d945243865
hex1002a5a80a4

1100222202020 has 48 divisors (see below), whose sum is σ = 2446479706608. Its totient is φ = 414183813120.

The previous prime is 1100222202017. The next prime is 1100222202031. The reversal of 1100222202020 is 202022220011.

It can be written as a sum of positive squares in 8 ways, for example, as 223981156 + 1099998220864 = 14966^2 + 1048808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1100222201986 and 1100222202004.

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, 10314560 + ... + 10420680.

It is an arithmetic number, because the mean of its divisors is an integer number (50968327221).

Almost surely, 21100222202020 is an apocalyptic number.

1100222202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100222202020 is an abundant number, since it is smaller than the sum of its proper divisors (1346257504588).

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

1100222202020 is a wasteful number, since it uses less digits than its factorization.

1100222202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136640 (or 136638 counting only the distinct ones).

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

Adding to 1100222202020 its reverse (202022220011), we get a palindrome (1302244422031).

The spelling of 1100222202020 in words is "one trillion, one hundred billion, two hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 30493 60986 106121 121972 152465 212242 304930 424484 518381 530605 609860 1036762 1061210 1804057 2073524 2122420 2591905 3608114 5183810 7216228 9020285 10367620 18040570 36081140 3235947653 6471895306 12943790612 16179738265 32359476530 55011110101 64718953060 110022220202 220044440404 275055550505 550111101010 1100222202020