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2200202102020 = 2251317497783281
BaseRepresentation
bin100000000001000110010…
…000111100010100000100
321210100002212102101022111
4200001012100330110010
5242022003214231040
64402431530510404
7314650026202546
oct40010620742404
97710085371274
102200202102020
1177911180024a
122b64b7295404
1312c62a6c5530
14786c173d696
153c374073dea
hex2004643c504

2200202102020 has 48 divisors (see below), whose sum is σ = 5268538256688. Its totient is φ = 764595118080.

The previous prime is 2200202101987. The next prime is 2200202102047. The reversal of 2200202102020 is 202012020022.

It can be written as a sum of positive squares in 8 ways, for example, as 218059113024 + 1982142988996 = 466968^2 + 1407886^2 .

It is a super-3 number, since 3×22002021020203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 248887221 + ... + 248896060.

It is an arithmetic number, because the mean of its divisors is an integer number (109761213681).

Almost surely, 22200202102020 is an apocalyptic number.

2200202102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200202102020 is an abundant number, since it is smaller than the sum of its proper divisors (3068336154668).

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

2200202102020 is a wasteful number, since it uses less digits than its factorization.

2200202102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497783320 (or 497783318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2200202102020 its reverse (202012020022), we get a palindrome (2402214122042).

The spelling of 2200202102020 in words is "two trillion, two hundred billion, two hundred two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 497783281 995566562 1991133124 2488916405 4977832810 6471182653 8462315777 9955665620 12942365306 16924631554 25884730612 32355913265 33849263108 42311578885 64711826530 84623157770 110010105101 129423653060 169246315540 220020210202 440040420404 550050525505 1100101051010 2200202102020