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1002102201220 = 225241207905021
BaseRepresentation
bin11101001010100011111…
…00100001101110000100
310112210121020002022102111
432211101330201232010
5112404301130414340
62044205343550404
7132254012111401
oct16452174415604
93483536068374
101002102201220
11356a9762787a
12142269bbb404
13736619775a3
14367057072a8
151b1010b5aea
hexe951f21b84

1002102201220 has 24 divisors (see below), whose sum is σ = 2113146643608. Its totient is φ = 399177638400.

The previous prime is 1002102201209. The next prime is 1002102201227. The reversal of 1002102201220 is 221022012001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4568678464 + 997533522756 = 67592^2 + 998766^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1002102201220.

It is not an unprimeable number, because it can be changed into a prime (1002102201227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103947691 + ... + 103957330.

It is an arithmetic number, because the mean of its divisors is an integer number (88047776817).

Almost surely, 21002102201220 is an apocalyptic number.

1002102201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002102201220 is an abundant number, since it is smaller than the sum of its proper divisors (1111044442388).

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

1002102201220 is a wasteful number, since it uses less digits than its factorization.

1002102201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207905271 (or 207905269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002102201220 its reverse (221022012001), we get a palindrome (1223124213221).

The spelling of 1002102201220 in words is "one trillion, two billion, one hundred two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 241 482 964 1205 2410 4820 207905021 415810042 831620084 1039525105 2079050210 4158100420 50105110061 100210220122 200420440244 250525550305 501051100610 1002102201220