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1002020001220 = 225721022469389
BaseRepresentation
bin11101001010011010000…
…10111101010111000100
310112210101111102010020001
432211031002331113010
5112404114110014340
62044153250051044
7132251663323300
oct16451502752704
93483344363201
101002020001220
11356a55193797
12142246579a84
137364a926a34
14366d882ad00
151b0e8c7a29a
hexe94d0bd5c4

1002020001220 has 36 divisors (see below), whose sum is σ = 2447791719660. Its totient is φ = 343549714368.

The previous prime is 1002020001179. The next prime is 1002020001271. The reversal of 1002020001220 is 221000202001.

1002020001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 774002291076 + 228017710144 = 879774^2 + 477512^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002020001197 and 1002020001206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511233715 + ... + 511235674.

It is an arithmetic number, because the mean of its divisors is an integer number (67994214435).

Almost surely, 21002020001220 is an apocalyptic number.

1002020001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002020001220 is an abundant number, since it is smaller than the sum of its proper divisors (1445771718440).

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

1002020001220 is a wasteful number, since it uses less digits than its factorization.

1002020001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022469412 (or 1022469403 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002020001220 its reverse (221000202001), we get a palindrome (1223020203221).

The spelling of 1002020001220 in words is "one trillion, two billion, twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1022469389 2044938778 4089877556 5112346945 7157285723 10224693890 14314571446 20449387780 28629142892 35786428615 50101000061 71572857230 100202000122 143145714460 200404000244 250505000305 501010000610 1002020001220