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1002020000202 = 232135172182793
BaseRepresentation
bin11101001010011010000…
…10111101000111001010
310112210101111102001211100
432211031002331013022
5112404114110001302
62044153250042230
7132251663320314
oct16451502750712
93483344361740
101002020000202
11356a55192a51
12142246579376
137364a926430
14366d882a7b4
151b0e8c79d1c
hexe94d0bd1ca

1002020000202 has 48 divisors (see below), whose sum is σ = 2338120112328. Its totient is φ = 308304161280.

The previous prime is 1002020000173. The next prime is 1002020000207. The reversal of 1002020000202 is 2020000202001.

1002020000202 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 642836736441 + 359183263761 = 801771^2 + 599319^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1002020000207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12061318 + ... + 12144110.

Almost surely, 21002020000202 is an apocalyptic number.

1002020000202 is an abundant number, since it is smaller than the sum of its proper divisors (1336100112126).

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

1002020000202 is a wasteful number, since it uses less digits than its factorization.

1002020000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134535 (or 134532 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 1002020000202 its reverse (2020000202001), we get a palindrome (3022020202203).

The spelling of 1002020000202 in words is "one trillion, two billion, twenty million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 51721 82793 103442 155163 165586 248379 310326 465489 496758 672373 745137 930978 1076309 1344746 1490274 2017119 2152618 3228927 4034238 6051357 6457854 9686781 12102714 19373562 4282136753 8564273506 12846410259 25692820518 38539230777 55667777789 77078461554 111335555578 167003333367 334006666734 501010000101 1002020000202