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10002001220 = 225871357397
BaseRepresentation
bin10010101000010101…
…00110110101000100
3221211001112022021122
421110022212311010
5130441003014340
64332253333112
7502600415261
oct112412466504
927731468248
1010002001220
114272961612
121b31797198
13c3523b323
146ac524268
153d8155db5
hex2542a6d44

10002001220 has 24 divisors (see below), whose sum is σ = 21006979224. Its totient is φ = 4000271616.

The previous prime is 10002001181. The next prime is 10002001253. The reversal of 10002001220 is 2210020001.

It can be written as a sum of positive squares in 4 ways, for example, as 1108756804 + 8893244416 = 33298^2 + 94304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10002001198 and 10002001207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145562 + ... + 202958.

It is an arithmetic number, because the mean of its divisors is an integer number (875290801).

Almost surely, 210002001220 is an apocalyptic number.

10002001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002001220 is an abundant number, since it is smaller than the sum of its proper divisors (11004978004).

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

10002001220 is a wasteful number, since it uses less digits than its factorization.

10002001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66119 (or 66117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10002001220 its reverse (2210020001), we get a palindrome (12212021221).

The spelling of 10002001220 in words is "ten billion, two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 8713 17426 34852 43565 57397 87130 114794 174260 229588 286985 573970 1147940 500100061 1000200122 2000400244 2500500305 5001000610 10002001220