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10002002101220 = 22529123291398721
BaseRepresentation
bin1001000110001100010111…
…0010000100001111100100
31022102011220201112112101102
42101203011302010033210
52302333100014214340
633134504545015232
72051422636050143
oct221430562041744
938364821475342
1010002002101220
113206909486328
121156556324518
13577252b8a0bc
14268156db375a
15125295abd215
hex918c5c843e4

10002002101220 has 48 divisors (see below), whose sum is σ = 21730265247600. Its totient is φ = 3862526115840.

The previous prime is 10002002101207. The next prime is 10002002101291. The reversal of 10002002101220 is 2210120020001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4745400419236 + 5256601681984 = 2178394^2 + 2292728^2 .

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, 6451460 + ... + 7850180.

It is an arithmetic number, because the mean of its divisors is an integer number (452713859325).

Almost surely, 210002002101220 is an apocalyptic number.

10002002101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002002101220 is an abundant number, since it is smaller than the sum of its proper divisors (11728263146380).

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

10002002101220 is a wasteful number, since it uses less digits than its factorization.

10002002101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411088 (or 1411086 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10002002101220 its reverse (2210120020001), we get a palindrome (12212122121221).

The spelling of 10002002101220 in words is "ten trillion, two billion, two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 12329 24658 49316 61645 123290 246580 357541 715082 1398721 1430164 1787705 2797442 3575410 5594884 6993605 7150820 13987210 27974420 40562909 81125818 162251636 202814545 405629090 811258180 17244831209 34489662418 68979324836 86224156045 172448312090 344896624180 500100105061 1000200210122 2000400420244 2500500525305 5001001050610 10002002101220