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10102222201220 = 2256146141179461
BaseRepresentation
bin1001001100000001101101…
…0111011010000110000100
31022202202121020100010001222
42103000123113122012010
52311003322340414340
633252521413335512
72061601324616462
oct223003327320604
938682536303058
1010102222201220
113245368082856
121171a65937598
13583835170916
1426cd43369832
15127bae2d28b5
hex9301b5da184

10102222201220 has 48 divisors (see below), whose sum is σ = 21563035512816. Its totient is φ = 3974536512000.

The previous prime is 10102222201219. The next prime is 10102222201237. The reversal of 10102222201220 is 2210222220101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7195688220484 + 2906533980736 = 2682478^2 + 1704856^2 .

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, 56202290 + ... + 56381750.

It is an arithmetic number, because the mean of its divisors is an integer number (449229906517).

Almost surely, 210102222201220 is an apocalyptic number.

10102222201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102222201220 is an abundant number, since it is smaller than the sum of its proper divisors (11460813311596).

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

10102222201220 is a wasteful number, since it uses less digits than its factorization.

10102222201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225672 (or 225670 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10102222201220 its reverse (2210222220101), we get a palindrome (12312444421321).

The spelling of 10102222201220 in words is "ten trillion, one hundred two billion, two hundred twenty-two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 46141 92282 179461 184564 230705 358922 461410 717844 897305 922820 1794610 2814601 3589220 5629202 10947121 11258404 14073005 21894242 28146010 43788484 54735605 56292020 109471210 218942420 8280510001 16561020002 33122040004 41402550005 82805100010 165610200020 505111110061 1010222220122 2020444440244 2525555550305 5051111100610 10102222201220