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10011255015220 = 2252979492171441
BaseRepresentation
bin1001000110101110110101…
…0011001000011100110100
31022110001210120112021011221
42101223231103020130310
52303011022240441340
633143035043040124
72052201142400614
oct221535523103464
938401716467157
1010011255015220
11320a827510598
1211582b9070044
13578098b60244
14268793c22a44
151256380a744a
hex91aed4c8734

10011255015220 has 48 divisors (see below), whose sum is σ = 21751334514000. Its totient is φ = 3865927546880.

The previous prime is 10011255015211. The next prime is 10011255015221. The reversal of 10011255015220 is 2251055211001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1582533808144 + 8428721207076 = 1257988^2 + 2903226^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011255015221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3524700 + ... + 5696140.

It is an arithmetic number, because the mean of its divisors is an integer number (453152802375).

Almost surely, 210011255015220 is an apocalyptic number.

10011255015220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011255015220 is an abundant number, since it is smaller than the sum of its proper divisors (11740079498780).

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

10011255015220 is a wasteful number, since it uses less digits than its factorization.

10011255015220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179428 (or 2179426 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 25.

The spelling of 10011255015220 in words is "ten trillion, eleven billion, two hundred fifty-five million, fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 7949 15898 31796 39745 79490 158980 230521 461042 922084 1152605 2171441 2305210 4342882 4610420 8685764 10857205 21714410 43428820 62971789 125943578 251887156 314858945 629717890 1259435780 17260784509 34521569018 69043138036 86303922545 172607845090 345215690180 500562750761 1001125501522 2002251003044 2502813753805 5005627507610 10011255015220