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1013555142225 = 325289428911801
BaseRepresentation
bin11101011111111001001…
…10000001111001010001
310120220011101210222220200
432233330212001321101
5113101230104022400
62053342032125413
7133140561363063
oct16577446017121
93526141728820
101013555142225
113609344aa97a
12144525696869
137476868b462
14370b07dd733
151b5717c4b00
hexebfc981e51

1013555142225 has 72 divisors (see below), whose sum is σ = 1836371136600. Its totient is φ = 534319104000.

The previous prime is 1013555142221. The next prime is 1013555142293. The reversal of 1013555142225 is 5222415553101.

1013555142225 is a `hidden beast` number, since 1 + 0 + 135 + 5 + 514 + 2 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 164501625744 + 849053516481 = 405588^2 + 921441^2 .

It is not a de Polignac number, because 1013555142225 - 22 = 1013555142221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1013555142225.

It is not an unprimeable number, because it can be changed into a prime (1013555142221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85881325 + ... + 85893125.

It is an arithmetic number, because the mean of its divisors is an integer number (25505154675).

Almost surely, 21013555142225 is an apocalyptic number.

1013555142225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1013555142225 is a deficient number, since it is larger than the sum of its proper divisors (822815994375).

1013555142225 is a wasteful number, since it uses less digits than its factorization.

1013555142225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16195 (or 16187 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 1013555142225 in words is "one trillion, thirteen billion, five hundred fifty-five million, one hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 225 267 445 801 1335 2225 4005 4289 6675 11801 12867 20025 21445 35403 38601 59005 64335 106209 107225 177015 193005 295025 321675 381721 531045 885075 965025 1050289 1145163 1908605 2655225 3150867 3435489 5251445 5725815 9452601 9543025 15754335 17177445 26257225 28629075 47263005 50614489 78771675 85887225 151843467 236315025 253072445 455530401 759217335 1265362225 2277652005 3796086675 4504689521 11388260025 13514068563 22523447605 40542205689 67570342815 112617238025 202711028445 337851714075 1013555142225