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1013142103040 = 2105197879317
BaseRepresentation
bin11101011111000111111…
…10011010010000000000
310120212002121121102200002
432233203332122100000
5113044403334244130
62053233035215132
7133124414533154
oct16574376322000
93525077542602
101013142103040
11360742339481
1214442b2a74a8
1374700c32b82
1437071a03064
151b54a3d7b45
hexebe3f9a400

1013142103040 has 44 divisors (see below), whose sum is σ = 2430353783676. Its totient is φ = 405256839168.

The previous prime is 1013142103033. The next prime is 1013142103079. The reversal of 1013142103040 is 403012413101.

1013142103040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 452057211904 + 561084891136 = 672352^2 + 749056^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98934539 + ... + 98944778.

Almost surely, 21013142103040 is an apocalyptic number.

1013142103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013142103040 is an abundant number, since it is smaller than the sum of its proper divisors (1417211680636).

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

1013142103040 is an equidigital number, since it uses as much as digits as its factorization.

1013142103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197879342 (or 197879324 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1013142103040 its reverse (403012413101), we get a palindrome (1416154516141).

The spelling of 1013142103040 in words is "one trillion, thirteen billion, one hundred forty-two million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 197879317 395758634 791517268 989396585 1583034536 1978793170 3166069072 3957586340 6332138144 7915172680 12664276288 15830345360 25328552576 31660690720 50657105152 63321381440 101314210304 126642762880 202628420608 253285525760 506571051520 1013142103040