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1013103644432 = 241121094800893
BaseRepresentation
bin11101011111000011010…
…11101100111100010000
310120211222221020112101012
432233201223230330100
5113044314013110212
62053225143030052
7133123436615015
oct16574153547420
93524887215335
101013103644432
11360722660a00
1214441a43b328
13746c5c88ab9
143706a87170c
151b546d3c922
hexebe1aecf10

1013103644432 has 60 divisors (see below), whose sum is σ = 2177349455820. Its totient is φ = 456276775680.

The previous prime is 1013103644431. The next prime is 1013103644461. The reversal of 1013103644432 is 2344463013101.

It can be written as a sum of positive squares in 2 ways, for example, as 744037355776 + 269066288656 = 862576^2 + 518716^2 .

It is a super-2 number, since 2×10131036444322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013103644431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2189423 + ... + 2611470.

It is an arithmetic number, because the mean of its divisors is an integer number (36289157597).

Almost surely, 21013103644432 is an apocalyptic number.

It is an amenable number.

1013103644432 is an abundant number, since it is smaller than the sum of its proper divisors (1164245811388).

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

1013103644432 is a wasteful number, since it uses less digits than its factorization.

1013103644432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801032 (or 4801015 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 1013103644432 its reverse (2344463013101), we get a palindrome (3357566657533).

The spelling of 1013103644432 in words is "one trillion, thirteen billion, one hundred three million, six hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 109 121 176 218 242 436 484 872 968 1199 1744 1936 2398 4796 9592 13189 19184 26378 52756 105512 211024 4800893 9601786 19203572 38407144 52809823 76814288 105619646 211239292 422478584 523297337 580908053 844957168 1046594674 1161816106 2093189348 2323632212 4186378696 4647264424 5756270707 8372757392 9294528848 11512541414 23025082828 46050165656 63318977777 92100331312 126637955554 253275911108 506551822216 1013103644432