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1012013031104 = 2697285757059
BaseRepresentation
bin11101011101000001010…
…11010101111011000000
310120202011221001122010222
432232200223111323000
5113040100313443404
62052525023242212
7133054424555225
oct16564053257300
93522157048128
101012013031104
11360212a77a79
12144175149368
137458104377a
1436da5a9794c
151b4d120cdbe
hexeba0ad5ec0

1012013031104 has 56 divisors (see below), whose sum is σ = 2029662316080. Its totient is φ = 500605894656.

The previous prime is 1012013031031. The next prime is 1012013031121. The reversal of 1012013031104 is 4011303102101.

1012013031104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17707727 + ... + 17764785.

It is an arithmetic number, because the mean of its divisors is an integer number (36243969930).

Almost surely, 21012013031104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012013031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014831158040).

1012013031104 is an abundant number, since it is smaller than the sum of its proper divisors (1017649284976).

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

1012013031104 is an equidigital number, since it uses as much as digits as its factorization.

1012013031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60025 (or 60015 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1012013031104 its reverse (4011303102101), we get a palindrome (5023316133205).

The spelling of 1012013031104 in words is "one trillion, twelve billion, thirteen million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 2857 3104 5714 6208 11428 22856 45712 57059 91424 114118 182848 228236 277129 456472 554258 912944 1108516 1825888 2217032 3651776 4434064 5534723 8868128 11069446 17736256 22138892 44277784 88555568 163017563 177111136 326035126 354222272 652070252 1304140504 2608281008 5216562016 10433124032 15812703611 31625407222 63250814444 126501628888 253003257776 506006515552 1012013031104