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1013002200012 = 22311411201155851
BaseRepresentation
bin11101011110110111010…
…00101110001111001100
310120211201212100121210110
432233123220232033030
5113044112030400022
62053211120440020
7133121065425465
oct16573350561714
93524655317713
101013002200012
11360680373240
121443b0479010
13746aac5aa0a
143705b1c5d6c
151b53cea000c
hexebdba2e3cc

1013002200012 has 96 divisors (see below), whose sum is σ = 2643658875648. Its totient is φ = 299232000000.

The previous prime is 1013002199977. The next prime is 1013002200037. The reversal of 1013002200012 is 2100022003101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6421887 + ... + 6577737.

It is an arithmetic number, because the mean of its divisors is an integer number (27538113288).

Almost surely, 21013002200012 is an apocalyptic number.

1013002200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013002200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321829437824).

1013002200012 is an abundant number, since it is smaller than the sum of its proper divisors (1630656675636).

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

1013002200012 is a wasteful number, since it uses less digits than its factorization.

1013002200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157111 (or 157109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1013002200012 its reverse (2100022003101), we get a palindrome (3113024203113).

The spelling of 1013002200012 in words is "one trillion, thirteen billion, two million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1201 1353 1804 2402 2706 3603 4804 5412 7206 13211 14412 26422 39633 49241 52844 79266 98482 147723 155851 158532 196964 295446 311702 467553 541651 590892 623404 935106 1083302 1624953 1714361 1870212 2166604 3249906 3428722 5143083 6389891 6499812 6857444 10286166 12779782 19169673 20572332 25559564 38339346 70288801 76678692 140577602 187177051 210866403 281155204 374354102 421732806 561531153 748708204 843465612 1123062306 2058947561 2246124612 4117895122 6176842683 7674259091 8235790244 12353685366 15348518182 23022777273 24707370732 30697036364 46045554546 84416850001 92091109092 168833700002 253250550003 337667400004 506501100006 1013002200012