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1001012443112 = 231126946219151
BaseRepresentation
bin11101001000100001111…
…11011011011111101000
310112200210021111212100002
432210100333123133220
5112400033141134422
62043505254402132
7132215010243143
oct16442077333750
93480707455302
101001012443112
11356588478440
12142005060348
1373519c715c6
1436640ab305a
151b08a5a4692
hexe910fdb7e8

1001012443112 has 64 divisors (see below), whose sum is σ = 2055806438400. Its totient is φ = 453166560000.

The previous prime is 1001012443073. The next prime is 1001012443129. The reversal of 1001012443112 is 2113442101001.

It is a super-2 number, since 2×10010124431122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109383737 + ... + 109392887.

It is an arithmetic number, because the mean of its divisors is an integer number (32121975600).

Almost surely, 21001012443112 is an apocalyptic number.

It is an amenable number.

1001012443112 is an abundant number, since it is smaller than the sum of its proper divisors (1054793995288).

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

1001012443112 is a wasteful number, since it uses less digits than its factorization.

1001012443112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14058 (or 14054 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1001012443112 its reverse (2113442101001), we get a palindrome (3114454544113).

The spelling of 1001012443112 in words is "one trillion, one billion, twelve million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 269 538 1076 2152 2959 4621 5918 9151 9242 11836 18302 18484 23672 36604 36968 50831 73208 100661 101662 201322 203324 402644 406648 805288 1243049 2461619 2486098 4923238 4972196 9846476 9944392 13673539 19692952 27077809 27347078 42286771 54155618 54694156 84573542 108311236 109388312 169147084 216622472 338294168 465154481 930308962 1860617924 3721235848 11375141399 22750282798 45500565596 91001131192 125126555389 250253110778 500506221556 1001012443112