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1001100101012 = 2211171338369119
BaseRepresentation
bin11101001000101100011…
…01110100010110010100
310112201000101110100100222
432210112031310112110
5112400223111213022
62043522105253512
7132220123312424
oct16442615642624
93481011410328
101001100101012
113566229aa090
1214202a494298
137353218349b
143664c5b0484
151b09311c242
hexe916374594

1001100101012 has 24 divisors (see below), whose sum is σ = 2023614109440. Its totient is φ = 428278117760.

The previous prime is 1001100101011. The next prime is 1001100101123. The reversal of 1001100101012 is 2101010011001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669183812 + ... + 669185307.

It is an arithmetic number, because the mean of its divisors is an integer number (84317254560).

Almost surely, 21001100101012 is an apocalyptic number.

It is an amenable number.

1001100101012 is an abundant number, since it is smaller than the sum of its proper divisors (1022514008428).

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

1001100101012 is a wasteful number, since it uses less digits than its factorization.

1001100101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338369151 (or 1338369149 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001100101012 its reverse (2101010011001), we get a palindrome (3102110112013).

The spelling of 1001100101012 in words is "one trillion, one billion, one hundred million, one hundred one thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 1338369119 2676738238 5353476476 14722060309 22752275023 29444120618 45504550046 58888241236 91009100092 250275025253 500550050506 1001100101012