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1000012211201 = 712198375761
BaseRepresentation
bin11101000110101010101…
…11110110010000000001
310112121012120101211002202
432203111113312100001
5112341011111224301
62043222124122545
7132151143355133
oct16432527662001
93477176354082
101000012211201
113561149063a3
12141986096455
13733ba9829c3
1436587d05053
151b02c87966b
hexe8d55f6401

1000012211201 has 6 divisors (see below), whose sum is σ = 1014295271106. Its totient is φ = 985927527200.

The previous prime is 1000012211167. The next prime is 1000012211207. The reversal of 1000012211201 is 1021122100001.

It can be written as a sum of positive squares in only one way, i.e., 527658412801 + 472353798400 = 726401^2 + 687280^2 .

It is a de Polignac number, because none of the positive numbers 2k-1000012211201 is a prime.

It is a super-2 number, since 2×10000122112012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000012211207) 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 5 ways as a sum of consecutive naturals, for example, 99182840 + ... + 99192921.

It is an arithmetic number, because the mean of its divisors is an integer number (169049211851).

Almost surely, 21000012211201 is an apocalyptic number.

It is an amenable number.

1000012211201 is a deficient number, since it is larger than the sum of its proper divisors (14283059905).

1000012211201 is an frugal number, since it uses more digits than its factorization.

1000012211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198375903 (or 198375832 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000012211201 its reverse (1021122100001), we get a palindrome (2021134311202).

The spelling of 1000012211201 in words is "one trillion, twelve million, two hundred eleven thousand, two hundred one".

Divisors: 1 71 5041 198375761 14084679031 1000012211201