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1000222002131 = 11431761277231
BaseRepresentation
bin11101000111000011110…
…00001000101111010011
310112121202012011022011012
432203201320020233103
5112341423313032011
62043255020441135
7132156301511402
oct16434170105723
93477665138135
101000222002131
11356212276430
12141a243a91ab
1373422287651
14365a7b15639
151b040eb9a8b
hexe8e1e08bd3

1000222002131 has 16 divisors (see below), whose sum is σ = 1095124064256. Its totient is φ = 905987640000.

The previous prime is 1000222002083. The next prime is 1000222002161. The reversal of 1000222002131 is 1312002220001.

It is a happy number.

1000222002131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1000222002131 - 238 = 725344095187 is a prime.

It is a super-2 number, since 2×10002220021312 (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 (1000222002161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3469286 + ... + 3746516.

It is an arithmetic number, because the mean of its divisors is an integer number (68445254016).

Almost surely, 21000222002131 is an apocalyptic number.

1000222002131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1000222002131 is a deficient number, since it is larger than the sum of its proper divisors (94902062125).

1000222002131 is a wasteful number, since it uses less digits than its factorization.

1000222002131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278434.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1000222002131 its reverse (1312002220001), we get a palindrome (2312224222132).

The spelling of 1000222002131 in words is "one trillion, two hundred twenty-two million, two thousand, one hundred thirty-one".

Divisors: 1 11 431 761 4741 8371 277231 327991 3049541 3607901 119486561 210972791 1314352171 2320700701 90929272921 1000222002131