Search a number
-
+
1100322133131 = 31343656125303
BaseRepresentation
bin10000000000110000010…
…011110101010010001011
310220012010100012211022110
4100000300103311102023
5121011424431230011
62201251521553403
7142332002546124
oct20006023652213
93805110184273
101100322133131
1139470a182421
121592bb7a5863
137c9b57553b0
143b38219d04b
151d94ddd2ba6
hex100304f548b

1100322133131 has 16 divisors (see below), whose sum is σ = 1616692749056. Its totient is φ = 661374304416.

The previous prime is 1100322133111. The next prime is 1100322133189. The reversal of 1100322133131 is 1313312230011.

It is a happy number.

It is not a de Polignac number, because 1100322133131 - 27 = 1100322133003 is a prime.

It is a super-2 number, since 2×11003221331312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100322133098 and 1100322133107.

It is not an unprimeable number, because it can be changed into a prime (1100322133111) 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, 328060975 + ... + 328064328.

It is an arithmetic number, because the mean of its divisors is an integer number (101043296816).

Almost surely, 21100322133131 is an apocalyptic number.

1100322133131 is a deficient number, since it is larger than the sum of its proper divisors (516370615925).

1100322133131 is a wasteful number, since it uses less digits than its factorization.

1100322133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656125362.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1100322133131 its reverse (1313312230011), we get a palindrome (2413634363142).

The spelling of 1100322133131 in words is "one trillion, one hundred billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 13 39 43 129 559 1677 656125303 1968375909 8529628939 25588886817 28213388029 84640164087 366774044377 1100322133131