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100022211211 = 1317812355717
BaseRepresentation
bin101110100100111001…
…0011101001010001011
3100120011201102210022011
41131021302131022023
53114321141224321
6113541035040351
710140433524136
oct1351162351213
9316151383264
10100022211211
1139467a2677a
12174752a00b7
1395802b8480
144babda321d
152906175ae1
hex1749c9d28b

100022211211 has 16 divisors (see below), whose sum is σ = 114068564064. Its totient is φ = 86884867584.

The previous prime is 100022211209. The next prime is 100022211227. The reversal of 100022211211 is 112112220001.

It is a cyclic number.

It is not a de Polignac number, because 100022211211 - 21 = 100022211209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100022211191 and 100022211200.

It is not an unprimeable number, because it can be changed into a prime (100022211281) 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 15 ways as a sum of consecutive naturals, for example, 1767325 + ... + 1823041.

It is an arithmetic number, because the mean of its divisors is an integer number (7129285254).

Almost surely, 2100022211211 is an apocalyptic number.

100022211211 is a deficient number, since it is larger than the sum of its proper divisors (14046352853).

100022211211 is a wasteful number, since it uses less digits than its factorization.

100022211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63870.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100022211211 its reverse (112112220001), we get a palindrome (212134431212).

The spelling of 100022211211 in words is "one hundred billion, twenty-two million, two hundred eleven thousand, two hundred eleven".

Divisors: 1 13 17 221 8123 55717 105599 138091 724321 947189 1795183 12313457 452589191 5883659483 7694016247 100022211211