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100022110110213 = 3375317001888511
BaseRepresentation
bin10110101111100000110110…
…010101111100001000000101
3111010011000112211101111120120
4112233200312111330020011
5101102230240142011323
6552421304551052153
730032234063032044
oct2657406625741005
9433130484344516
10100022110110213
112996315864a235
12b274b56371059
1343a7076a3b4b5
141a9b14b45655b
15b86c108ed5e3
hex5af83657c205

100022110110213 has 16 divisors (see below), whose sum is σ = 139551500906496. Its totient is φ = 63655070581440.

The previous prime is 100022110110191. The next prime is 100022110110289. The reversal of 100022110110213 is 312011011220001.

It is not a de Polignac number, because 100022110110213 - 210 = 100022110109189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100022110110192 and 100022110110201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022110110613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8500938373 + ... + 8500950138.

It is an arithmetic number, because the mean of its divisors is an integer number (8721968806656).

Almost surely, 2100022110110213 is an apocalyptic number.

It is an amenable number.

100022110110213 is a deficient number, since it is larger than the sum of its proper divisors (39529390796283).

100022110110213 is a wasteful number, since it uses less digits than its factorization.

100022110110213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17001888604.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100022110110213 its reverse (312011011220001), we get a palindrome (412033121330214).

The spelling of 100022110110213 in words is "one hundred trillion, twenty-two billion, one hundred ten million, one hundred ten thousand, two hundred thirteen".

Divisors: 1 3 37 53 111 159 1961 5883 17001888511 51005665533 629069874907 901100091083 1887209624721 2703300273249 33340703370071 100022110110213