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100022110102119 = 36731911090314303
BaseRepresentation
bin10110101111100000110110…
…010101111010001001100111
3111010011000112211101002110210
4112233200312111322021213
5101102230240141231434
6552421304550550503
730032234062666332
oct2657406625721147
9433130484332423
10100022110102119
1129963158644147
12b274b56368433
1343a7076a378ca
141a9b14b453619
15b86c108eaee9
hex5af83657a267

100022110102119 has 32 divisors (see below), whose sum is σ = 135417605750784. Its totient is φ = 65654963716320.

The previous prime is 100022110102097. The next prime is 100022110102139. The reversal of 100022110102119 is 911201011220001.

It is not a de Polignac number, because 100022110102119 - 25 = 100022110102087 is a prime.

It is a super-2 number, since 2×1000221101021192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100022110102095 and 100022110102104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022110102139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6993078922 + ... + 6993093224.

It is an arithmetic number, because the mean of its divisors is an integer number (4231800179712).

Almost surely, 2100022110102119 is an apocalyptic number.

100022110102119 is a deficient number, since it is larger than the sum of its proper divisors (35395495648665).

100022110102119 is a wasteful number, since it uses less digits than its factorization.

100022110102119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28467.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 100022110102119 in words is "one hundred trillion, twenty-two billion, one hundred ten million, one hundred two thousand, one hundred nineteen".

Divisors: 1 3 67 201 3191 9573 10903 14303 32709 42909 213797 641391 730501 958301 2191503 2874903 34791473 45640873 104374419 136922619 155945609 467836827 2331028691 3057938491 6993086073 9173815473 10448355803 31345067409 497622438319 1492867314957 33340703367373 100022110102119