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10022100210122 = 27111329421410029
BaseRepresentation
bin1001000111010111001110…
…1110010001000111001010
31022111002210101200020202012
42101311303232101013022
52303200230123210442
633152031141135522
72053033662131630
oct221656356210712
938432711606665
1010022100210122
113214392324a90
12115a4250ba5a2
13579106995830
14269102317350
15125a70268582
hex91d73b911ca

10022100210122 has 128 divisors (see below), whose sum is σ = 20930030553600. Its totient is φ = 3471789081600.

The previous prime is 10022100210119. The next prime is 10022100210229. The reversal of 10022100210122 is 22101200122001.

10022100210122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10022100210097 and 10022100210106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24237404 + ... + 24647432.

It is an arithmetic number, because the mean of its divisors is an integer number (163515863700).

Almost surely, 210022100210122 is an apocalyptic number.

10022100210122 is an abundant number, since it is smaller than the sum of its proper divisors (10907930343478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10022100210122 is a wasteful number, since it uses less digits than its factorization.

10022100210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410512.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10022100210122 its reverse (22101200122001), we get a palindrome (32123300332123).

The spelling of 10022100210122 in words is "ten trillion, twenty-two billion, one hundred million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 29 58 77 91 143 154 182 203 286 319 377 406 421 638 754 842 1001 2002 2233 2639 2947 4147 4466 4631 5278 5473 5894 8294 9262 10946 12209 24418 29029 32417 38311 58058 60203 64834 76622 85463 120406 134299 158717 170926 268598 317434 410029 421421 820058 842842 940093 1111019 1745887 1880186 2222038 2870203 3491774 4510319 5330377 5740406 9020638 10660754 11890841 12221209 23781682 24442418 31572233 37312639 58634147 63144466 74625278 83235887 117268294 130799251 154580933 166471774 172622209 261598502 309161866 345244418 410439029 820878058 915594757 1082066531 1208355463 1700390263 1831189514 1898844299 2164133062 2244088717 2416710926 3400780526 3797688598 4488177434 5006044061 10012088122 11902731841 13291910093 15708621019 23805463682 24684975887 26583820186 31417242038 35042308427 49369951774 55066484671 65078572793 70084616854 110132969342 130157145586 172794831209 345589662418 385465392697 455550009551 715864300723 770930785394 911100019102 1431728601446 5011050105061 10022100210122