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100211111200122 = 231317637031186349
BaseRepresentation
bin10110110010010000110111…
…101011111000010101111010
3111010211002101122021122220120
4112302100313223320111322
5101113324323431400442
6553044203212234110
730052004516552556
oct2662206753702572
9433732348248816
10100211111200122
1129a2632585749a
12b2a570246b936
1343bbb37425140
141aa635a86c866
15b8bac344b4ec
hex5b2437af857a

100211111200122 has 64 divisors (see below), whose sum is σ = 228539526969600. Its totient is φ = 29019932273664.

The previous prime is 100211111200111. The next prime is 100211111200129. The reversal of 100211111200122 is 221002111112001.

It is a happy number.

It is a super-2 number, since 2×1002111112001222 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100211111200129) 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, 83877004 + ... + 85063352.

It is an arithmetic number, because the mean of its divisors is an integer number (3570930108900).

Almost surely, 2100211111200122 is an apocalyptic number.

100211111200122 is an abundant number, since it is smaller than the sum of its proper divisors (128328415769478).

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

100211111200122 is a wasteful number, since it uses less digits than its factorization.

100211111200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250087.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100211111200122 its reverse (221002111112001), we get a palindrome (321213222312123).

It can be divided in two parts, 1002111112001 and 22, that multiplied together give a palindrome (22046444464022).

The spelling of 100211111200122 in words is "one hundred trillion, two hundred eleven billion, one hundred eleven million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 63703 127406 191109 382218 828139 1082951 1186349 1656278 2165902 2372698 2484417 3248853 3559047 4968834 6497706 7118094 14078363 15422537 20167933 28156726 30845074 40335866 42235089 46267611 60503799 84470178 92535222 121007598 262183129 524366258 786549387 1573098774 75573990347 151147980694 226721971041 453443942082 982461874511 1284757835899 1964923749022 2569515671798 2947385623533 3854273507697 5894771247066 7708547015394 16701851866687 33403703733374 50105555600061 100211111200122