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100112111002022 = 27437989101234181
BaseRepresentation
bin10110110000110100101010…
…110100000110000110100110
3111010110121212010221112000212
4112300310222310012012212
5101110214100404031042
6552530511402335422
730041601303011450
oct2660645264060646
9433417763845025
10100112111002022
112999834281a359
12b28a4934ba572
1343b26baab3672
141aa16485072d0
15b8922bda4482
hex5b0d2ad061a6

100112111002022 has 128 divisors (see below), whose sum is σ = 181614323404800. Its totient is φ = 40506770304000.

The previous prime is 100112111002021. The next prime is 100112111002031. The reversal of 100112111002022 is 220200111211001.

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 = 100112111001988 and 100112111002006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112111002021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 427381772 + ... + 427615952.

It is an arithmetic number, because the mean of its divisors is an integer number (1418861901600).

Almost surely, 2100112111002022 is an apocalyptic number.

100112111002022 is a deficient number, since it is larger than the sum of its proper divisors (81502212402778).

100112111002022 is a wasteful number, since it uses less digits than its factorization.

100112111002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234502.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112111002022 its reverse (220200111211001), we get a palindrome (320312222213023).

The spelling of 100112111002022 in words is "one hundred trillion, one hundred twelve billion, one hundred eleven million, two thousand, twenty-two".

Divisors: 1 2 7 14 43 79 86 89 101 158 178 202 301 553 602 623 707 1106 1246 1414 3397 3827 4343 6794 7031 7654 7979 8686 8989 14062 15958 17978 23779 26789 30401 47558 49217 53578 55853 60802 62923 98434 111706 125846 234181 302333 343097 386527 468362 604666 686194 710131 773054 1420262 1639267 2116331 2401679 2705689 3278534 4232662 4803358 4970917 5411378 9941834 10069783 18500299 20139566 20842109 23652281 30535633 37000598 41684218 47304562 61071266 70488481 129502093 140976962 145894763 165565967 213749431 259004186 291789526 331131934 427498862 795512857 896210687 1017048083 1591025714 1646526611 1792421374 1868530199 2034096166 2105053009 3293053222 3737060398 4210106018 5568589999 6273474809 7119336581 11137179998 11525686277 12546949618 13079711393 14238673162 14735371063 23051372554 26159422786 29470742126 70800644273 80346798557 90517279387 141601288546 160693597114 166299187711 181034558774 332598375422 495604509911 562427589899 633620955709 991209019822 1124855179798 1164094313977 1267241911418 2328188627954 7150865071573 14301730143146 50056055501011 100112111002022