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101012111222022 = 232711135606177779
BaseRepresentation
bin10110111101111010110111…
…000000011110010100000110
3111020122122220201010210001100
4112331322313000132110012
5101214440300433101042
6554500153454440530
730163612165446420
oct2675726700362406
9436578821123040
10101012111222022
112a204aa544a470
12b3b49a7803146
13444952a618940
141ad3025949810
15ba285442624c
hex5bdeb701e506

101012111222022 has 96 divisors (see below), whose sum is σ = 293853414516480. Its totient is φ = 24218688000960.

The previous prime is 101012111221951. The next prime is 101012111222023. The reversal of 101012111222022 is 220222111210101.

It is a super-2 number, since 2×1010121112220222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101012111221986 and 101012111222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012111222023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2803070872 + ... + 2803106907.

It is an arithmetic number, because the mean of its divisors is an integer number (3060973067880).

Almost surely, 2101012111222022 is an apocalyptic number.

101012111222022 is an abundant number, since it is smaller than the sum of its proper divisors (192841303294458).

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

101012111222022 is a wasteful number, since it uses less digits than its factorization.

101012111222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606177818 (or 5606177815 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101012111222022 its reverse (220222111210101), we get a palindrome (321234222432123).

The spelling of 101012111222022 in words is "one hundred one trillion, twelve billion, one hundred eleven million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 18018 5606177779 11212355558 16818533337 33637066674 39243244453 50455600011 61667955569 72880311127 78486488906 100911200022 117729733359 123335911138 145760622254 185003866707 218640933381 235459466718 353189200077 370007733414 431675688983 437281866762 510162177889 555011600121 655922800143 706378400154 801683422397 863351377966 1020324355778 1110023200242 1295027066949 1311845600286 1530486533667 1603366844794 2405050267191 2590054133898 3060973067334 3885081200847 4591459601001 4810100534382 5611783956779 7215150801573 7770162401694 9182919202002 11223567913558 14430301603146 16835351870337 33670703740674 50506055611011 101012111222022