Search a number
-
+
100222111002012 = 223172397220208363
BaseRepresentation
bin10110110010011011000111…
…010100110010110110011100
3111010212010210020100111101120
4112302123013110302312130
5101114014340404031022
6553053222512210540
730052544224412046
oct2662330724626634
9433763706314346
10100222111002012
1129a2aa5a96a45a
12b2a7872239a50
1343bcb9b2b055c
141aa6ac16caa96
15b8c018e9bd5c
hex5b26c7532d9c

100222111002012 has 96 divisors (see below), whose sum is σ = 261036756352512. Its totient is φ = 29765123874816.

The previous prime is 100222111002011. The next prime is 100222111002023. The reversal of 100222111002012 is 210200111222001.

It is a super-2 number, since 2×1002221110020122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100222111001982 and 100222111002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222111002011) 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, 109649058 + ... + 110559305.

It is an arithmetic number, because the mean of its divisors is an integer number (2719132878672).

Almost surely, 2100222111002012 is an apocalyptic number.

100222111002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100222111002012 is an abundant number, since it is smaller than the sum of its proper divisors (160814645350500).

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

100222111002012 is a wasteful number, since it uses less digits than its factorization.

100222111002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220208507 (or 220208505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100222111002012 its reverse (210200111222001), we get a palindrome (310422222224013).

The spelling of 100222111002012 in words is "one hundred trillion, two hundred twenty-two billion, one hundred eleven million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 97 102 138 194 204 276 291 388 391 582 782 1164 1173 1564 1649 2231 2346 3298 4462 4692 4947 6596 6693 8924 9894 13386 19788 26772 37927 75854 113781 151708 227562 455124 220208363 440416726 660625089 880833452 1321250178 2642500356 3743542171 5064792349 7487084342 10129584698 11230626513 14974168684 15194377047 20259169396 21360211211 22461253026 30388754094 42720422422 44922506052 60777508188 64080633633 85440844844 86101469933 128161267266 172202939866 256322534532 258304409799 344405879732 363123590587 491284857853 516608819598 726247181174 982569715706 1033217639196 1089370771761 1452494362348 1473854573559 1965139431412 2178741543522 2947709147118 4357483087044 5895418294236 8351842583501 16703685167002 25055527750503 33407370334004 50111055501006 100222111002012