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100000112022 = 232711031674549
BaseRepresentation
bin101110100100001111…
…0001001110110010110
3100120010011212000220200
41131020132021312112
53114300012041042
6113534525241330
710140044633046
oct1351036116626
9316104760820
10100000112022
1139456502288
1217469a03246
13957884b725
144ba908d726
15290425cc4c
hex1748789d96

100000112022 has 96 divisors (see below), whose sum is σ = 223229260800. Its totient is φ = 32342829120.

The previous prime is 100000111987. The next prime is 100000112063. The reversal of 100000112022 is 220211000001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100000111995 and 100000112013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21980604 + ... + 21985152.

It is an arithmetic number, because the mean of its divisors is an integer number (2325304800).

Almost surely, 2100000112022 is an apocalyptic number.

100000112022 is an abundant number, since it is smaller than the sum of its proper divisors (123229148778).

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

100000112022 is a wasteful number, since it uses less digits than its factorization.

100000112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100000112022 its reverse (220211000001), we get a palindrome (320211112023).

The spelling of 100000112022 in words is "one hundred billion, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 71 103 142 167 206 213 309 334 426 501 618 639 927 1002 1278 1503 1854 3006 4549 7313 9098 11857 13647 14626 17201 21939 23714 27294 34402 35571 40941 43878 51603 65817 71142 81882 103206 106713 131634 154809 213426 309618 322979 468547 645958 759683 937094 968937 1221271 1405641 1519366 1937874 2279049 2442542 2811282 2906811 3663813 4216923 4558098 5813622 6837147 7327626 8433846 10991439 13674294 21982878 33266837 53937493 66533674 78247349 99800511 107874986 156494698 161812479 199601022 234742047 299401533 323624958 469484094 485437437 598803066 704226141 970874874 1408452282 5555561779 11111123558 16666685337 33333370674 50000056011 100000112022