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100122201120222 = 232171462122378547
BaseRepresentation
bin10110110000111110000100…
…001110110101110111011110
3111010111120220100021122002100
4112300332010032311313132
5101110400231441321342
6552535300524505530
730042406323420621
oct2660760416656736
9433446810248070
10100122201120222
11299a1650396516
12b29042a6ab2a6
1343b36383647c8
141aa1d24607db8
15b8961cb13e4c
hex5b0f843b5dde

100122201120222 has 48 divisors (see below), whose sum is σ = 229707828456912. Its totient is φ = 31408736881920.

The previous prime is 100122201120191. The next prime is 100122201120269. The reversal of 100122201120222 is 222021102221001.

It is a happy number.

100122201120222 is a `hidden beast` number, since 1 + 0 + 0 + 122 + 201 + 120 + 222 = 666.

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 = 100122201120195 and 100122201120204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6715248 + ... + 15663299.

It is an arithmetic number, because the mean of its divisors is an integer number (4785579759519).

Almost surely, 2100122201120222 is an apocalyptic number.

100122201120222 is an abundant number, since it is smaller than the sum of its proper divisors (129585627336690).

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

100122201120222 is a wasteful number, since it uses less digits than its factorization.

100122201120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22393193 (or 22393190 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122201120222 its reverse (222021102221001), we get a palindrome (322143303341223).

The spelling of 100122201120222 in words is "one hundred trillion, one hundred twenty-two billion, two hundred one million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 14621 29242 43863 87726 131589 248557 263178 497114 745671 1491342 2237013 4474026 22378547 44757094 67135641 134271282 201406923 380435299 402813846 760870598 1141305897 2282611794 3423917691 6847835382 327196735687 654393471374 981590207061 1963180414122 2944770621183 5562344506679 5889541242366 11124689013358 16687033520037 33374067040074 50061100560111 100122201120222