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101122201002222 = 2334373428226241
BaseRepresentation
bin10110111111100001011000…
…110111101010000011101110
3111021001012002001111001201000
4112333201120313222003232
5101223241231424032342
6555022521532501130
730204560260235631
oct2677413067520356
9437035061431630
10101122201002222
112a247759240794
12b4121b061a7a6
134456a235bb70a
141ad84aaa1dc18
15ba564935544c
hex5bf858dea0ee

101122201002222 has 32 divisors (see below), whose sum is σ = 224767389900960. Its totient is φ = 33699692183040.

The previous prime is 101122201002169. The next prime is 101122201002271. The reversal of 101122201002222 is 222200102221101.

It is a happy number.

101122201002222 is a `hidden beast` number, since 10 + 112 + 220 + 100 + 2 + 222 = 666.

It is a super-2 number, since 2×1011222010022222 (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 = 101122201002195 and 101122201002204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213876979 + ... + 214349262.

It is an arithmetic number, because the mean of its divisors is an integer number (7023980934405).

Almost surely, 2101122201002222 is an apocalyptic number.

101122201002222 is an abundant number, since it is smaller than the sum of its proper divisors (123645188898738).

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

101122201002222 is a wasteful number, since it uses less digits than its factorization.

101122201002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428230625 (or 428230619 counting only the distinct ones).

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

Adding to 101122201002222 its reverse (222200102221101), we get a palindrome (323322303223323).

The spelling of 101122201002222 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred one million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 4373 8746 13119 26238 39357 78714 118071 236142 428226241 856452482 1284678723 2569357446 3854036169 7708072338 11562108507 23124217014 1872633351893 3745266703786 5617900055679 11235800111358 16853700167037 33707400334074 50561100501111 101122201002222