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100101221222022 = 23237201174739997
BaseRepresentation
bin10110110000101010100001…
…101110111000011010000110
3111010102120202012220101012200
4112300222201232320122012
5101110024300113101042
6552521511032455330
730041034402264636
oct2660524156703206
9433376665811180
10100101221222022
1129993764823479
12b28835454a546
1343b167396a567
141aa0cd41286c6
15b88ce0d37c4c
hex5b0aa1bb8686

100101221222022 has 48 divisors (see below), whose sum is σ = 222858530196432. Its totient is φ = 32449116663360.

The previous prime is 100101221222021. The next prime is 100101221222027. The reversal of 100101221222022 is 220222122101001.

It is a happy number.

100101221222022 is a `hidden beast` number, since 100 + 101 + 221 + 2 + 220 + 22 = 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 = 100101221221986 and 100101221222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101221222021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36030673 + ... + 38709324.

It is an arithmetic number, because the mean of its divisors is an integer number (4642886045759).

Almost surely, 2100101221222022 is an apocalyptic number.

100101221222022 is an abundant number, since it is smaller than the sum of its proper divisors (122757308974410).

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

100101221222022 is a wasteful number, since it uses less digits than its factorization.

100101221222022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74742053 (or 74742050 counting only the distinct ones).

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

Adding to 100101221222022 its reverse (220222122101001), we get a palindrome (320323343323023).

The spelling of 100101221222022 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 2011 4022 6033 12066 18099 36198 74407 148814 223221 446442 669663 1339326 74739997 149479994 224219991 448439982 672659973 1345319946 2765379889 5530759778 8296139667 16592279334 24888419001 49776838002 150302133967 300604267934 450906401901 901812803802 1352719205703 2705438411406 5561178956779 11122357913558 16683536870337 33367073740674 50050610611011 100101221222022