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100201212210222 = 2334025346097881
BaseRepresentation
bin10110110010000111101001…
…101010001110110000101110
3111010210010211202120212121000
4112302013221222032300232
5101113144040311211342
6553035445034421130
730051204306540654
oct2662075152166056
9433703752525530
10100201212210222
1129a22106063902
12b2a37bb2917a6
1343bac1a643176
141aa5a9bcc0dd4
15b8b6e439244c
hex5b21e9a8ec2e

100201212210222 has 32 divisors (see below), whose sum is σ = 222674897043360. Its totient is φ = 33399573583680.

The previous prime is 100201212210167. The next prime is 100201212210247. The reversal of 100201212210222 is 222012212102001.

It is a happy number.

100201212210222 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 1 + 212 + 210 + 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 = 100201212210195 and 100201212210204.

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, 20875279 + ... + 25222602.

It is an arithmetic number, because the mean of its divisors is an integer number (6958590532605).

Almost surely, 2100201212210222 is an apocalyptic number.

100201212210222 is an abundant number, since it is smaller than the sum of its proper divisors (122473684833138).

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

100201212210222 is a wasteful number, since it uses less digits than its factorization.

100201212210222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46138145 (or 46138139 counting only the distinct ones).

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

Adding to 100201212210222 its reverse (222012212102001), we get a palindrome (322213424312223).

The spelling of 100201212210222 in words is "one hundred trillion, two hundred one billion, two hundred twelve million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 40253 80506 120759 241518 362277 724554 1086831 2173662 46097881 92195762 138293643 276587286 414880929 829761858 1244642787 2489285574 1855578003893 3711156007786 5566734011679 11133468023358 16700202035037 33400404070074 50100606105111 100201212210222