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200211002221122 = 2341242199498461
BaseRepresentation
bin101101100001011101000001…
…101010101110001001000010
3222020212222120222112111010000
4231201131001222232021002
5202220224113032033442
61545451355323220430
760112524163515114
oct5541350152561102
9866788528474100
10200211002221122
115888001129a082
121a556297677716
138793a7cb02669
14376239add33b4
151822e33390d4c
hexb61741aae242

200211002221122 has 40 divisors (see below), whose sum is σ = 448657071871932. Its totient is φ = 66731627152800.

The previous prime is 200211002221093. The next prime is 200211002221123. The reversal of 200211002221122 is 221122200112002.

It is a happy number.

200211002221122 is a `hidden beast` number, since 200 + 21 + 100 + 2 + 221 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 191975129649081 + 8235872572041 = 13855509^2 + 2869821^2 .

It is a super-2 number, since 2×2002110022211222 (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 = 200211002221095 and 200211002221104.

It is not an unprimeable number, because it can be changed into a prime (200211002221123) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47737029 + ... + 51761432.

Almost surely, 2200211002221122 is an apocalyptic number.

200211002221122 is an abundant number, since it is smaller than the sum of its proper divisors (248446069650810).

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

200211002221122 is a wasteful number, since it uses less digits than its factorization.

200211002221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99510896 (or 99510887 counting only the distinct ones).

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

Adding to 200211002221122 its reverse (221122200112002), we get a palindrome (421333202333124).

The spelling of 200211002221122 in words is "two hundred trillion, two hundred eleven billion, two million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 12421 24842 37263 74526 111789 223578 335367 670734 1006101 2012202 99498461 198996922 298495383 596990766 895486149 1790972298 2686458447 5372916894 8059375341 16118750682 1235870384081 2471740768162 3707611152243 7415222304486 11122833456729 22245666913458 33368500370187 66737000740374 100105501110561 200211002221122