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2120222120202 = 2323137122383969
BaseRepresentation
bin11110110110100111000…
…101100001100100001010
321111200122220222100002200
4132312213011201210022
5234214203330321302
64302003330141030
7306116036444154
oct36664705414412
97450586870080
102120222120202
117481aa12711a
122a2ab6121776
13124c2277c1c4
14748954d5ad4
153a24270b81c
hex1eda716190a

2120222120202 has 96 divisors (see below), whose sum is σ = 4874204574720. Its totient is φ = 664905646080.

The previous prime is 2120222120173. The next prime is 2120222120207. The reversal of 2120222120202 is 2020212220212.

2120222120202 is a `hidden beast` number, since 2 + 120 + 222 + 120 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2120222120207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25208074 + ... + 25292042.

It is an arithmetic number, because the mean of its divisors is an integer number (50772964320).

Almost surely, 22120222120202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120222120202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437102287360).

2120222120202 is an abundant number, since it is smaller than the sum of its proper divisors (2753982454518).

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

2120222120202 is a wasteful number, since it uses less digits than its factorization.

2120222120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85268 (or 85265 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2120222120202 its reverse (2020212220212), we get a palindrome (4140434340414).

The spelling of 2120222120202 in words is "two trillion, one hundred twenty billion, two hundred twenty-two million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 558 666 1147 1223 2294 2446 3441 3669 6882 7338 10323 11007 20646 22014 37913 45251 75826 83969 90502 113739 135753 167938 227478 251907 271506 341217 407259 503814 682434 755721 814518 1402781 1511442 2603039 2805562 3106853 4208343 5206078 6213706 7809117 8416686 9320559 12625029 15618234 18641118 23427351 25250058 27961677 46854702 55923354 96312443 102694087 192624886 205388174 288937329 308082261 577874658 616164522 866811987 924246783 1733623974 1848493566 3183516697 3799681219 6367033394 7599362438 9550550091 11399043657 19101100182 22798087314 28651650273 34197130971 57303300546 68394261942 117790117789 235580235578 353370353367 706740706734 1060111060101 2120222120202