Search a number
-
+
222120102121002 = 2335725971837357
BaseRepresentation
bin110010100000010001011101…
…110010001100111000101010
31002010110110210211021022101000
4302200101131302030320222
5213103203432120333002
62104224322145535430
764533435124124661
oct6240213562147052
91063413724238330
10222120102121002
1164857673a96308
1220ab4444944576
1396c2ab31c8367
143cbc95545bdd8
151aa2cc0d2b61c
hexca045dc8ce2a

222120102121002 has 32 divisors (see below), whose sum is σ = 493608854289600. Its totient is φ = 74038739937264.

The previous prime is 222120102120977. The next prime is 222120102121007. The reversal of 222120102121002 is 200121201021222.

It is a happy number.

222120102121002 is a `hidden beast` number, since 222 + 120 + 10 + 212 + 100 + 2 = 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 (222120102121007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32826693 + ... + 39010664.

It is an arithmetic number, because the mean of its divisors is an integer number (15425276696550).

Almost surely, 2222120102121002 is an apocalyptic number.

222120102121002 is an abundant number, since it is smaller than the sum of its proper divisors (271488752168598).

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

222120102121002 is a wasteful number, since it uses less digits than its factorization.

222120102121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71894627 (or 71894621 counting only the distinct ones).

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

Adding to 222120102121002 its reverse (200121201021222), we get a palindrome (422241303142224).

The spelling of 222120102121002 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred two million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 57259 114518 171777 343554 515331 1030662 1545993 3091986 71837357 143674714 215512071 431024142 646536213 1293072426 1939608639 3879217278 4113335224463 8226670448926 12340005673389 24680011346778 37020017020167 74040034040334 111060051060501 222120102121002