Search a number
-
+
222142404120021 = 32721157180198101
BaseRepresentation
bin110010100000100110001111…
…000101100100110111010101
31002010112121101002102020121200
4302200212033011210313111
5213104040120423320041
62104242451151103113
764535154601030200
oct6240461705446725
91063477332366550
10222142404120021
1164866078981260
1220ab8829811a99
1396c4c28797c98
143cbda6d372937
151aa3678c111b6
hexca098f164dd5

222142404120021 has 72 divisors (see below), whose sum is σ = 407905511146848. Its totient is φ = 115196550840000.

The previous prime is 222142404119953. The next prime is 222142404120061. The reversal of 222142404120021 is 120021404241222.

222142404120021 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 4 + 240 + 412 + 0 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 222142404120021 - 217 = 222142403988949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222142404120061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37329130 + ... + 42868971.

It is an arithmetic number, because the mean of its divisors is an integer number (5665354321484).

Almost surely, 2222142404120021 is an apocalyptic number.

222142404120021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222142404120021 is a deficient number, since it is larger than the sum of its proper divisors (185763107026827).

222142404120021 is a wasteful number, since it uses less digits than its factorization.

222142404120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80198703 (or 80198693 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 222142404120021 its reverse (120021404241222), we get a palindrome (342163808361243).

The spelling of 222142404120021 in words is "two hundred twenty-two trillion, one hundred forty-two billion, four hundred four million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 571 693 1617 1713 3997 4851 5139 6281 11991 18843 27979 35973 43967 56529 83937 131901 251811 307769 395703 923307 2769921 80198101 240594303 561386707 721782909 882179111 1684160121 2646537333 3929706949 5052480363 6175253777 7939611999 11789120847 18525761331 35367362541 43226776439 45793115671 55577283993 129680329317 137379347013 320551809697 389040987951 412138041039 503724272381 961655429091 1511172817143 2243862667879 2884966287273 3526069906667 4533518451429 6731588003637 10578209720001 20194764010911 24682489346669 31734629160003 74047468040007 222142404120021