Search a number
-
+
222203211313131 = 3312777951810539
BaseRepresentation
bin110010100001011110110111…
…011110100110111111101011
31002010202102022211212201011000
4302201132313132212333223
5213111034134044010011
62104330425052210043
764542436501450446
oct6241366736467753
91063672284781130
10222203211313131
1164889941a62464
1220b08579a69923
1396ca899526119
143cc299b10465d
151aa503725c356
hexca17b77a6feb

222203211313131 has 32 divisors (see below), whose sum is σ = 329489567769600. Its totient is φ = 148000672432800.

The previous prime is 222203211313063. The next prime is 222203211313163. The reversal of 222203211313131 is 131313112302222.

222203211313131 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 0 + 3 + 211 + 313 + 131 = 666.

It is not a de Polignac number, because 222203211313131 - 211 = 222203211311083 is a prime.

It is a super-2 number, since 2×2222032113131312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 222203211313095 and 222203211313104.

It is not an unprimeable number, because it can be changed into a prime (222203211313631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273737260 + ... + 274547798.

It is an arithmetic number, because the mean of its divisors is an integer number (10296548992800).

Almost surely, 2222203211313131 is an apocalyptic number.

222203211313131 is a deficient number, since it is larger than the sum of its proper divisors (107286356456469).

222203211313131 is a wasteful number, since it uses less digits than its factorization.

222203211313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819776 (or 819770 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 222203211313131 its reverse (131313112302222), we get a palindrome (353516323615353).

The spelling of 222203211313131 in words is "two hundred twenty-two trillion, two hundred three billion, two hundred eleven million, three hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 27 1277 3831 7951 11493 23853 34479 71559 214677 810539 2431617 7294851 10153427 21884553 30460281 91380843 274142529 1035058303 3105174909 6444595589 9315524727 19333786767 27946574181 58001360301 174004080903 8229748567153 24689245701459 74067737104377 222203211313131