Search a number
-
+
1123223321121 = 3112411301108557
BaseRepresentation
bin10000010110000101010…
…100111011101000100001
310222101020100211201022020
4100112011110323220201
5121400330132233441
62220000205532053
7144102343462056
oct20260524735041
93871210751266
101123223321121
113a33a1311970
12161831274029
1381bc51c86c5
143c5158c902d
151e33e6c4e66
hex1058553ba21

1123223321121 has 32 divisors (see below), whose sum is σ = 1641834665856. Its totient is φ = 677389440000.

The previous prime is 1123223321107. The next prime is 1123223321137. The reversal of 1123223321121 is 1211233223211.

It is not a de Polignac number, because 1123223321121 - 25 = 1123223321089 is a prime.

It is a super-2 number, since 2×11232233211212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123223321091 and 1123223321100.

It is not an unprimeable number, because it can be changed into a prime (1123223321021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10292575 + ... + 10401131.

It is an arithmetic number, because the mean of its divisors is an integer number (51307333308).

Almost surely, 21123223321121 is an apocalyptic number.

1123223321121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1123223321121 is a deficient number, since it is larger than the sum of its proper divisors (518611344735).

1123223321121 is a wasteful number, since it uses less digits than its factorization.

1123223321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110113.

The product of its digits is 864, while the sum is 24.

Adding to 1123223321121 its reverse (1211233223211), we get a palindrome (2334456544332).

The spelling of 1123223321121 in words is "one trillion, one hundred twenty-three billion, two hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 11 33 241 723 1301 2651 3903 7953 14311 42933 108557 313541 325671 940623 1194127 3448951 3582381 10346853 26162237 78486711 141232657 287784607 423697971 863353821 1553559227 4660677681 34037070337 102111211011 374407773707 1123223321121