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1123133321322 = 232294152477961
BaseRepresentation
bin10000010101111111111…
…101100111000001101010
310222101000002111020210100
4100111333331213001222
5121400134112240242
62215543232530230
7144100201500015
oct20257775470152
93871002436710
101123133321322
113a3355530771
121618070b0976
1381bac67689c
143c50797c37c
151e33684854c
hex1057ff6706a

1123133321322 has 48 divisors (see below), whose sum is σ = 2578767052680. Its totient is φ = 352651891200.

The previous prime is 1123133321287. The next prime is 1123133321327. The reversal of 1123133321322 is 2231233313211.

1123133321322 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 1 + 3 + 332 + 1 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 299647854801 + 823485466521 = 547401^2 + 907461^2 .

It is a super-2 number, since 2×11231333213222 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1123133321327) 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 23 ways as a sum of consecutive naturals, for example, 26217579 + ... + 26260382.

Almost surely, 21123133321322 is an apocalyptic number.

1123133321322 is an abundant number, since it is smaller than the sum of its proper divisors (1455633731358).

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

1123133321322 is a wasteful number, since it uses less digits than its factorization.

1123133321322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52478039 (or 52478036 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1123133321322 its reverse (2231233313211), we get a palindrome (3354366634533).

The spelling of 1123133321322 in words is "one trillion, one hundred twenty-three billion, one hundred thirty-three million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2378 3567 7134 10701 21402 52477961 104955922 157433883 314867766 472301649 944603298 1521860869 2151596401 3043721738 4303192802 4565582607 6454789203 9131165214 12909578406 13696747821 19364367609 27393495642 38728735218 62396295629 124792591258 187188886887 374377773774 561566660661 1123133321322