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113321322 = 2332323967
BaseRepresentation
bin1101100000100…
…10010101101010
321220020022122000
412300102111222
5213002240242
615124511430
72544133602
oct660222552
9256208560
10113321322
1158a6aa94
1231b4b576
131a62904a
141109bc02
159e36a4c
hex6c1256a

113321322 has 48 divisors (see below), whose sum is σ = 263316480. Its totient is φ = 36122328.

The previous prime is 113321309. The next prime is 113321353. The reversal of 113321322 is 223123311.

113321322 is a `hidden beast` number, since 11 + 332 + 1 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 113321295 and 113321304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26583 + ... + 30549.

It is an arithmetic number, because the mean of its divisors is an integer number (5485760).

Almost surely, 2113321322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113321322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131658240).

113321322 is an abundant number, since it is smaller than the sum of its proper divisors (149995158).

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

113321322 is a wasteful number, since it uses less digits than its factorization.

113321322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 3995 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 113321322 is about 10645.2487993471. The cubic root of 113321322 is about 483.9166266927.

Adding to 113321322 its reverse (223123311), we get a palindrome (336444633).

The spelling of 113321322 in words is "one hundred thirteen million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 621 1058 1242 1587 3174 3967 4761 7934 9522 11901 14283 23802 28566 35703 71406 91241 107109 182482 214218 273723 547446 821169 1642338 2098543 2463507 4197086 4927014 6295629 12591258 18886887 37773774 56660661 113321322