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112331141 = 1397229389
BaseRepresentation
bin1101011001000…
…00100110000101
321211101000100122
412230200212011
5212224044031
615051351325
72532541016
oct654404605
9254330318
10112331141
115845405a
1231752545
131a370440
1410cc100d
159cdd47b
hex6b20985

112331141 has 16 divisors (see below), whose sum is σ = 123068400. Its totient is φ = 101910528.

The previous prime is 112331137. The next prime is 112331147. The reversal of 112331141 is 141133211.

It can be written as a sum of positive squares in 8 ways, for example, as 1113025 + 111218116 = 1055^2 + 10546^2 .

It is not a de Polignac number, because 112331141 - 22 = 112331137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112331147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288575 + ... + 288963.

It is an arithmetic number, because the mean of its divisors is an integer number (7691775).

Almost surely, 2112331141 is an apocalyptic number.

It is an amenable number.

112331141 is a deficient number, since it is larger than the sum of its proper divisors (10737259).

112331141 is a wasteful number, since it uses less digits than its factorization.

112331141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728.

The product of its digits is 72, while the sum is 17.

The square root of 112331141 is about 10598.6386389951. The cubic root of 112331141 is about 482.5030431050.

Adding to 112331141 its reverse (141133211), we get a palindrome (253464352).

The spelling of 112331141 in words is "one hundred twelve million, three hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 13 97 229 389 1261 2977 5057 22213 37733 89081 288769 490529 1158053 8640857 112331141