Search a number
-
+
112209132 = 22374992677
BaseRepresentation
bin1101011000000…
…10110011101100
321211010210222210
412230002303230
5212211143012
615045010420
72531522220
oct654026354
9254123883
10112209132
1158380422
12316b3a10
131a329a49
1410c8c780
159cb723c
hex6b02cec

112209132 has 48 divisors (see below), whose sum is σ = 299936000. Its totient is φ = 31983552.

The previous prime is 112209131. The next prime is 112209133. The reversal of 112209132 is 231902211.

It is an interprime number because it is at equal distance from previous prime (112209131) and next prime (112209133).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 112209099 and 112209108.

It is not an unprimeable number, because it can be changed into a prime (112209131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40578 + ... + 43254.

Almost surely, 2112209132 is an apocalyptic number.

112209132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112209132 is an abundant number, since it is smaller than the sum of its proper divisors (187726868).

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

112209132 is a wasteful number, since it uses less digits than its factorization.

112209132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 112209132 is about 10592.8811944626. The cubic root of 112209132 is about 482.3282888323.

The spelling of 112209132 in words is "one hundred twelve million, two hundred nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 499 998 1497 1996 2677 2994 3493 5354 5988 6986 8031 10479 10708 13972 16062 18739 20958 32124 37478 41916 56217 74956 112434 224868 1335823 2671646 4007469 5343292 8014938 9350761 16029876 18701522 28052283 37403044 56104566 112209132