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112132152340 = 22513288337571
BaseRepresentation
bin110100001101110011…
…0001101110000010100
3101201102200102112112021
41220123212031300110
53314121312333330
6123302433102524
711046511366015
oct1503346156024
9351380375467
10112132152340
114361174978a
12198949b7a44
13a760164600
1455da43d00c
152db43b167a
hex1a1b98dc14

112132152340 has 72 divisors (see below), whose sum is σ = 255280098528. Its totient is φ = 41354651520.

The previous prime is 112132152331. The next prime is 112132152343. The reversal of 112132152340 is 43251231211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112132152343) 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 23 ways as a sum of consecutive naturals, for example, 2965755 + ... + 3003325.

It is an arithmetic number, because the mean of its divisors is an integer number (3545556924).

Almost surely, 2112132152340 is an apocalyptic number.

112132152340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112132152340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127640049264).

112132152340 is an abundant number, since it is smaller than the sum of its proper divisors (143147946188).

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

112132152340 is a wasteful number, since it uses less digits than its factorization.

112132152340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38489 (or 38474 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 112132152340 its reverse (43251231211), we get a palindrome (155383383551).

The spelling of 112132152340 in words is "one hundred twelve billion, one hundred thirty-two million, one hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 883 1690 1766 3380 3532 4415 8830 11479 17660 22958 37571 45916 57395 75142 114790 149227 150284 187855 229580 298454 375710 488423 596908 746135 751420 976846 1492270 1953692 2442115 2984540 4884230 6349499 9768460 12698998 25397996 31747495 33175193 63494990 66350386 126989980 132700772 165875965 331751930 431277509 663503860 862555018 1725110036 2156387545 4312775090 5606607617 8625550180 11213215234 22426430468 28033038085 56066076170 112132152340