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112310599149 = 32729269228523
BaseRepresentation
bin110100010011000111…
…0111011110111101101
3101201220010012120112100
41220212032323313231
53320003003133044
6123332245525313
711054106225060
oct1504616736755
9351803176470
10112310599149
11436a3450491
1219924713839
13a78b113538
1456160108d7
152dc4dae869
hex1a263bbded

112310599149 has 48 divisors (see below), whose sum is σ = 192508617600. Its totient is φ = 61733847168.

The previous prime is 112310599147. The next prime is 112310599153. The reversal of 112310599149 is 941995013211.

It is a happy number.

112310599149 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 10 + 599 + 1 + 49 = 666.

It is not a de Polignac number, because 112310599149 - 21 = 112310599147 is a prime.

It is a super-2 number, since 2×1123105991492 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112310599147) 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 47 ways as a sum of consecutive naturals, for example, 377202 + ... + 605724.

It is an arithmetic number, because the mean of its divisors is an integer number (4010596200).

Almost surely, 2112310599149 is an apocalyptic number.

It is an amenable number.

112310599149 is a deficient number, since it is larger than the sum of its proper divisors (80198018451).

112310599149 is a wasteful number, since it uses less digits than its factorization.

112310599149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228834 (or 228831 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 112310599149 in words is "one hundred twelve billion, three hundred ten million, five hundred ninety-nine thousand, one hundred forty-nine".

Divisors: 1 3 7 9 21 29 63 87 203 261 269 609 807 1827 1883 2421 5649 7801 16947 23403 54607 70209 163821 228523 491463 685569 1599661 2056707 4798983 6627167 14396949 19881501 46390169 59644503 61472687 139170507 184418061 417511521 430308809 553254183 1290926427 1782707923 3872779281 5348123769 12478955461 16044371307 37436866383 112310599149