Search a number
-
+
112031331030 = 23251816877307
BaseRepresentation
bin110100001010110010…
…1100111001011010110
3101201011122201021200200
41220111211213023112
53313420010043110
6123244432121330
711044145413233
oct1502545471326
9351148637620
10112031331030
114356a847193
1219867096246
13a7452c4028
1455cacb678a
152daa5e86c0
hex1a159672d6

112031331030 has 48 divisors (see below), whose sum is σ = 292890793104. Its totient is φ = 29709961920.

The previous prime is 112031331029. The next prime is 112031331037. The reversal of 112031331030 is 30133130211.

It is a happy number.

112031331030 is a `hidden beast` number, since 1 + 12 + 0 + 313 + 310 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112031330994 and 112031331012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112031331037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3422364 + ... + 3454943.

It is an arithmetic number, because the mean of its divisors is an integer number (6101891523).

Almost surely, 2112031331030 is an apocalyptic number.

112031331030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112031331030 is an abundant number, since it is smaller than the sum of its proper divisors (180859462074).

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

112031331030 is a wasteful number, since it uses less digits than its factorization.

112031331030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877501 (or 6877498 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 112031331030 its reverse (30133130211), we get a palindrome (142164461241).

The spelling of 112031331030 in words is "one hundred twelve billion, thirty-one million, three hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 8145 16290 6877307 13754614 20631921 34386535 41263842 61895763 68773070 103159605 123791526 206319210 309478815 618957630 1244792567 2489585134 3734377701 6223962835 7468755402 11203133103 12447925670 18671888505 22406266206 37343777010 56015665515 112031331030