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118116012 = 22374353617
BaseRepresentation
bin1110000101001…
…00111010101100
322020020220201010
413002210322230
5220214203022
615415345220
72632653360
oct702447254
9266226633
10118116012
1160745343
1233682210
131b617541
14119892a0
15a58250c
hex70a4eac

118116012 has 96 divisors (see below), whose sum is σ = 328914432. Its totient is φ = 32288256.

The previous prime is 118116001. The next prime is 118116013. The reversal of 118116012 is 210611811.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 118116012.

It is not an unprimeable number, because it can be changed into a prime (118116013) 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 31 ways as a sum of consecutive naturals, for example, 191128 + ... + 191744.

It is an arithmetic number, because the mean of its divisors is an integer number (3426192).

Almost surely, 2118116012 is an apocalyptic number.

118116012 is a gapful number since it is divisible by the number (12) 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 118116012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164457216).

118116012 is an abundant number, since it is smaller than the sum of its proper divisors (210798420).

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

118116012 is a wasteful number, since it uses less digits than its factorization.

118116012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

The square root of 118116012 is about 10868.1190644932. The cubic root of 118116012 is about 490.6475016226.

Adding to 118116012 its reverse (210611811), we get a palindrome (328727823).

The spelling of 118116012 in words is "one hundred eighteen million, one hundred sixteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 53 84 86 106 129 159 172 212 258 301 318 371 516 602 617 636 742 903 1113 1204 1234 1484 1806 1851 2226 2279 2468 3612 3702 4319 4452 4558 6837 7404 8638 9116 12957 13674 15953 17276 25914 26531 27348 31906 32701 47859 51828 53062 63812 65402 79593 95718 98103 106124 130804 159186 185717 191436 196206 228907 318372 371434 392412 457814 557151 686721 742868 915628 1114302 1373442 1406143 2228604 2746884 2812286 4218429 5624572 8436858 9843001 16873716 19686002 29529003 39372004 59058006 118116012