Search a number
-
+
112111100322012 = 2232112239126444323
BaseRepresentation
bin11001011111011011100110…
…010011110110000011011100
3112200221201100100020202111100
4121133123212103312003130
5104143312013140301022
61034235043430153100
732420521402262151
oct3137334623660334
9480851310222440
10112111100322012
11327a4061446320
12106a7a707b2790
134a73053c96b2c
141d982c5b98228
15ce64011d41ac
hex65f6e64f60dc

112111100322012 has 72 divisors (see below), whose sum is σ = 309292932049920. Its totient is φ = 33957887116320.

The previous prime is 112111100322007. The next prime is 112111100322017. The reversal of 112111100322012 is 210223001111211.

It is a happy number.

112111100322012 is a `hidden beast` number, since 11 + 211 + 110 + 0 + 322 + 0 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (112111100322007) and next prime (112111100322017).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111100322017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62335518 + ... + 64108805.

It is an arithmetic number, because the mean of its divisors is an integer number (4295735167360).

Almost surely, 2112111100322012 is an apocalyptic number.

112111100322012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112111100322012 is an abundant number, since it is smaller than the sum of its proper divisors (197181831727908).

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

112111100322012 is a wasteful number, since it uses less digits than its factorization.

112111100322012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126446583 (or 126446578 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112111100322012 its reverse (210223001111211), we get a palindrome (322334101433223).

The spelling of 112111100322012 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred million, three hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2239 4478 6717 8956 13434 20151 24629 26868 40302 49258 73887 80604 98516 147774 221661 295548 443322 886644 126444323 252888646 379332969 505777292 758665938 1137998907 1390887553 1517331876 2275997814 2781775106 4172662659 4551995628 5563550212 8345325318 12517987977 16690650636 25035975954 50071951908 283108839197 566217678394 849326517591 1132435356788 1698653035182 2547979552773 3114197231167 3397306070364 5095959105546 6228394462334 9342591693501 10191918211092 12456788924668 18685183387002 28027775080503 37370366774004 56055550161006 112111100322012