Search a number
-
+
111205255872 = 26337127123259
BaseRepresentation
bin110011110010001011…
…0011000101011000000
3101122001002022022121110
41213210112120223000
53310222021141442
6123030442323320
711014525035654
oct1474426305300
9348032268543
10111205255872
1143186516747
12196764b9540
13a643111769
14554d2c0a64
152d5cd2069c
hex19e4598ac0

111205255872 has 112 divisors (see below), whose sum is σ = 304564613120. Its totient is φ = 35782290432.

The previous prime is 111205255867. The next prime is 111205255943. The reversal of 111205255872 is 278552502111.

It is a happy number.

111205255872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 111205255872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840579 + ... + 963837.

Almost surely, 2111205255872 is an apocalyptic number.

111205255872 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 111205255872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152282306560).

111205255872 is an abundant number, since it is smaller than the sum of its proper divisors (193359357248).

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

111205255872 is a wasteful number, since it uses less digits than its factorization.

111205255872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123438 (or 123428 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 39.

Adding to 111205255872 its reverse (278552502111), we get a palindrome (389757757983).

The spelling of 111205255872 in words is "one hundred eleven billion, two hundred five million, two hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 127 148 192 222 254 296 381 444 508 592 762 888 1016 1184 1524 1776 2032 2368 3048 3552 4064 4699 6096 7104 8128 9398 12192 14097 18796 24384 28194 37592 56388 75184 112776 123259 150368 225552 246518 300736 369777 451104 493036 739554 902208 986072 1479108 1972144 2958216 3944288 4560583 5916432 7888576 9121166 11832864 13681749 15653893 18242332 23665728 27363498 31307786 36484664 46961679 54726996 62615572 72969328 93923358 109453992 125231144 145938656 187846716 218907984 250462288 291877312 375693432 437815968 500924576 579194041 751386864 875631936 1001849152 1158388082 1502773728 1737582123 2316776164 3005547456 3475164246 4633552328 6950328492 9267104656 13900656984 18534209312 27801313968 37068418624 55602627936 111205255872