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111321003234 = 23771179208553
BaseRepresentation
bin110011110101100111…
…1111011010011100010
3101122100011002220010210
41213223033323103202
53310441134100414
6123050135234550
711020431625560
oct1475317732342
9348304086123
10111321003234
1143235893421
12196a9218a56
13a6610a9b1c
145560810a30
152d68085e59
hex19eb3fb4e2

111321003234 has 64 divisors (see below), whose sum is σ = 259474544640. Its totient is φ = 31182695040.

The previous prime is 111321003197. The next prime is 111321003239. The reversal of 111321003234 is 432300123111.

It is a super-2 number, since 2×1113210032342 (a number of 23 digits) contains 22 as substring.

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 111321003234.

It is not an unprimeable number, because it can be changed into a prime (111321003239) 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 31 ways as a sum of consecutive naturals, for example, 429502 + ... + 638054.

It is an arithmetic number, because the mean of its divisors is an integer number (4054289760).

Almost surely, 2111321003234 is an apocalyptic number.

111321003234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111321003234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129737272320).

111321003234 is an abundant number, since it is smaller than the sum of its proper divisors (148153541406).

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

111321003234 is a wasteful number, since it uses less digits than its factorization.

111321003234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208815.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 111321003234 its reverse (432300123111), we get a palindrome (543621126345).

The spelling of 111321003234 in words is "one hundred eleven billion, three hundred twenty-one million, three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 71 142 179 213 358 426 497 537 994 1074 1253 1491 2506 2982 3759 7518 12709 25418 38127 76254 88963 177926 208553 266889 417106 533778 625659 1251318 1459871 2919742 4379613 8759226 14807263 29614526 37330987 44421789 74661974 88843578 103650841 111992961 207301682 223985922 261316909 310952523 522633818 621905046 783950727 1567901454 2650500077 5301000154 7951500231 15903000462 18553500539 37107001078 55660501617 111321003234