Search a number
-
+
124035334332 = 223713863131617
BaseRepresentation
bin111001110000100010…
…1010000000010111100
3102212011020100211112120
41303201011100002330
54013011021144312
6132551523402540
711650465642350
oct1634105200274
9385136324476
10124035334332
114866a792578
1220057223450
13b90922aa70
146009257460
15335e3aa28c
hex1ce11500bc

124035334332 has 96 divisors (see below), whose sum is σ = 356619497472. Its totient is φ = 32674461696.

The previous prime is 124035334277. The next prime is 124035334333. The reversal of 124035334332 is 233433530421.

It is a junction number, because it is equal to n+sod(n) for n = 124035334293 and 124035334302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124035334333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876588 + ... + 1008204.

It is an arithmetic number, because the mean of its divisors is an integer number (3714786432).

Almost surely, 2124035334332 is an apocalyptic number.

124035334332 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 124035334332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178309748736).

124035334332 is an abundant number, since it is smaller than the sum of its proper divisors (232584163140).

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

124035334332 is a wasteful number, since it uses less digits than its factorization.

124035334332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132507 (or 132505 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

Adding to 124035334332 its reverse (233433530421), we get a palindrome (357468864753).

The spelling of 124035334332 in words is "one hundred twenty-four billion, thirty-five million, three hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 863 1092 1726 2589 3452 5178 6041 10356 11219 12082 18123 22438 24164 33657 36246 44876 67314 72492 78533 131617 134628 157066 235599 263234 314132 394851 471198 526468 789702 921319 942396 1579404 1711021 1842638 2763957 3422042 3685276 5133063 5527914 6844084 10266126 11055828 11977147 20532252 23954294 35931441 47908588 71862882 113585471 143725764 227170942 340756413 454341884 681512826 795098297 1363025652 1476611123 1590196594 2385294891 2953222246 3180393188 4429833369 4770589782 5906444492 8859666738 9541179564 10336277861 17719333476 20672555722 31008833583 41345111444 62017667166 124035334332