Search a number
-
+
100211042424 = 23337123791229
BaseRepresentation
bin101110101010100001…
…0110010100001111000
3100120122212202102000210
41131111002302201320
53120213011324144
6114011502231120
710145215543353
oct1352502624170
9316585672023
10100211042424
1139554580429
12175085854a0
1395b0461c0c
144bc90b929a
152917a25ab9
hex17550b2878

100211042424 has 64 divisors (see below), whose sum is σ = 257509447200. Its totient is φ = 32474248704.

The previous prime is 100211042419. The next prime is 100211042453. The reversal of 100211042424 is 424240112001.

It is a self number, because there is not a number n which added to its sum of digits gives 100211042424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052842 + ... + 1144070.

Almost surely, 2100211042424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211042424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128754723600).

100211042424 is an abundant number, since it is smaller than the sum of its proper divisors (157298404776).

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

100211042424 is a wasteful number, since it uses less digits than its factorization.

100211042424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92512 (or 92508 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 100211042424 its reverse (424240112001), we get a palindrome (524451154425).

The spelling of 100211042424 in words is "one hundred billion, two hundred eleven million, forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1237 2474 3711 4948 7422 9896 14844 29688 45769 91229 91538 137307 182458 183076 273687 274614 364916 366152 547374 549228 729832 1094748 1098456 2189496 3375473 6750946 10126419 13501892 20252838 27003784 40505676 81011352 112850273 225700546 338550819 451401092 677101638 902802184 1354203276 2708406552 4175460101 8350920202 12526380303 16701840404 25052760606 33403680808 50105521212 100211042424