Search a number
-
+
100200222312 = 23341443100741
BaseRepresentation
bin101110101010001100…
…1100000111001101000
3100120122010101200121220
41131110121200321220
53120202224103222
6114010434302040
710145024560011
oct1352431407150
9316563350556
10100200222312
1139549460093
1217504a27920
1395ab143c98
144bc78a0008
152916ad9b5c
hex1754660e68

100200222312 has 32 divisors (see below), whose sum is σ = 250509086880. Its totient is φ = 33398936640.

The previous prime is 100200222307. The next prime is 100200222319. The reversal of 100200222312 is 213222002001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100200222291 and 100200222300.

It is not an unprimeable number, because it can be changed into a prime (100200222319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 944262 + ... + 1045002.

It is an arithmetic number, because the mean of its divisors is an integer number (7828408965).

Almost surely, 2100200222312 is an apocalyptic number.

100200222312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100200222312 is an abundant number, since it is smaller than the sum of its proper divisors (150308864568).

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

100200222312 is a wasteful number, since it uses less digits than its factorization.

100200222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142193 (or 142189 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100200222312 its reverse (213222002001), we get a palindrome (313422224313).

The spelling of 100200222312 in words is "one hundred billion, two hundred million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41443 82886 100741 124329 165772 201482 248658 302223 331544 402964 497316 604446 805928 994632 1208892 2417784 4175009263 8350018526 12525027789 16700037052 25050055578 33400074104 50100111156 100200222312