Search a number
-
+
100010112012 = 223219011461367
BaseRepresentation
bin101110100100100010…
…0010011010000001100
3100120010212200002022200
41131021010103100030
53114310042041022
6113535523441500
710140225632406
oct1351104232014
9316125602280
10100010112012
1139461112438
1217471226290
13957a940295
144baa533b76
152905085bac
hex174911340c

100010112012 has 36 divisors (see below), whose sum is σ = 252936496176. Its totient is φ = 33319144800.

The previous prime is 100010112001. The next prime is 100010112049. The reversal of 100010112012 is 210211010001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100010111985 and 100010112003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 662248 + ... + 799119.

Almost surely, 2100010112012 is an apocalyptic number.

100010112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100010112012 is an abundant number, since it is smaller than the sum of its proper divisors (152926384164).

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

100010112012 is a wasteful number, since it uses less digits than its factorization.

100010112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463278 (or 1463273 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100010112012 its reverse (210211010001), we get a palindrome (310221122013).

The spelling of 100010112012 in words is "one hundred billion, ten million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1901 3802 5703 7604 11406 17109 22812 34218 68436 1461367 2922734 4384101 5845468 8768202 13152303 17536404 26304606 52609212 2778058667 5556117334 8334176001 11112234668 16668352002 25002528003 33336704004 50005056006 100010112012