Search a number
-
+
100100222012 = 22719118717319
BaseRepresentation
bin101110100111001110…
…0000010110000111100
3100120101011020011000002
41131032130002300330
53120001124101022
6113552503053432
710142401563650
oct1351634026074
9316334204002
10100100222012
11394a7a6940a
1217497441278
1395935002cb
144bb84aca60
15290ce35092
hex174e702c3c

100100222012 has 24 divisors (see below), whose sum is σ = 201248624640. Its totient is φ = 42675485040.

The previous prime is 100100222011. The next prime is 100100222029. The reversal of 100100222012 is 210222001001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100100221984 and 100100222002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100222011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9353312 + ... + 9364007.

It is an arithmetic number, because the mean of its divisors is an integer number (8385359360).

Almost surely, 2100100222012 is an apocalyptic number.

It is an amenable number.

100100222012 is an abundant number, since it is smaller than the sum of its proper divisors (101148402628).

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

100100222012 is a wasteful number, since it uses less digits than its factorization.

100100222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18717521 (or 18717519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100100222012 its reverse (210222001001), we get a palindrome (310322223013).

The spelling of 100100222012 in words is "one hundred billion, one hundred million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 14 28 191 382 764 1337 2674 5348 18717319 37434638 74869276 131021233 262042466 524084932 3575007929 7150015858 14300031716 25025055503 50050111006 100100222012