Search a number
-
+
100121120002212 = 22337387915813153
BaseRepresentation
bin10110110000111101000011…
…110010101101000010100100
3111010111111002222222010222120
4112300331003302231002210
5101110341023210032322
6552535001344425540
730042340455156231
oct2660750362550244
9433444088863876
10100121120002212
11299a11460a8561
12b2901886182b0
1343b34c53953ca
141aa1c60bc2788
15b895a7c5ca5c
hex5b0f43cad0a4

100121120002212 has 48 divisors (see below), whose sum is σ = 239936117645952. Its totient is φ = 32470871915520.

The previous prime is 100121120002147. The next prime is 100121120002219. The reversal of 100121120002212 is 212200021121001.

It is a junction number, because it is equal to n+sod(n) for n = 100121120002191 and 100121120002200.

It is not an unprimeable number, because it can be changed into a prime (100121120002219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14316628 + ... + 20129780.

It is an arithmetic number, because the mean of its divisors is an integer number (4998669117624).

Almost surely, 2100121120002212 is an apocalyptic number.

100121120002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121120002212 is an abundant number, since it is smaller than the sum of its proper divisors (139814997643740).

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

100121120002212 is a wasteful number, since it uses less digits than its factorization.

100121120002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851988 (or 5851986 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100121120002212 its reverse (212200021121001), we get a palindrome (312321141123213).

The spelling of 100121120002212 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 38791 77582 116373 155164 232746 465492 1435267 2870534 4305801 5741068 5813153 8611602 11626306 17223204 17439459 23252612 34878918 69757836 215086661 430173322 645259983 860346644 1290519966 2581039932 225498018023 450996036046 676494054069 901992072092 1352988108138 2705976216276 8343426666851 16686853333702 25030280000553 33373706667404 50060560001106 100121120002212