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212011200100 = 22527302873143
BaseRepresentation
bin1100010101110011011…
…0100010111001100100
3202021020102110212111101
43011130312202321210
511433144331400400
6241221355445444
721213556316050
oct3053466427144
9667212425441
10212011200100
1181a05882657
123510a156884
1316cb98a587b
14a3933b6c60
1557acba856a
hex315cda2e64

212011200100 has 36 divisors (see below), whose sum is σ = 525787777984. Its totient is φ = 72689554080.

The previous prime is 212011200061. The next prime is 212011200103. The reversal of 212011200100 is 1002110212.

212011200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212011200103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151435872 + ... + 151437271.

Almost surely, 2212011200100 is an apocalyptic number.

212011200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011200100 is an abundant number, since it is smaller than the sum of its proper divisors (313776577884).

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

212011200100 is a wasteful number, since it uses less digits than its factorization.

212011200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302873164 (or 302873157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212011200100 its reverse (1002110212), we get a palindrome (213013310312).

The spelling of 212011200100 in words is "two hundred twelve billion, eleven million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 302873143 605746286 1211492572 1514365715 2120112001 3028731430 4240224002 6057462860 7571828575 8480448004 10600560005 15143657150 21201120010 30287314300 42402240020 53002800025 106005600050 212011200100