Search a number
-
+
211212102120 = 23351760100851
BaseRepresentation
bin1100010010110100111…
…0001110100111101000
3202012011201211111010220
43010231032032213220
511430030244231440
6241010212210040
721155014150245
oct3045516164750
9665151744126
10211212102120
11816357a84a8
1234b26609920
1316bc017a426
14a3192045cc
15576295d8d0
hex312d38e9e8

211212102120 has 32 divisors (see below), whose sum is σ = 633636306720. Its totient is φ = 56323227200.

The previous prime is 211212102109. The next prime is 211212102133. The reversal of 211212102120 is 21201212112.

211212102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112121021202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211212102120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 880050306 + ... + 880050545.

It is an arithmetic number, because the mean of its divisors is an integer number (19801134585).

Almost surely, 2211212102120 is an apocalyptic number.

211212102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212102120 is an abundant number, since it is smaller than the sum of its proper divisors (422424204600).

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

211212102120 is a wasteful number, since it uses less digits than its factorization.

211212102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760100865 (or 1760100861 counting only the distinct ones).

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

Adding to 211212102120 its reverse (21201212112), we get a palindrome (232413314232).

The spelling of 211212102120 in words is "two hundred eleven billion, two hundred twelve million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1760100851 3520201702 5280302553 7040403404 8800504255 10560605106 14080806808 17601008510 21121210212 26401512765 35202017020 42242420424 52803025530 70404034040 105606051060 211212102120