Search a number
-
+
212210020110120 = 23351768416834251
BaseRepresentation
bin110000010000000011111110…
…110111011100111100101000
31000211101002011011121011212220
4300100003332313130330220
5210303322110122010440
62031155534251234040
762461445060654214
oct6020037667347450
91024332134534786
10212210020110120
116168684505939a
121b973882448920
13915441bba9676
143a5903c39d944
151980109e658d0
hexc100feddcf28

212210020110120 has 32 divisors (see below), whose sum is σ = 636630060330720. Its totient is φ = 56589338696000.

The previous prime is 212210020110079. The next prime is 212210020110139. The reversal of 212210020110120 is 21011020012212.

212210020110120 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212210020110120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884208417006 + ... + 884208417245.

It is an arithmetic number, because the mean of its divisors is an integer number (19894689385335).

Almost surely, 2212210020110120 is an apocalyptic number.

212210020110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210020110120 is an abundant number, since it is smaller than the sum of its proper divisors (424420040220600).

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

212210020110120 is a wasteful number, since it uses less digits than its factorization.

212210020110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768416834265 (or 1768416834261 counting only the distinct ones).

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

Adding to 212210020110120 its reverse (21011020012212), we get a palindrome (233221040122332).

The spelling of 212210020110120 in words is "two hundred twelve trillion, two hundred ten billion, twenty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1768416834251 3536833668502 5305250502753 7073667337004 8842084171255 10610501005506 14147334674008 17684168342510 21221002011012 26526252513765 35368336685020 42442004022024 53052505027530 70736673370040 106105010055060 212210020110120