Search a number
-
+
212011111200144 = 2435749397682377
BaseRepresentation
bin110000001101001010101110…
…111110001011010110010000
31000210200001201212101121112010
4300031022232332023112100
5210242042223431401034
62030524320535102520
762441203656063534
oct6015125676132620
91023601655347463
10212011111200144
116160a453177293
121b941210211a40
13913b73c93b7b9
143a4d56d17bbc4
151979d676b73e9
hexc0d2aef8b590

212011111200144 has 40 divisors (see below), whose sum is σ = 547696394507680. Its totient is φ = 70670238283008.

The previous prime is 212011111200143. The next prime is 212011111200263. The reversal of 212011111200144 is 441002111110212.

It is a super-2 number, since 2×2120111112001442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212011111200144.

It is not an unprimeable number, because it can be changed into a prime (212011111200143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23755884 + ... + 31438260.

It is an arithmetic number, because the mean of its divisors is an integer number (13692409862692).

Almost surely, 2212011111200144 is an apocalyptic number.

212011111200144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212011111200144 is an abundant number, since it is smaller than the sum of its proper divisors (335685283307536).

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

212011111200144 is a wasteful number, since it uses less digits than its factorization.

212011111200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257327 (or 8257321 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 212011111200144 its reverse (441002111110212), we get a palindrome (653013222310356).

The spelling of 212011111200144 in words is "two hundred twelve trillion, eleven billion, one hundred eleven million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 574939 1149878 1724817 2299756 3449634 4599512 6899268 7682377 9199024 13798536 15364754 23047131 27597072 30729508 46094262 61459016 92188524 122918032 184377048 368754096 4416898150003 8833796300006 13250694450009 17667592600012 26501388900018 35335185200024 53002777800036 70670370400048 106005555600072 212011111200144