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211355500551012 = 223213217444199601
BaseRepresentation
bin110000000011101000001001…
…100010000001101101100100
31000201100101111020021212201100
4300003220021202001231210
5210200322031120113022
62025303213155400100
762342634222364236
oct6003501142015544
91021311436255640
10211355500551012
1161387401041a34
121b8561415b3030
1390c1979a28c5c
143a2993738a256
151967c9562a1ac
hexc03a09881b64

211355500551012 has 36 divisors (see below), whose sum is σ = 534300160870476. Its totient is φ = 70446502963200.

The previous prime is 211355500550923. The next prime is 211355500551059. The reversal of 211355500551012 is 210155005553112.

211355500551012 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 55 + 50 + 0 + 551 + 0 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30206081952036 + 181149418598976 = 5496006^2 + 13459176^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2113555005510122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221623989 + ... + 222575612.

It is an arithmetic number, because the mean of its divisors is an integer number (14841671135291).

Almost surely, 2211355500551012 is an apocalyptic number.

It is an amenable number.

211355500551012 is an abundant number, since it is smaller than the sum of its proper divisors (322944660319464).

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

211355500551012 is a wasteful number, since it uses less digits than its factorization.

211355500551012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444212828 (or 444212823 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 36.

The spelling of 211355500551012 in words is "two hundred eleven trillion, three hundred fifty-five billion, five hundred million, five hundred fifty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 13217 26434 39651 52868 79302 118953 158604 237906 475812 444199601 888399202 1332598803 1776798404 2665197606 3997796409 5330395212 7995592818 15991185636 5870986126417 11741972252834 17612958379251 23483944505668 35225916758502 52838875137753 70451833517004 105677750275506 211355500551012