Search a number
-
+
211212202100202 = 232311399270562181
BaseRepresentation
bin110000000001100010101100…
…010001110100010111101010
31000200211200121111222100002100
4300001202230101310113222
5210141000042214201302
62025113313544314230
762326402156554252
oct6001425421642752
91020750544870070
10211212202100202
1161331656881996
121b83240b172976
1390b12c09a7b24
143a22a21a66962
1519641aa05ed1c
hexc018ac4745ea

211212202100202 has 48 divisors (see below), whose sum is σ = 472726244390400. Its totient is φ = 68084266975200.

The previous prime is 211212202100167. The next prime is 211212202100203. The reversal of 211212202100202 is 202001202212112.

It is a happy number.

211212202100202 is a `hidden beast` number, since 2 + 11 + 21 + 220 + 210 + 0 + 202 = 666.

It is a super-2 number, since 2×2112122021002022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211212202100203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134500449 + ... + 136061732.

It is an arithmetic number, because the mean of its divisors is an integer number (9848463424800).

Almost surely, 2211212202100202 is an apocalyptic number.

211212202100202 is an abundant number, since it is smaller than the sum of its proper divisors (261514042290198).

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

211212202100202 is a wasteful number, since it uses less digits than its factorization.

211212202100202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270563619 (or 270563616 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211212202100202 its reverse (202001202212112), we get a palindrome (413213404312314).

The spelling of 211212202100202 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred two million, one hundred thousand, two hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1399 2798 4197 8394 12591 25182 43369 86738 130107 260214 390321 780642 270562181 541124362 811686543 1623373086 2435059629 4870119258 8387427611 16774855222 25162282833 50324565666 75486848499 150973696998 378516491219 757032982438 1135549473657 2271098947314 3406648420971 6813296841942 11734011227789 23468022455578 35202033683367 70404067366734 105606101050101 211212202100202