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212133033310 = 251119611663919
BaseRepresentation
bin1100010110010000011…
…1010011010101011110
3202021112220201122020111
43011210013103111132
511433422024031220
6241241431040234
721216566013652
oct3054407232536
9667486648214
10212133033310
1181a68626760
1235142b1007a
1317008bc2023
14a3a564ca62
1557b872215a
hex31641d355e

212133033310 has 64 divisors (see below), whose sum is σ = 445664332800. Its totient is φ = 71881257600.

The previous prime is 212133033289. The next prime is 212133033311. The reversal of 212133033310 is 13330331212.

212133033310 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 2×2121330333102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133033311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 704470 + ... + 959449.

It is an arithmetic number, because the mean of its divisors is an integer number (6963505200).

Almost surely, 2212133033310 is an apocalyptic number.

212133033310 is an abundant number, since it is smaller than the sum of its proper divisors (233531299490).

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

212133033310 is a wasteful number, since it uses less digits than its factorization.

212133033310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664017.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 212133033310 its reverse (13330331212), we get a palindrome (225463364522).

The spelling of 212133033310 in words is "two hundred twelve billion, one hundred thirty-three million, thirty-three thousand, three hundred ten".

Divisors: 1 2 5 10 11 19 22 38 55 61 95 110 122 190 209 305 418 610 671 1045 1159 1342 2090 2318 3355 5795 6710 11590 12749 25498 63745 127490 1663919 3327838 8319595 16639190 18303109 31614461 36606218 63228922 91515545 101499059 158072305 183031090 202998118 316144610 347759071 507495295 695518142 1014990590 1116489649 1738795355 1928482121 2232979298 3477590710 3856964242 5582448245 9642410605 11164896490 19284821210 21213303331 42426606662 106066516655 212133033310