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231221102220 = 223251284561679
BaseRepresentation
bin1101011101010111011…
…0100000011010001100
3211002211012022000012200
43113111312200122030
512242020100232340
6254115502401500
722463605640433
oct3272566403214
9732735260180
10231221102220
118a073314419
123898b590290
1318a5b686764
14b29679011a
1560343a6330
hex35d5da068c

231221102220 has 36 divisors (see below), whose sum is σ = 701370677280. Its totient is φ = 61658960544.

The previous prime is 231221102201. The next prime is 231221102309. The reversal of 231221102220 is 22201122132.

231221102220 is a `hidden beast` number, since 231 + 2 + 211 + 0 + 2 + 220 = 666.

231221102220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2312211022202 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 231221102193 and 231221102202.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 642280660 + ... + 642281019.

Almost surely, 2231221102220 is an apocalyptic number.

231221102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231221102220 is an abundant number, since it is smaller than the sum of its proper divisors (470149575060).

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

231221102220 is a wasteful number, since it uses less digits than its factorization.

231221102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284561694 (or 1284561689 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 231221102220 its reverse (22201122132), we get a palindrome (253422224352).

The spelling of 231221102220 in words is "two hundred thirty-one billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1284561679 2569123358 3853685037 5138246716 6422808395 7707370074 11561055111 12845616790 15414740148 19268425185 23122110222 25691233580 38536850370 46244220444 57805275555 77073700740 115610551110 231221102220