Search a number
-
+
32111211122130 = 23571721922835179
BaseRepresentation
bin1110100110100011110010…
…10101010000110111010010
311012200210122111212222001110
413103101321111100313102
513202102230021402010
6152143404200314150
76522646514005110
oct723217125206722
9135623574788043
1032111211122130
11a2603195a4a28
12372744b772956
1314bc0c708a21a
147d0295c06ab0
153aa446385120
hex1d3479550dd2

32111211122130 has 576 divisors, whose sum is σ = 99113755991040. Its totient is φ = 6519997089792.

The previous prime is 32111211122129. The next prime is 32111211122141. The reversal of 32111211122130 is 3122111211123.

It is a super-2 number, since 2×321112111221302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 32111211122097 and 32111211122106.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 6200269881 + ... + 6200275059.

It is an arithmetic number, because the mean of its divisors is an integer number (172072493040).

Almost surely, 232111211122130 is an apocalyptic number.

32111211122130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32111211122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49556877995520).

32111211122130 is an abundant number, since it is smaller than the sum of its proper divisors (67002544868910).

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

32111211122130 is a wasteful number, since it uses less digits than its factorization.

32111211122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5551 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 32111211122130 its reverse (3122111211123), we get a palindrome (35233322333253).

The spelling of 32111211122130 in words is "thirty-two trillion, one hundred eleven billion, two hundred eleven million, one hundred twenty-two thousand, one hundred thirty".