Search a number
-
+
32113112131020 = 22356797119369031
BaseRepresentation
bin1110100110100111010101…
…01001000010010111001100
311012200222112222222020000010
413103103222221002113030
513202120123201143040
6152144320545433220
76523044566216064
oct723235251022714
9135628488866003
1032113112131020
11a26110467a058
1237278a033b810
1314bc33ab8505b
147d03d64943a4
153aa5081e1e80
hex1d34eaa425cc

32113112131020 has 192 divisors, whose sum is σ = 92278186914816. Its totient is φ = 8341598453760.

The previous prime is 32113112131007. The next prime is 32113112131027. The reversal of 32113112131020 is 2013121131123.

It is not an unprimeable number, because it can be changed into a prime (32113112131027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465163905 + ... + 465232935.

It is an arithmetic number, because the mean of its divisors is an integer number (480615556848).

Almost surely, 232113112131020 is an apocalyptic number.

32113112131020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32113112131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46139093457408).

32113112131020 is an abundant number, since it is smaller than the sum of its proper divisors (60165074783796).

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

32113112131020 is a wasteful number, since it uses less digits than its factorization.

32113112131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70400 (or 70398 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 32113112131020 its reverse (2013121131123), we get a palindrome (34126233262143).

The spelling of 32113112131020 in words is "thirty-two trillion, one hundred thirteen billion, one hundred twelve million, one hundred thirty-one thousand, twenty".