Search a number
-
+
20000231112120 = 23357243170911131
BaseRepresentation
bin1001000110000101010101…
…01010111011110110111000
32121211000002111100012212220
410203002222222323312320
510110140433131041440
6110311551311404040
74132653241316100
oct443025252736670
977730074305786
1020000231112120
11641106106aa96
1222b0218b23620
13b2102414227c
144d2032c1c200
1524a3ba2d88d0
hex1230aaabbdb8

20000231112120 has 384 divisors, whose sum is σ = 70063632460800. Its totient is φ = 4554032716800.

The previous prime is 20000231112053. The next prime is 20000231112203. The reversal of 20000231112120 is 2121113200002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20000231112120.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1796798955 + ... + 1796810085.

It is an arithmetic number, because the mean of its divisors is an integer number (182457376200).

Almost surely, 220000231112120 is an apocalyptic number.

20000231112120 is a gapful number since it is divisible by the number (20) 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 20000231112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35031816230400).

20000231112120 is an abundant number, since it is smaller than the sum of its proper divisors (50063401348680).

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

20000231112120 is a wasteful number, since it uses less digits than its factorization.

20000231112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12299 (or 12288 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20000231112120 its reverse (2121113200002), we get a palindrome (22121344312122).

The spelling of 20000231112120 in words is "twenty trillion, two hundred thirty-one million, one hundred twelve thousand, one hundred twenty".