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20231232210000 = 2432547233713613
BaseRepresentation
bin1001001100110011100110…
…11010001100010001010000
32122122002100100122211212200
410212121303122030101100
510122432030421210000
6111010033314523200
74155441536254500
oct446316332142120
978562310584780
1020231232210000
1164a0021178939
122328b46896500
13b39a49059336
144dd2a829da00
152513da1d3500
hex12667368c450

20231232210000 has 900 divisors, whose sum is σ = 82553099217732. Its totient is φ = 4610221056000.

The previous prime is 20231232209917. The next prime is 20231232210067. The reversal of 20231232210000 is 1223213202.

20231232210000 is a `hidden beast` number, since 20 + 2 + 312 + 322 + 10 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 20230780562496 + 451647504 = 4497864^2 + 21252^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 1486163194 + ... + 1486176806.

Almost surely, 220231232210000 is an apocalyptic number.

20231232210000 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 20231232210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41276549608866).

20231232210000 is an abundant number, since it is smaller than the sum of its proper divisors (62321867007732).

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

20231232210000 is a wasteful number, since it uses less digits than its factorization.

20231232210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13998 (or 13967 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20231232210000 its reverse (1223213202), we get a palindrome (20232455423202).

The spelling of 20231232210000 in words is "twenty trillion, two hundred thirty-one billion, two hundred thirty-two million, two hundred ten thousand".