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20231133201000 = 23325323113864911
BaseRepresentation
bin1001001100110011011011…
…00000100000001001101000
32122122002002110100200001200
410212121231200200021220
510122431330044413000
6111010015420444200
74155436224560511
oct446315540401150
978562073320050
1020231133201000
11649aa802a3a17
122328b196a9660
13b39a316a1927
144dd299089a08
152513d1677500
hex12666d820268

20231133201000 has 384 divisors, whose sum is σ = 71985864637440. Its totient is φ = 5114731776000.

The previous prime is 20231133200953. The next prime is 20231133201049. The reversal of 20231133201000 is 10233113202.

20231133201000 is a `hidden beast` number, since 2 + 0 + 231 + 1 + 332 + 0 + 100 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22958545 + ... + 23823455.

It is an arithmetic number, because the mean of its divisors is an integer number (187463189160).

Almost surely, 220231133201000 is an apocalyptic number.

20231133201000 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 20231133201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35992932318720).

20231133201000 is an abundant number, since it is smaller than the sum of its proper divisors (51754731436440).

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

20231133201000 is a wasteful number, since it uses less digits than its factorization.

20231133201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865074 (or 865057 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20231133201000 its reverse (10233113202), we get a palindrome (20241366314202).

The spelling of 20231133201000 in words is "twenty trillion, two hundred thirty-one billion, one hundred thirty-three million, two hundred one thousand".