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20231200011000 = 233531110117213527
BaseRepresentation
bin1001001100110011100010…
…11111010111001011111000
32122122002021010001222011010
410212121301133113023320
510122431444200323000
6111010030204433520
74155440665500036
oct446316137271370
978562233058133
1020231200011000
1164a0004a862a0
122328b37b488a0
13b39a42494484
144dd2a3cbb556
152513d7472d50
hex1266717d72f8

20231200011000 has 512 divisors, whose sum is σ = 69601562634240. Its totient is φ = 4851776000000.

The previous prime is 20231200010971. The next prime is 20231200011031. The reversal of 20231200011000 is 11000213202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5736091237 + ... + 5736094763.

It is an arithmetic number, because the mean of its divisors is an integer number (135940552020).

Almost surely, 220231200011000 is an apocalyptic number.

20231200011000 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 20231200011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34800781317120).

20231200011000 is an abundant number, since it is smaller than the sum of its proper divisors (49370362623240).

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

20231200011000 is a wasteful number, since it uses less digits than its factorization.

20231200011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20231200011000 its reverse (11000213202), we get a palindrome (20242200224202).

The spelling of 20231200011000 in words is "twenty trillion, two hundred thirty-one billion, two hundred million, eleven thousand".