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2231011023000 = 233534127166931
BaseRepresentation
bin100000011101110010100…
…111101001100010011000
321220021121222211201122220
4200131302213221202120
5243023102310214000
64424525020544040
7320120350541604
oct40356247514230
97807558751586
102231011023000
11790191618611
123004750b2020
131324ca544ba6
1479da5396504
153d078bd81a0
hex207729e9898

2231011023000 has 256 divisors, whose sum is σ = 7156947732480. Its totient is φ = 578275200000.

The previous prime is 2231011022923. The next prime is 2231011023011. The reversal of 2231011023000 is 3201101322.

It is a super-3 number, since 3×22310110230003 (a number of 38 digits) contains 333 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 33299535 + ... + 33366465.

It is an arithmetic number, because the mean of its divisors is an integer number (27956827080).

Almost surely, 22231011023000 is an apocalyptic number.

2231011023000 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 2231011023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578473866240).

2231011023000 is an abundant number, since it is smaller than the sum of its proper divisors (4925936709480).

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

2231011023000 is a wasteful number, since it uses less digits than its factorization.

2231011023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67267 (or 67253 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2231011023000 its reverse (3201101322), we get a palindrome (2234212124322).

The spelling of 2231011023000 in words is "two trillion, two hundred thirty-one billion, eleven million, twenty-three thousand".