Search a number
-
+
23010120000 = 263254723397
BaseRepresentation
bin10101011011100000…
…101001000101000000
32012101121121012121200
4111123200221011000
5334111042320000
614323134421200
71443132535650
oct253340510500
965347535550
1023010120000
1198386817aa
124562061800
1322291c352a
141183da4360
158ea15d500
hex55b829140

23010120000 has 840 divisors, whose sum is σ = 98533159296. Its totient is φ = 5018112000.

The previous prime is 23010119989. The next prime is 23010120013. The reversal of 23010120000 is 2101032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57959802 + ... + 57960198.

Almost surely, 223010120000 is an apocalyptic number.

23010120000 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 23010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49266579648).

23010120000 is an abundant number, since it is smaller than the sum of its proper divisors (75523039296).

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

23010120000 is a wasteful number, since it uses less digits than its factorization.

23010120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 23010120000 its reverse (2101032), we get a palindrome (23012221032).

The spelling of 23010120000 in words is "twenty-three billion, ten million, one hundred twenty thousand".