Search a number
-
+
23120130000 = 243541170061
BaseRepresentation
bin10101100010000100…
…010010111111010000
32012200021121021222010
4111202010102333100
5334322223130000
614342104342520
71445636601552
oct254204227720
965607537863
1023120130000
11989478a960
124592a74a40
132245c302c6
14119483d4d2
15904b3dd50
hex562112fd0

23120130000 has 200 divisors, whose sum is σ = 81421011936. Its totient is φ = 5604800000.

The previous prime is 23120129987. The next prime is 23120130013. The reversal of 23120130000 is 3102132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23120129987) and next prime (23120130013).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×231201300002 (a number of 22 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 294970 + ... + 365030.

Almost surely, 223120130000 is an apocalyptic number.

23120130000 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 23120130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40710505968).

23120130000 is an abundant number, since it is smaller than the sum of its proper divisors (58300881936).

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

23120130000 is a wasteful number, since it uses less digits than its factorization.

23120130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70103 (or 70082 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 23120130000 its reverse (3102132), we get a palindrome (23123232132).

The spelling of 23120130000 in words is "twenty-three billion, one hundred twenty million, one hundred thirty thousand".