Search a number
-
+
123002021102000 = 24531725761922741
BaseRepresentation
bin11011111101111010100011…
…110001100100000110110000
3121010111212201100002221010012
4123331322203301210012300
5112110231114400231000
61113334203131354052
734623413514422015
oct3375724361440660
9533455640087105
10123002021102000
113621295628a817
1211966747bb2928
13538306b8b1b01
14225348855570c
15e34871529735
hex6fdea3c641b0

123002021102000 has 320 divisors, whose sum is σ = 316664112735360. Its totient is φ = 46049918976000.

The previous prime is 123002021101867. The next prime is 123002021102003. The reversal of 123002021102000 is 201120200321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (123002021102003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5408810630 + ... + 5408833370.

It is an arithmetic number, because the mean of its divisors is an integer number (989575352298).

Almost surely, 2123002021102000 is an apocalyptic number.

123002021102000 is a gapful number since it is divisible by the number (10) 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 123002021102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158332056367680).

123002021102000 is an abundant number, since it is smaller than the sum of its proper divisors (193662091633360).

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

123002021102000 is a wasteful number, since it uses less digits than its factorization.

123002021102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23657 (or 23641 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 123002021102000 its reverse (201120200321), we get a palindrome (123203141302321).

The spelling of 123002021102000 in words is "one hundred twenty-three trillion, two billion, twenty-one million, one hundred two thousand".