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101321120103000 = 23353717232800241
BaseRepresentation
bin10111000010011010101001…
…010111110011101001011000
3111021202012112001212101012220
4113002122221113303221120
5101240021123221244000
6555254140251304040
730225131544552150
oct2702325127635130
9437665461771186
10101321120103000
112a314055953346
12b44486614b020
13446c7049b6c45
141b03d7b335760
15baa8dc9681a0
hex5c26a95f3a58

101321120103000 has 256 divisors, whose sum is σ = 361491976535040. Its totient is φ = 23145663744000.

The previous prime is 101321120102921. The next prime is 101321120103011. The reversal of 101321120103000 is 301021123101.

It is a happy number.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34782880 + ... + 37583120.

It is an arithmetic number, because the mean of its divisors is an integer number (1412078033340).

Almost surely, 2101321120103000 is an apocalyptic number.

101321120103000 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 101321120103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180745988267520).

101321120103000 is an abundant number, since it is smaller than the sum of its proper divisors (260170856432040).

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

101321120103000 is a wasteful number, since it uses less digits than its factorization.

101321120103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801995 (or 2801981 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101321120103000 its reverse (301021123101), we get a palindrome (101622141226101).

The spelling of 101321120103000 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred twenty million, one hundred three thousand".