Search a number
-
+
13100230323000 = 23325337313125687
BaseRepresentation
bin1011111010100010001010…
…0100110010101100111000
31201101100222120112111021200
42332220202210302230320
53204113232430314000
643510055052134200
72521313630316462
oct276504244625470
951340876474250
1013100230323000
1141a085a549987
121576ab4767360
1374046710b152
143340a98bd132
1517ab78c1a500
hexbea22932b38

13100230323000 has 384 divisors, whose sum is σ = 45621154350720. Its totient is φ = 3388092364800.

The previous prime is 13100230322941. The next prime is 13100230323013. The reversal of 13100230323000 is 32303200131.

13100230323000 is a `hidden beast` number, since 1 + 3 + 100 + 230 + 32 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104166157 + ... + 104291843.

It is an arithmetic number, because the mean of its divisors is an integer number (118805089455).

Almost surely, 213100230323000 is an apocalyptic number.

13100230323000 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 13100230323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22810577175360).

13100230323000 is an abundant number, since it is smaller than the sum of its proper divisors (32520924027720).

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

13100230323000 is a wasteful number, since it uses less digits than its factorization.

13100230323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126064 (or 126047 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13100230323000 its reverse (32303200131), we get a palindrome (13132533523131).

The spelling of 13100230323000 in words is "thirteen trillion, one hundred billion, two hundred thirty million, three hundred twenty-three thousand".