Search a number
-
+
10103761230000 = 24354615521181
BaseRepresentation
bin1001001100000111011100…
…0110010101100010110000
31022202220120111021212122220
42103001313012111202300
52311020000333330000
633253334232201040
72061654423266034
oct223016706254260
938686514255586
1010103761230000
113245a8789a969
121172215239180
13583a1bc79639
1426d04b90c1c4
15127c4e48b1a0
hex930771958b0

10103761230000 has 200 divisors, whose sum is σ = 33150987675696. Its totient is φ = 2650166400000.

The previous prime is 10103761229993. The next prime is 10103761230007. The reversal of 10103761230000 is 3216730101.

It is an interprime number because it is at equal distance from previous prime (10103761229993) and next prime (10103761230007).

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

It is a super-2 number, since 2×101037612300002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10103761230007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 930591 + ... + 4590590.

Almost surely, 210103761230000 is an apocalyptic number.

10103761230000 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 10103761230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16575493837848).

10103761230000 is an abundant number, since it is smaller than the sum of its proper divisors (23047226445696).

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

10103761230000 is an equidigital number, since it uses as much as digits as its factorization.

10103761230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5521273 (or 5521252 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

Adding to 10103761230000 its reverse (3216730101), we get a palindrome (10106977960101).

The spelling of 10103761230000 in words is "ten trillion, one hundred three billion, seven hundred sixty-one million, two hundred thirty thousand".