Search a number
-
+
1007820103680 = 21332513210299
BaseRepresentation
bin11101010101001101100…
…00100110000000000000
310120100100201022212000200
432222212300212000000
5113003003421304210
62050553002245200
7132545502352065
oct16524660460000
93510321285020
101007820103680
113594611a15a5
121433a4ab6800
1374063473020
1436ac8c82c6c
151b3380790c0
hexeaa6c26000

1007820103680 has 336 divisors, whose sum is σ = 3762316630800. Its totient is φ = 248077615104.

The previous prime is 1007820103679. The next prime is 1007820103681. The reversal of 1007820103680 is 863010287001.

It is an interprime number because it is at equal distance from previous prime (1007820103679) and next prime (1007820103681).

It is a super-2 number, since 2×10078201036802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007820103681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4687171 + ... + 4897469.

It is an arithmetic number, because the mean of its divisors is an integer number (11197370925).

Almost surely, 21007820103680 is an apocalyptic number.

1007820103680 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 1007820103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881158315400).

1007820103680 is an abundant number, since it is smaller than the sum of its proper divisors (2754496527120).

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

1007820103680 is a wasteful number, since it uses less digits than its factorization.

1007820103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210349 (or 210322 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1007820103680 in words is "one trillion, seven billion, eight hundred twenty million, one hundred three thousand, six hundred eighty".