Search a number
-
+
1015130420304 = 24371113412512053
BaseRepresentation
bin11101100010110100111…
…11001111010001010000
310121001020011222102012020
432301122133033101100
5113112441341422204
62054202223531440
7133224610126410
oct16613237172120
93531204872166
101015130420304
11361572726690
121448a5159b80
1374959b49770
14371bdada640
151b614c3dbd9
hexec5a7cf450

1015130420304 has 640 divisors, whose sum is σ = 3623024111616. Its totient is φ = 236390400000.

The previous prime is 1015130420303. The next prime is 1015130420327. The reversal of 1015130420304 is 4030240315101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1015130420303) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 494460942 + ... + 494462994.

Almost surely, 21015130420304 is an apocalyptic number.

1015130420304 is a gapful number since it is divisible by the number (14) 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 1015130420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811512055808).

1015130420304 is an abundant number, since it is smaller than the sum of its proper divisors (2607893691312).

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

1015130420304 is a wasteful number, since it uses less digits than its factorization.

1015130420304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1015130420304 its reverse (4030240315101), we get a palindrome (5045370735405).

The spelling of 1015130420304 in words is "one trillion, fifteen billion, one hundred thirty million, four hundred twenty thousand, three hundred four".