Search a number
-
+
1002130213320 = 233252337101139233
BaseRepresentation
bin11101001010100111001…
…11011000100111001000
310112210200011210110210200
432211103213120213020
5112404330313311240
62044212224212200
7132254502160335
oct16452347304710
93483604713720
101002130213320
1135700141a775
1214227746a060
13736677047b2
143670931998c
151b10379a930
hexe9539d89c8

1002130213320 has 768 divisors, whose sum is σ = 3565535500800. Its totient is φ = 243424051200.

The previous prime is 1002130213319. The next prime is 1002130213339. The reversal of 1002130213320 is 233120312001.

1002130213320 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 130 + 213 + 320 = 666.

1002130213320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002130213293 and 1002130213302.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4300987924 + ... + 4300988156.

It is an arithmetic number, because the mean of its divisors is an integer number (4642624350).

Almost surely, 21002130213320 is an apocalyptic number.

1002130213320 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 1002130213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782767750400).

1002130213320 is an abundant number, since it is smaller than the sum of its proper divisors (2563405287480).

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

1002130213320 is a wasteful number, since it uses less digits than its factorization.

1002130213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1002130213320 its reverse (233120312001), we get a palindrome (1235250525321).

The spelling of 1002130213320 in words is "one trillion, two billion, one hundred thirty million, two hundred thirteen thousand, three hundred twenty".