Search a number
-
+
10130010030 = 23257139115679
BaseRepresentation
bin10010110111100101…
…11010111110101110
3222010222101211100200
421123302322332232
5131221240310110
64353105134330
7506013443640
oct113362727656
928128354320
1010130010030
114329143518
121b6862a3a6
13c5590a69a
146c1526890
153e44de6c0
hex25bcbafae

10130010030 has 96 divisors (see below), whose sum is σ = 30317414400. Its totient is φ = 2298753216.

The previous prime is 10130009977. The next prime is 10130010041. The reversal of 10130010030 is 3001003101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10130009994 and 10130010021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29731 + ... + 145409.

It is an arithmetic number, because the mean of its divisors is an integer number (315806400).

Almost surely, 210130010030 is an apocalyptic number.

10130010030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130010030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158707200).

10130010030 is an abundant number, since it is smaller than the sum of its proper divisors (20187404370).

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

10130010030 is a wasteful number, since it uses less digits than its factorization.

10130010030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115838 (or 115835 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10130010030 its reverse (3001003101), we get a palindrome (13131013131).

The spelling of 10130010030 in words is "ten billion, one hundred thirty million, ten thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 139 210 278 315 417 630 695 834 973 1251 1390 1946 2085 2502 2919 4170 4865 5838 6255 8757 9730 12510 14595 17514 29190 43785 87570 115679 231358 347037 578395 694074 809753 1041111 1156790 1619506 1735185 2082222 2429259 3470370 4048765 4858518 5205555 7287777 8097530 10411110 12146295 14575554 16079381 24292590 32158762 36438885 48238143 72877770 80396905 96476286 112555667 144714429 160793810 225111334 241190715 289428858 337667001 482381430 562778335 675334002 723572145 1013001003 1125556670 1447144290 1688335005 2026002006 3376670010 5065005015 10130010030