Search a number
-
+
10010311130322 = 233793077643431
BaseRepresentation
bin1001000110101011010100…
…0010011111110011010010
31022102222100210102221112000
42101222311002133303102
52303002104122132242
633142401244214430
72052135561453606
oct221526502376322
938388323387460
1010010311130322
11320a392734928
121158094b3a416
13577c7843c979
14268704721506
151255d02aca4c
hex91ab509fcd2

10010311130322 has 64 divisors (see below), whose sum is σ = 22600099737600. Its totient is φ = 3283800970320.

The previous prime is 10010311130293. The next prime is 10010311130329. The reversal of 10010311130322 is 22303111301001.

10010311130322 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 311 + 1 + 30 + 322 = 666.

10010311130322 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 = 10010311130295 and 10010311130304.

It is not an unprimeable number, because it can be changed into a prime (10010311130329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2512054 + ... + 5131377.

It is an arithmetic number, because the mean of its divisors is an integer number (353126558400).

Almost surely, 210010311130322 is an apocalyptic number.

10010311130322 is an abundant number, since it is smaller than the sum of its proper divisors (12589788607278).

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

10010311130322 is a wasteful number, since it uses less digits than its factorization.

10010311130322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7643828 (or 7643822 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10010311130322 its reverse (22303111301001), we get a palindrome (32313422431323).

The spelling of 10010311130322 in words is "ten trillion, ten billion, three hundred eleven million, one hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 307 474 614 711 921 1422 1842 2133 2763 4266 5526 8289 16578 24253 48506 72759 145518 218277 436554 654831 1309662 7643431 15286862 22930293 45860586 68790879 137581758 206372637 412745274 603831049 1207662098 1811493147 2346533317 3622986294 4693066634 5434479441 7039599951 10868958882 14079199902 16303438323 21118799853 32606876646 42237599706 63356399559 126712799118 185376132043 370752264086 556128396129 1112256792258 1668385188387 3336770376774 5005155565161 10010311130322