Search a number
-
+
10130314040322 = 2371276592881937
BaseRepresentation
bin1001001101101010010111…
…0001010001010000000010
31022212110010000002101210020
42103122211301101100002
52311433340343242242
633313445123114310
72063614424406150
oct223324561212002
938773100071706
1010130314040322
1132562731a7303
1211773a5812996
13586391105718
1427044a1c43d0
151287a563a6ec
hex936a5c51402

10130314040322 has 64 divisors (see below), whose sum is σ = 23372747735040. Its totient is φ = 2867226598656.

The previous prime is 10130314040309. The next prime is 10130314040411. The reversal of 10130314040322 is 22304041303101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10130314040292 and 10130314040301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2074138 + ... + 4956074.

It is an arithmetic number, because the mean of its divisors is an integer number (365199183360).

Almost surely, 210130314040322 is an apocalyptic number.

10130314040322 is an abundant number, since it is smaller than the sum of its proper divisors (13242433694718).

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

10130314040322 is a wasteful number, since it uses less digits than its factorization.

10130314040322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882735.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10130314040322 its reverse (22304041303101), we get a palindrome (32434355343423).

The spelling of 10130314040322 in words is "ten trillion, one hundred thirty billion, three hundred fourteen million, forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 127 254 381 659 762 889 1318 1778 1977 2667 3954 4613 5334 9226 13839 27678 83693 167386 251079 502158 585851 1171702 1757553 2881937 3515106 5763874 8645811 17291622 20173559 40347118 60520677 121041354 366005999 732011998 1098017997 1899196483 2196035994 2562041993 3798392966 5124083986 5697589449 7686125979 11395178898 13294375381 15372251958 26588750762 39883126143 79766252286 241197953341 482395906682 723593860023 1447187720046 1688385673387 3376771346774 5065157020161 10130314040322