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101321011130032 = 2431474346302811
BaseRepresentation
bin10111000010011010100010…
…111000000110111010110000
3111021202012020110210222102001
4113002122202320012322300
5101240020412322130112
6555254121355503344
730225126052365541
oct2702324270067260
9437665213728361
10101321011130032
112a313aaa393341
12b444835757b54
13446c6b82511b5
141b03d6aa8a4c8
15baa8d30dec57
hex5c26a2e06eb0

101321011130032 has 40 divisors (see below), whose sum is σ = 206953554696192. Its totient is φ = 47983183022400.

The previous prime is 101321011129993. The next prime is 101321011130039. The reversal of 101321011130032 is 230031110123101.

101321011130032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013210111300322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101321011129991 and 101321011130009.

It is not an unprimeable number, because it can be changed into a prime (101321011130039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2173128094 + ... + 2173174717.

Almost surely, 2101321011130032 is an apocalyptic number.

It is an amenable number.

101321011130032 is an abundant number, since it is smaller than the sum of its proper divisors (105632543566160).

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

101321011130032 is a wasteful number, since it uses less digits than its factorization.

101321011130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346302897 (or 4346302891 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101321011130032 its reverse (230031110123101), we get a palindrome (331352121253133).

The spelling of 101321011130032 in words is "one hundred one trillion, three hundred twenty-one billion, eleven million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 47 62 94 124 188 248 376 496 752 1457 2914 5828 11656 23312 4346302811 8692605622 17385211244 34770422488 69540844976 134735387141 204276232117 269470774282 408552464234 538941548564 817104928468 1077883097128 1634209856936 2155766194256 3268419713872 6332563195627 12665126391254 25330252782508 50660505565016 101321011130032