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100320122001 = 31110356951871
BaseRepresentation
bin101110101101110001…
…0111001010010010001
3100120221111000020002010
41131123202321102101
53120423422401001
6114030400213133
710151011652541
oct1353342712221
9316844006063
10100320122001
1139600103540
121753900a1a9
1395c9c34348
144bd9791321
1529223c08d6
hex175b8b9491

100320122001 has 32 divisors (see below), whose sum is σ = 147598663680. Its totient is φ = 60102806400.

The previous prime is 100320121997. The next prime is 100320122003. The reversal of 100320122001 is 100221023001.

It is not a de Polignac number, because 100320122001 - 22 = 100320121997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100320122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1908096 + ... + 1959966.

It is an arithmetic number, because the mean of its divisors is an integer number (4612458240).

Almost surely, 2100320122001 is an apocalyptic number.

100320122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100320122001 is a deficient number, since it is larger than the sum of its proper divisors (47278541679).

100320122001 is a wasteful number, since it uses less digits than its factorization.

100320122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52557.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100320122001 its reverse (100221023001), we get a palindrome (200541145002).

The spelling of 100320122001 in words is "one hundred billion, three hundred twenty million, one hundred twenty-two thousand, one".

Divisors: 1 3 11 33 103 309 569 1133 1707 3399 6259 18777 51871 58607 155613 175821 570581 644677 1711743 1934031 5342713 16028139 29514599 58769843 88543797 176309529 324660589 973981767 3040003697 9120011091 33440040667 100320122001