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100234420001 = 1728160134913
BaseRepresentation
bin101110101011001101…
…1111101111100100001
3100120201111202010000222
41131112123331330201
53120240002420001
6114014055252425
710145621340512
oct1352633757441
9316644663028
10100234420001
1139566798341
121751437a115
1395b52587c1
144bcc242a09
152919ae261b
hex17566fdf21

100234420001 has 16 divisors (see below), whose sum is σ = 106688525328. Its totient is φ = 93843456000.

The previous prime is 100234419979. The next prime is 100234420051. The reversal of 100234420001 is 100024432001.

It can be written as a sum of positive squares in 8 ways, for example, as 16380160225 + 83854259776 = 127985^2 + 289576^2 .

It is a cyclic number.

It is not a de Polignac number, because 100234420001 - 26 = 100234419937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100234420051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2853521 + ... + 2888433.

It is an arithmetic number, because the mean of its divisors is an integer number (6668032833).

Almost surely, 2100234420001 is an apocalyptic number.

It is an amenable number.

100234420001 is a deficient number, since it is larger than the sum of its proper divisors (6454105327).

100234420001 is a wasteful number, since it uses less digits than its factorization.

100234420001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35812.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 100234420001 its reverse (100024432001), we get a palindrome (200258852002).

The spelling of 100234420001 in words is "one hundred billion, two hundred thirty-four million, four hundred twenty thousand, one".

Divisors: 1 17 281 601 4777 10217 34913 168881 593521 2870977 9810553 20982713 166779401 356706121 5896142353 100234420001