Search a number
-
+
100102021007 = 291734316771
BaseRepresentation
bin101110100111010001…
…0111001111110001111
3100120101021121112202112
41131032202321332033
53120002104133012
6113553005414235
710142423065562
oct1351642717617
9316337545675
10100102021007
11394a8a87a8a
1217497b6a37b
1395939b00c1
144bb881a4d9
15290d18d122
hex174e8b9f8f

100102021007 has 4 divisors (see below), whose sum is σ = 100136340696. Its totient is φ = 100067701320.

The previous prime is 100102020979. The next prime is 100102021031. The reversal of 100102021007 is 700120201001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 100102021007 - 232 = 95807053711 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102020982 and 100102021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102021067) 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 3 ways as a sum of consecutive naturals, for example, 17155469 + ... + 17161302.

It is an arithmetic number, because the mean of its divisors is an integer number (25034085174).

Almost surely, 2100102021007 is an apocalyptic number.

100102021007 is a deficient number, since it is larger than the sum of its proper divisors (34319689).

100102021007 is an equidigital number, since it uses as much as digits as its factorization.

100102021007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34319688.

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 100102021007 its reverse (700120201001), we get a palindrome (800222222008).

The spelling of 100102021007 in words is "one hundred billion, one hundred two million, twenty-one thousand, seven".

Divisors: 1 2917 34316771 100102021007