Search a number
-
+
101023312021 = 1072467382709
BaseRepresentation
bin101111000010101110…
…1010110100010010101
3100122202111011222102221
41132011131112202111
53123343431441041
6114224240102341
710204310661322
oct1360535264225
9318674158387
10101023312021
1139931031615
12176b46049b1
1396ac81c708
144c64d19b49
152963ec32d1
hex1785756895

101023312021 has 8 divisors (see below), whose sum is σ = 102009054240. Its totient is φ = 100038340368.

The previous prime is 101023312001. The next prime is 101023312063. The reversal of 101023312021 is 120213320101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101023312021 - 29 = 101023311509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101023311986 and 101023312004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023312001) 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 7 ways as a sum of consecutive naturals, for example, 72615 + ... + 455323.

It is an arithmetic number, because the mean of its divisors is an integer number (12751131780).

Almost surely, 2101023312021 is an apocalyptic number.

It is an amenable number.

101023312021 is a deficient number, since it is larger than the sum of its proper divisors (985742219).

101023312021 is a wasteful number, since it uses less digits than its factorization.

101023312021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385283.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101023312021 its reverse (120213320101), we get a palindrome (221236632122).

The spelling of 101023312021 in words is "one hundred one billion, twenty-three million, three hundred twelve thousand, twenty-one".

Divisors: 1 107 2467 263969 382709 40949863 944143103 101023312021