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101012021321 = 29471494911013
BaseRepresentation
bin101111000010011001…
…0010010000001001001
3100122201200221100111212
41132010302102001021
53123333034140241
6114223154102505
710204113004661
oct1360462220111
9318650840455
10101012021321
113992571a762
12176b087aa35
1396aa398523
144c6361b1a1
152962ee2beb
hex1784c92049

101012021321 has 32 divisors (see below), whose sum is σ = 107759808000. Its totient is φ = 94526629120.

The previous prime is 101012021267. The next prime is 101012021329. The reversal of 101012021321 is 123120210101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101012021321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012021296 and 101012021305.

It is not an unprimeable number, because it can be changed into a prime (101012021329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99715211 + ... + 99716223.

It is an arithmetic number, because the mean of its divisors is an integer number (3367494000).

Almost surely, 2101012021321 is an apocalyptic number.

It is an amenable number.

101012021321 is a deficient number, since it is larger than the sum of its proper divisors (6747786679).

101012021321 is a wasteful number, since it uses less digits than its factorization.

101012021321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101012021321 its reverse (123120210101), we get a palindrome (224132231422).

The spelling of 101012021321 in words is "one hundred one billion, twelve million, twenty-one thousand, three hundred twenty-one".

Divisors: 1 29 47 149 491 1013 1363 4321 7003 14239 23077 29377 47611 73159 150937 203087 497383 669233 1380719 2121611 3438473 4377173 7094039 14424107 23377001 74110067 99715717 205727131 677933029 2149191943 3483173149 101012021321