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101003022 = 2323125839
BaseRepresentation
bin1100000010100…
…10111100001110
321001001111002200
412001102330032
5201324044042
614004502330
72334340311
oct601227416
9231044080
10101003022
115201707a
12299aa9a6
1317c05203
14d5b2978
158d01c4c
hex6052f0e

101003022 has 36 divisors (see below), whose sum is σ = 226165680. Its totient is φ = 32576040.

The previous prime is 101003009. The next prime is 101003029. The reversal of 101003022 is 220300101.

It is a happy number.

It is a super-2 number, since 2×1010030222 = 20403220906264968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101002995 and 101003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003029) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14379 + ... + 20217.

It is an arithmetic number, because the mean of its divisors is an integer number (6282380).

Almost surely, 2101003022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101003022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113082840).

101003022 is an abundant number, since it is smaller than the sum of its proper divisors (125162658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101003022 is a wasteful number, since it uses less digits than its factorization.

101003022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101003022 is about 10050.0259701157. The cubic root of 101003022 is about 465.7055954478.

Adding to 101003022 its reverse (220300101), we get a palindrome (321303123).

The spelling of 101003022 in words is "one hundred one million, three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 961 1922 2883 5766 5839 8649 11678 17298 17517 35034 52551 105102 181009 362018 543027 1086054 1629081 3258162 5611279 11222558 16833837 33667674 50501511 101003022