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103021033121 = 22322071649
BaseRepresentation
bin101111111110010001…
…0000011011010100001
3100211220201020201121022
41133330202003122201
53141441341024441
6115154402135225
710304646222146
oct1377442033241
9324821221538
10103021033121
113a766761a96
1217b71651515
13993a6796c6
144db43803cd
152a2e58584b
hex17fc8836a1

103021033121 has 6 divisors (see below), whose sum is σ = 103485132450. Its totient is φ = 102559005888.

The previous prime is 103021033109. The next prime is 103021033147. The reversal of 103021033121 is 121330120301.

It can be written as a sum of positive squares in only one way, i.e., 101975480896 + 1045552225 = 319336^2 + 32335^2 .

It is not a de Polignac number, because 103021033121 - 210 = 103021032097 is a prime.

It is a super-2 number, since 2×1030210331212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103021033121.

It is not an unprimeable number, because it can be changed into a prime (103021036121) 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 5 ways as a sum of consecutive naturals, for example, 986096 + ... + 1085553.

It is an arithmetic number, because the mean of its divisors is an integer number (17247522075).

Almost surely, 2103021033121 is an apocalyptic number.

It is an amenable number.

103021033121 is a deficient number, since it is larger than the sum of its proper divisors (464099329).

103021033121 is an frugal number, since it uses more digits than its factorization.

103021033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072095 (or 2071872 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 103021033121 its reverse (121330120301), we get a palindrome (224351153422).

The spelling of 103021033121 in words is "one hundred three billion, twenty-one million, thirty-three thousand, one hundred twenty-one".

Divisors: 1 223 49729 2071649 461977727 103021033121