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123132300101 = 7327110316037
BaseRepresentation
bin111001010101101000…
…0011100101101000101
3102202211022010221110022
41302223100130231011
54004133332100401
6132322144304525
711616222165446
oct1625320345505
9382738127408
10123132300101
1148246a78598
121ba44912145
13b7c4111295
145d6134b2cd
153309e7e71b
hex1cab41cb45

123132300101 has 16 divisors (see below), whose sum is σ = 125421915648. Its totient is φ = 120860035200.

The previous prime is 123132300091. The next prime is 123132300119. The reversal of 123132300101 is 101003231321.

It is a cyclic number.

It is not a de Polignac number, because 123132300101 - 218 = 123132037957 is a prime.

It is a super-3 number, since 3×1231323001013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 123132300101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123132300121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20393255 + ... + 20399291.

It is an arithmetic number, because the mean of its divisors is an integer number (7838869728).

Almost surely, 2123132300101 is an apocalyptic number.

It is an amenable number.

123132300101 is a deficient number, since it is larger than the sum of its proper divisors (2289615547).

123132300101 is a wasteful number, since it uses less digits than its factorization.

123132300101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412.

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

Adding to 123132300101 its reverse (101003231321), we get a palindrome (224135531422).

The spelling of 123132300101 in words is "one hundred twenty-three billion, one hundred thirty-two million, three hundred thousand, one hundred one".

Divisors: 1 73 271 1031 6037 19783 75263 279401 440701 1636027 6224147 20396273 119429971 454362731 1686743837 123132300101