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233124300101 = 71129104399597
BaseRepresentation
bin1101100100011101001…
…0101000010101000101
3211021201211111110220002
43121013102220111011
512304414310100401
6255032410451045
722562015566340
oct3310722502505
9737654443802
10233124300101
118a95a654130
1239220a33a85
1318ca2a69a54
14b3d744b457
1560e64e6a6b
hex36474a8545

233124300101 has 16 divisors (see below), whose sum is σ = 300670842240. Its totient is φ = 175391321280.

The previous prime is 233124300067. The next prime is 233124300113. The reversal of 233124300101 is 101003421332.

It is a de Polignac number, because none of the positive numbers 2k-233124300101 is a prime.

It is a super-2 number, since 2×2331243001012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233124300161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52197566 + ... + 52202031.

It is an arithmetic number, because the mean of its divisors is an integer number (18791927640).

Almost surely, 2233124300101 is an apocalyptic number.

It is an amenable number.

233124300101 is a deficient number, since it is larger than the sum of its proper divisors (67546542139).

233124300101 is a wasteful number, since it uses less digits than its factorization.

233124300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104399644.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 233124300101 its reverse (101003421332), we get a palindrome (334127721433).

The spelling of 233124300101 in words is "two hundred thirty-three billion, one hundred twenty-four million, three hundred thousand, one hundred one".

Divisors: 1 7 11 29 77 203 319 2233 104399597 730797179 1148395567 3027588313 8038768969 21193118191 33303471443 233124300101