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231323144031 = 33729277152363
BaseRepresentation
bin1101011101101111101…
…1110000111101011111
3211010002022022021021000
43113123323300331133
512242222211102111
6254133545441343
722466255165430
oct3273373607537
9733068267230
10231323144031
118a11597a9a1
12389b97a0253
1318a76863725
14b2a6153487
15603d310c56
hex35dbef0f5f

231323144031 has 64 divisors (see below), whose sum is σ = 406629043200. Its totient is φ = 127164981888.

The previous prime is 231323144027. The next prime is 231323144047. The reversal of 231323144031 is 130441323132.

It is a happy number.

231323144031 is a `hidden beast` number, since 2 + 313 + 2 + 314 + 4 + 0 + 31 = 666.

It is not a de Polignac number, because 231323144031 - 22 = 231323144027 is a prime.

It is a super-2 number, since 2×2313231440312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231323143986 and 231323144004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231323144071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1442056 + ... + 1594418.

It is an arithmetic number, because the mean of its divisors is an integer number (6353578800).

Almost surely, 2231323144031 is an apocalyptic number.

231323144031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

231323144031 is a deficient number, since it is larger than the sum of its proper divisors (175305899169).

231323144031 is a wasteful number, since it uses less digits than its factorization.

231323144031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152685 (or 152679 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 231323144031 its reverse (130441323132), we get a palindrome (361764467163).

The spelling of 231323144031 in words is "two hundred thirty-one billion, three hundred twenty-three million, one hundred forty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 277 609 783 831 1827 1939 2493 5481 5817 7479 8033 17451 24099 52353 56231 72297 152363 168693 216891 457089 506079 1066541 1371267 1518237 3199623 4113801 4418527 9598869 13255581 28796607 30929689 39766743 42204551 92789067 119300229 126613653 278367201 295431857 379840959 835101603 886295571 1139522877 1223931979 2658886713 3671795937 7976660139 8567523853 11015387811 25702571559 33046163433 77107714677 231323144031