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231303224020 = 225114015634657
BaseRepresentation
bin1101011101101010111…
…1110001101011010100
3211010000220211020010211
43113122233301223110
512242202111132040
6254131554455204
722465623651541
oct3273257615324
9733026736124
10231303224020
118a105704780
12389b2b94504
1318a726aa83b
14b2a3649bc8
15603b6c88ea
hex35dabf1ad4

231303224020 has 96 divisors (see below), whose sum is σ = 532273908096. Its totient is φ = 83733504000.

The previous prime is 231303223961. The next prime is 231303224021. The reversal of 231303224020 is 20422303132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 231303223982 and 231303224000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231303224021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49665532 + ... + 49670188.

It is an arithmetic number, because the mean of its divisors is an integer number (5544519876).

Almost surely, 2231303224020 is an apocalyptic number.

231303224020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231303224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266136954048).

231303224020 is an abundant number, since it is smaller than the sum of its proper divisors (300970684076).

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

231303224020 is a wasteful number, since it uses less digits than its factorization.

231303224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 231303224020 its reverse (20422303132), we get a palindrome (251725527152).

The spelling of 231303224020 in words is "two hundred thirty-one billion, three hundred three million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 401 563 802 1126 1604 2005 2252 2815 4010 4411 4657 5630 6193 8020 8822 9314 11260 12386 17644 18628 22055 23285 24772 30965 44110 46570 51227 61930 88220 93140 102454 123860 204908 225763 256135 451526 512270 903052 1024540 1128815 1867457 2257630 2483393 2621891 3734914 4515260 4966786 5243782 7469828 9337285 9933572 10487564 12416965 13109455 18674570 20542027 24833930 26218910 28840801 37349140 41084054 49667860 52437820 57681602 82168108 102710135 115363204 144204005 205420270 288408010 410840540 576816020 1051378291 2102756582 4205513164 5256891455 10513782910 11565161201 21027565820 23130322402 46260644804 57825806005 115651612010 231303224020