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10431323331 = 31113233167509
BaseRepresentation
bin10011011011100000…
…10101110011000011
3222220222101010111120
421231300111303003
5132330404321311
64443031243323
7516332533242
oct115560256303
928828333446
1010431323331
114473234680
122031519543
13ca3178190
1470d55c959
15410bac706
hex26dc15cc3

10431323331 has 128 divisors (see below), whose sum is σ = 17898209280. Its totient is φ = 5310835200.

The previous prime is 10431323327. The next prime is 10431323333. The reversal of 10431323331 is 13332313401.

It is a happy number.

10431323331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10431323331 - 22 = 10431323327 is a prime.

It is a super-2 number, since 2×104313233312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10431323333) 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 127 ways as a sum of consecutive naturals, for example, 20493505 + ... + 20494013.

It is an arithmetic number, because the mean of its divisors is an integer number (139829760).

Almost surely, 210431323331 is an apocalyptic number.

10431323331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10431323331 is a deficient number, since it is larger than the sum of its proper divisors (7466885949).

10431323331 is a wasteful number, since it uses less digits than its factorization.

10431323331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10431323331 its reverse (13332313401), we get a palindrome (23763636732).

The spelling of 10431323331 in words is "ten billion, four hundred thirty-one million, three hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 11 13 23 31 33 39 67 69 93 143 201 253 299 341 403 429 509 713 737 759 871 897 1023 1209 1527 1541 2077 2139 2211 2613 3289 4433 4623 5599 6231 6617 7843 9269 9581 9867 11707 13299 15779 16797 16951 19851 20033 22847 23529 27001 27807 28743 34103 35121 47337 47771 50853 60099 68541 72787 81003 101959 102309 128777 143313 152191 173569 205127 218361 220363 297011 305877 362917 375133 386331 443339 456573 520707 525481 615381 621023 661089 784369 891033 1057193 1088751 1125399 1330017 1576443 1674101 1863069 2256397 2353107 3171579 3992087 4717921 4876729 5022303 6769191 6831253 8628059 10196797 11629123 11976261 13743509 14153763 14630187 20493759 24315439 25884177 30590391 34887369 41230527 51897131 72946317 112164767 151178599 155691393 267469829 316100707 336494301 453535797 802409487 948302121 3477107777 10431323331