Search a number
-
+
10324403331 = 31117219227251
BaseRepresentation
bin10011001110110000…
…11110010010000011
3222122112012000211120
421213120132102003
5132121021401311
64424251443323
7513563660154
oct114730362203
928575160746
1010324403331
114418947040
122001756543
13c86c809c8
146dd28992b
154065dc706
hex26761e483

10324403331 has 96 divisors (see below), whose sum is σ = 16933432320. Its totient is φ = 5532480000.

The previous prime is 10324403311. The next prime is 10324403351. The reversal of 10324403331 is 13330442301.

It is an interprime number because it is at equal distance from previous prime (10324403311) and next prime (10324403351).

It is not a de Polignac number, because 10324403331 - 26 = 10324403267 is a prime.

It is a super-2 number, since 2×103244033312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10324403311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41132956 + ... + 41133206.

It is an arithmetic number, because the mean of its divisors is an integer number (176389920).

Almost surely, 210324403331 is an apocalyptic number.

10324403331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10324403331 is a deficient number, since it is larger than the sum of its proper divisors (6609028989).

10324403331 is a wasteful number, since it uses less digits than its factorization.

10324403331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10324403331 its reverse (13330442301), we get a palindrome (23654845632).

The spelling of 10324403331 in words is "ten billion, three hundred twenty-four million, four hundred three thousand, three hundred thirty-one".

Divisors: 1 3 11 17 19 33 51 57 187 209 227 251 289 323 561 627 681 753 867 969 2497 2761 3179 3553 3859 4267 4313 4769 5491 7491 8283 9537 10659 11577 12801 12939 14307 16473 42449 46937 47443 52459 56977 60401 65603 72539 73321 81073 127347 140811 142329 157377 170931 181203 196809 217617 219963 243219 626747 721633 797929 806531 891803 968609 1082563 1246457 1378241 1880241 2164899 2393787 2419593 2675409 2905827 3247689 3739371 4134723 10654699 11908193 13711027 15160651 16466353 18403571 31964097 35724579 41133081 45481953 49399059 55210713 181129883 202439281 312860707 543389649 607317843 938582121 3441467777 10324403331