Search a number
-
+
10232232330312 = 23322711174344657
BaseRepresentation
bin1001010011100110000010…
…0100101100010001001000
31100020012011212022222012100
42110321200210230101020
52320121102434032222
633432342253513400
72104153153521636
oct224714044542110
940205155288170
1010232232330312
113295513440033
1211930a9aa2860
13592b841809a5
14275357d10356
1512b26ce974ac
hex94e6092c448

10232232330312 has 96 divisors (see below), whose sum is σ = 27817546798080. Its totient is φ = 3397792872960.

The previous prime is 10232232330301. The next prime is 10232232330347. The reversal of 10232232330312 is 21303323223201.

10232232330312 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 22 + 323 + 3 + 0 + 312 = 666.

It is a super-2 number, since 2×102322323303122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229107088 + ... + 229151744.

It is an arithmetic number, because the mean of its divisors is an integer number (289766112480).

Almost surely, 210232232330312 is an apocalyptic number.

10232232330312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10232232330312 is an abundant number, since it is smaller than the sum of its proper divisors (17585314467768).

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

10232232330312 is a wasteful number, since it uses less digits than its factorization.

10232232330312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56683 (or 56676 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10232232330312 its reverse (21303323223201), we get a palindrome (31535555553513).

The spelling of 10232232330312 in words is "ten trillion, two hundred thirty-two billion, two hundred thirty-two million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 271 542 813 1084 1626 2168 2439 3252 4878 6504 9756 11743 19512 23486 35229 44657 46972 70458 89314 93944 105687 133971 140916 178628 211374 267942 281832 357256 401913 422748 535884 803826 845496 1071768 1607652 3182353 3215304 6364706 9547059 12102047 12729412 19094118 24204094 25458824 28641177 36306141 38188236 48408188 57282354 72612282 76376472 96816376 108918423 114564708 145224564 217836846 229129416 290449128 435673692 524407151 871347384 1048814302 1573221453 2097628604 3146442906 4195257208 4719664359 6292885812 9439328718 12585771624 18878657436 37757314872 142114337921 284228675842 426343013763 568457351684 852686027526 1136914703368 1279029041289 1705372055052 2558058082578 3410744110104 5116116165156 10232232330312