Search a number
-
+
23310310044012 = 2232371832172673
BaseRepresentation
bin1010100110011010110101…
…01111111111000101101100
310001112102222120211022101220
411103031122233333011230
511023404003332402022
6121324335242503340
74624054133104605
oct523153257770554
9101472876738356
1023310310044012
117477935359742
12274583b804b50
1310011ca9363a4
145a8321684dac
152a654be8b85c
hex15335abff16c

23310310044012 has 144 divisors (see below), whose sum is σ = 58257035923968. Its totient is φ = 7239266693120.

The previous prime is 23310310043971. The next prime is 23310310044019. The reversal of 23310310044012 is 21044001301332.

It is a happy number.

It is a super-3 number, since 3×233103100440123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (23310310044019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134910508 + ... + 135083180.

It is an arithmetic number, because the mean of its divisors is an integer number (404562749472).

Almost surely, 223310310044012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23310310044012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29128517961984).

23310310044012 is an abundant number, since it is smaller than the sum of its proper divisors (34946725879956).

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

23310310044012 is a wasteful number, since it uses less digits than its factorization.

23310310044012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172940 (or 172855 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23310310044012 its reverse (21044001301332), we get a palindrome (44354311345344).

The spelling of 23310310044012 in words is "twenty-three trillion, three hundred ten billion, three hundred ten million, forty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 71 83 92 138 142 166 213 249 276 284 332 426 498 852 996 1633 1909 3266 3818 4899 5727 5893 6532 6889 7636 9798 11454 11786 13778 17679 19596 20667 22908 23572 27556 35358 41334 70716 82668 135539 158447 172673 271078 316894 345346 406617 475341 489119 518019 542156 633788 690692 813234 950682 978238 1036038 1467357 1626468 1901364 1956476 2072076 2934714 3971479 5869428 7942958 11249737 11914437 12259783 14331859 15885916 22499474 23828874 24519566 28663718 33749211 36779349 42995577 44998948 47657748 49039132 57327436 67498422 73558698 85991154 134996844 147117396 171982308 281975009 329632757 563950018 659265514 845925027 988898271 1017561989 1127900036 1189544297 1318531028 1691850054 1977796542 2035123978 2379088594 3052685967 3383700108 3568632891 3955593084 4070247956 4758177188 6105371934 7137265782 12210743868 14274531564 23403925747 27359518831 46807851494 54719037662 70211777241 82078556493 84457645087 93615702988 109438075324 140423554482 164157112986 168915290174 253372935261 280847108964 328314225972 337830580348 506745870522 1013491741044 1942525837001 3885051674002 5827577511003 7770103348004 11655155022006 23310310044012