Search a number
-
+
123300242344 = 231741591312861
BaseRepresentation
bin111001011010101000…
…1000110001110101000
3102210021000011021220101
41302311101012032220
54010004330223334
6132350544035144
711623331524126
oct1626521061650
9383230137811
10123300242344
1148322855034
121ba91002ab4
13b81cb52aa6
145d79786916
153319aa5214
hex1cb54463a8

123300242344 has 128 divisors (see below), whose sum is σ = 257044233600. Its totient is φ = 55204864000.

The previous prime is 123300242333. The next prime is 123300242357. The reversal of 123300242344 is 443242003321.

It is a super-2 number, since 2×1233002423442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43095474 + ... + 43098334.

It is an arithmetic number, because the mean of its divisors is an integer number (2008158075).

Almost surely, 2123300242344 is an apocalyptic number.

It is an amenable number.

123300242344 is an abundant number, since it is smaller than the sum of its proper divisors (133743991256).

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

123300242344 is a wasteful number, since it uses less digits than its factorization.

123300242344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 123300242344 its reverse (443242003321), we get a palindrome (566542245665).

The spelling of 123300242344 in words is "one hundred twenty-three billion, three hundred million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 17 34 41 59 68 82 118 131 136 164 236 262 328 472 524 697 1003 1048 1394 2006 2227 2419 2788 2861 4012 4454 4838 5371 5576 5722 7729 8024 8908 9676 10742 11444 15458 17816 19352 21484 22888 30916 41123 42968 48637 61832 82246 91307 97274 117301 131393 164492 168799 182614 194548 234602 262786 316889 328984 337598 365228 374791 389096 469204 525572 633778 675196 730456 749582 938408 1051144 1267556 1350392 1499164 1994117 2535112 2869583 2998328 3988234 5387113 5739166 6371447 6920759 7976468 10774226 11478332 12742894 13841518 15366431 15952936 21548452 22112669 22956664 25485788 27683036 30732862 43096904 44225338 50971576 55366072 61465724 88450676 117652903 122931448 176901352 235305806 261229327 375915373 470611612 522458654 751830746 906619429 941223224 1044917308 1503661492 1813238858 2089834616 3007322984 3626477716 7252955432 15412530293 30825060586 61650121172 123300242344