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233442103312 = 241119733120341
BaseRepresentation
bin1101100101101000111…
…0111101000000010000
3211022112222111112221101
43121122032331000100
512311042134301222
6255124122234144
722602625065325
oct3313216750020
9738488445841
10233442103312
1190002a88410
12392ab355954
131902385c0a2
14b427736b4c
156114370927
hex365a3bd010

233442103312 has 80 divisors (see below), whose sum is σ = 497439036864. Its totient is φ = 105247296000.

The previous prime is 233442103303. The next prime is 233442103313. The reversal of 233442103312 is 213301244332.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (233442103313) 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 15 ways as a sum of consecutive naturals, for example, 11466262 + ... + 11486602.

Almost surely, 2233442103312 is an apocalyptic number.

233442103312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233442103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248719518432).

233442103312 is an abundant number, since it is smaller than the sum of its proper divisors (263996933552).

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

233442103312 is a wasteful number, since it uses less digits than its factorization.

233442103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20888 (or 20882 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 233442103312 its reverse (213301244332), we get a palindrome (446743347644).

The spelling of 233442103312 in words is "two hundred thirty-three billion, four hundred forty-two million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 197 331 394 662 788 1324 1576 2167 2648 3152 3641 4334 5296 7282 8668 14564 17336 20341 29128 34672 40682 58256 65207 81364 130414 162728 223751 260828 325456 447502 521656 717277 895004 1043312 1434554 1790008 2869108 3580016 4007177 5738216 6732871 8014354 11476432 13465742 16028708 26931484 32057416 44078947 53862968 64114832 74061581 88157894 107725936 148123162 176315788 296246324 352631576 592492648 705263152 1184985296 1326375587 2652751174 5305502348 10611004696 14590131457 21222009392 29180262914 58360525828 116721051656 233442103312