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233321144130 = 232519722435867
BaseRepresentation
bin1101100101001100000…
…1100001111101000010
3211022020112220012010200
43121103001201331002
512310320203103010
6255104121510030
722566626000544
oct3312301417502
9738215805120
10233321144130
118aa50780a48
1239276942316
131900478a6c9
14b41564b694
15610892acc0
hex3653061f42

233321144130 has 96 divisors (see below), whose sum is σ = 610090138944. Its totient is φ = 61864994688.

The previous prime is 233321144113. The next prime is 233321144159. The reversal of 233321144130 is 31441123332.

It is a happy number.

233321144130 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 211 + 441 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 233321144094 and 233321144103.

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 47 ways as a sum of consecutive naturals, for example, 39765457 + ... + 39771323.

It is an arithmetic number, because the mean of its divisors is an integer number (6355105614).

Almost surely, 2233321144130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233321144130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305045069472).

233321144130 is an abundant number, since it is smaller than the sum of its proper divisors (376768994814).

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

233321144130 is a wasteful number, since it uses less digits than its factorization.

233321144130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8320 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 233321144130 its reverse (31441123332), we get a palindrome (264762267462).

The spelling of 233321144130 in words is "two hundred thirty-three billion, three hundred twenty-one million, one hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 197 394 591 985 1182 1773 1970 2243 2955 3546 4486 5867 5910 6729 8865 11215 11734 13458 17601 17730 20187 22430 29335 33645 35202 40374 52803 58670 67290 88005 100935 105606 176010 201870 264015 441871 528030 883742 1155799 1325613 2209355 2311598 2651226 3467397 3976839 4418710 5778995 6628065 6934794 7953678 10402191 11557990 13159681 13256130 17336985 19884195 20804382 26319362 34673970 39479043 39768390 52010955 65798405 78958086 104021910 118437129 131596810 197395215 236874258 394790430 592185645 1184371290 2592457157 5184914314 7777371471 12962285785 15554742942 23332114413 25924571570 38886857355 46664228826 77773714710 116660572065 233321144130