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10232130133020 = 22359715491134989
BaseRepresentation
bin1001010011100101101001…
…1110110101110000011100
31100020011220202000210212110
42110321122132311300130
52320120400303224040
633432324203234020
72104150503045435
oct224713236656034
940204822023773
1010232130133020
113295470788764
12119307b818910
13592b68c4b013
1427534850a48c
1512b26400b980
hex94e5a7b5c1c

10232130133020 has 96 divisors (see below), whose sum is σ = 28964036808000. Its totient is φ = 2698692747264.

The previous prime is 10232130132971. The next prime is 10232130133051. The reversal of 10232130133020 is 2033103123201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8447686 + ... + 9582674.

It is an arithmetic number, because the mean of its divisors is an integer number (301708716750).

Almost surely, 210232130133020 is an apocalyptic number.

10232130133020 is a gapful number since it is divisible by the number (10) 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 10232130133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482018404000).

10232130133020 is an abundant number, since it is smaller than the sum of its proper divisors (18731906674980).

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

10232130133020 is a wasteful number, since it uses less digits than its factorization.

10232130133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136647 (or 1136645 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10232130133020 its reverse (2033103123201), we get a palindrome (12265233256221).

The spelling of 10232130133020 in words is "ten trillion, two hundred thirty-two billion, one hundred thirty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1549 1940 2910 3098 4647 5820 6196 7745 9294 15490 18588 23235 30980 46470 92940 150253 300506 450759 601012 751265 901518 1134989 1502530 1803036 2253795 2269978 3005060 3404967 4507590 4539956 5674945 6809934 9015180 11349890 13619868 17024835 22699780 34049670 68099340 110093933 220187866 330281799 440375732 550469665 660563598 1100939330 1321127196 1651408995 1758097961 2201878660 3302817990 3516195922 5274293883 6605635980 7032391844 8790489805 10548587766 17580979610 21097175532 26371469415 35161959220 52742938830 105485877660 170535502217 341071004434 511606506651 682142008868 852677511085 1023213013302 1705355022170 2046426026604 2558032533255 3410710044340 5116065066510 10232130133020