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131330300600 = 23521753213751
BaseRepresentation
bin111101001001111100…
…1010101101010111000
3110112222122010111222102
41322103321111222320
54122431024104400
6140155440042532
712326326064522
oct1722371255270
9415878114872
10131330300600
1150773592714
1221552303448
13c4cc68b555
1464dc036a12
153639a3b9d5
hex1e93e55ab8

131330300600 has 144 divisors (see below), whose sum is σ = 329543439120. Its totient is φ = 48505600000.

The previous prime is 131330300599. The next prime is 131330300623. The reversal of 131330300600 is 6003033131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9543725 + ... + 9557475.

It is an arithmetic number, because the mean of its divisors is an integer number (2288496105).

Almost surely, 2131330300600 is an apocalyptic number.

131330300600 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 131330300600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164771719560).

131330300600 is an abundant number, since it is smaller than the sum of its proper divisors (198213138520).

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

131330300600 is a wasteful number, since it uses less digits than its factorization.

131330300600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13890 (or 13828 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 131330300600 its reverse (6003033131), we get a palindrome (137333333731).

The spelling of 131330300600 in words is "one hundred thirty-one billion, three hundred thirty million, three hundred thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 53 68 85 100 106 136 170 200 212 265 340 424 425 530 680 850 901 1060 1325 1700 1802 2120 2650 2809 3400 3604 4505 5300 5618 7208 9010 10600 11236 13751 14045 18020 22472 22525 27502 28090 36040 45050 47753 55004 56180 68755 70225 90100 95506 110008 112360 137510 140450 180200 191012 233767 238765 275020 280900 343775 382024 467534 477530 550040 561800 687550 728803 935068 955060 1168835 1193825 1375100 1457606 1870136 1910120 2337670 2387650 2750200 2915212 3644015 4675340 4775300 5830424 5844175 7288030 9350680 9550600 11688350 12389651 14576060 18220075 23376700 24779302 29152120 36440150 38626559 46753400 49558604 61948255 72880300 77253118 99117208 123896510 145760600 154506236 193132795 247793020 309012472 309741275 386265590 495586040 619482550 656651503 772531180 965663975 1238965100 1313303006 1545062360 1931327950 2477930200 2626606012 3283257515 3862655900 5253212024 6566515030 7725311800 13133030060 16416287575 26266060120 32832575150 65665150300 131330300600