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131230122300 = 223352181268529
BaseRepresentation
bin111101000110111101…
…1001100000100111100
3110112201122121221012000
41322031323030010330
54122224402403200
6140141500542300
712324001430514
oct1721573140474
9415648557160
10131230122300
1150721a8a232
1221524851990
13c4b49b4854
1464cc9da844
153630d4e300
hex1e8decc13c

131230122300 has 144 divisors (see below), whose sum is σ = 424212952800. Its totient is φ = 34801228800.

The previous prime is 131230122277. The next prime is 131230122301. The reversal of 131230122300 is 3221032131.

131230122300 is a `hidden beast` number, since 1 + 312 + 30 + 1 + 22 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131230122301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354436 + ... + 622964.

Almost surely, 2131230122300 is an apocalyptic number.

131230122300 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 131230122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212106476400).

131230122300 is an abundant number, since it is smaller than the sum of its proper divisors (292982830500).

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

131230122300 is a wasteful number, since it uses less digits than its factorization.

131230122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268733 (or 268720 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131230122300 its reverse (3221032131), we get a palindrome (134451154431).

The spelling of 131230122300 in words is "one hundred thirty-one billion, two hundred thirty million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 181 225 270 300 362 450 540 543 675 724 900 905 1086 1350 1629 1810 2172 2700 2715 3258 3620 4525 4887 5430 6516 8145 9050 9774 10860 13575 16290 18100 19548 24435 27150 32580 40725 48870 54300 81450 97740 122175 162900 244350 268529 488700 537058 805587 1074116 1342645 1611174 2416761 2685290 3222348 4027935 4833522 5370580 6713225 7250283 8055870 9667044 12083805 13426450 14500566 16111740 20139675 24167610 26852900 29001132 36251415 40279350 48335220 48603749 60419025 72502830 80558700 97207498 120838050 145005660 145811247 181257075 194414996 241676100 243018745 291622494 362514150 437433741 486037490 583244988 725028300 729056235 874867482 972074980 1215093725 1312301223 1458112470 1749734964 2187168705 2430187450 2624602446 2916224940 3645281175 4374337410 4860374900 5249204892 6561506115 7290562350 8748674820 10935843525 13123012230 14581124700 21871687050 26246024460 32807530575 43743374100 65615061150 131230122300