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31230120132300 = 223522317212629927
BaseRepresentation
bin1110001100111010101000…
…01101110111111011001100
311002120120101202202010101010
413012131110031313323030
513043133241223213200
6150230530310445220
76402205330113105
oct706352415677314
9132516352663333
1031230120132300
119a5068a713371
123604734063810
131456cabc6123b
1479d78dc713ac
15392578e1d150
hex1c6754377ecc

31230120132300 has 144 divisors (see below), whose sum is σ = 94342628685312. Its totient is φ = 7961311987200.

The previous prime is 31230120132283. The next prime is 31230120132307. The reversal of 31230120132300 is 323102103213.

It is not an unprimeable number, because it can be changed into a prime (31230120132307) 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, 10559937 + ... + 13189863.

It is an arithmetic number, because the mean of its divisors is an integer number (655157143648).

Almost surely, 231230120132300 is an apocalyptic number.

31230120132300 is a gapful number since it is divisible by the number (30) 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 31230120132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47171314342656).

31230120132300 is an abundant number, since it is smaller than the sum of its proper divisors (63112508553012).

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

31230120132300 is a wasteful number, since it uses less digits than its factorization.

31230120132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631688 (or 2631681 counting only the distinct ones).

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

Adding to 31230120132300 its reverse (323102103213), we get a palindrome (31553222235513).

The spelling of 31230120132300 in words is "thirty-one trillion, two hundred thirty billion, one hundred twenty million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1721 1725 2300 3442 3450 5163 6884 6900 8605 10326 17210 20652 25815 34420 39583 43025 51630 79166 86050 103260 118749 129075 158332 172100 197915 237498 258150 395830 474996 516300 593745 791660 989575 1187490 1979150 2374980 2629927 2968725 3958300 5259854 5937450 7889781 10519708 11874900 13149635 15779562 26299270 31559124 39448905 52598540 60488321 65748175 78897810 120976642 131496350 157795620 181464963 197244525 241953284 262992700 302441605 362929926 394489050 604883210 725859852 788978100 907324815 1209766420 1512208025 1814649630 3024416050 3629299260 4526104367 4536624075 6048832100 9052208734 9073248150 13578313101 18104417468 18146496300 22630521835 27156626202 45261043670 54313252404 67891565505 90522087340 104100400441 113152609175 135783131010 208200800882 226305218350 271566262020 312301201323 339457827525 416401601764 452610436700 520502002205 624602402646 678915655050 1041004004410 1249204805292 1357831310100 1561506006615 2082008008820 2602510011025 3123012013230 5205020022050 6246024026460 7807530033075 10410040044100 15615060066150 31230120132300