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131000030310020 = 225235935471360819
BaseRepresentation
bin11101110010010011010010…
…010001011010111010000100
3122011211110222100110121210012
4131302103102101122322010
5114132301030224410040
61142340325542045352
736410303605120064
oct3562232221327204
9564743870417705
10131000030310020
1138816889a45523
1212838825119858
135813332c03b41
14244c6146553a4
1510229287ea865
hex7724d245ae84

131000030310020 has 96 divisors (see below), whose sum is σ = 292008892492800. Its totient is φ = 49258302090624.

The previous prime is 131000030310001. The next prime is 131000030310041. The reversal of 131000030310020 is 20013030000131.

It is a super-3 number, since 3×1310000303100203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 131000030309977 and 131000030310004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95585171 + ... + 96945989.

It is an arithmetic number, because the mean of its divisors is an integer number (3041759296800).

Almost surely, 2131000030310020 is an apocalyptic number.

131000030310020 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 131000030310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146004446246400).

131000030310020 is an abundant number, since it is smaller than the sum of its proper divisors (161008862182780).

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

131000030310020 is a wasteful number, since it uses less digits than its factorization.

131000030310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364457 (or 1364455 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 131000030310020 its reverse (20013030000131), we get a palindrome (151013060310151).

The spelling of 131000030310020 in words is "one hundred thirty-one trillion, thirty million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 590 1180 1357 2714 3547 5428 6785 7094 13570 14188 17735 27140 35470 70940 81581 163162 209273 326324 407905 418546 815810 837092 1046365 1360819 1631620 2092730 2721638 4185460 4813279 5443276 6804095 9626558 13608190 19253116 24066395 27216380 31298837 48132790 62597674 80288321 96265580 125195348 156494185 160576642 312988370 321153284 401441605 625976740 802883210 1605766420 1846631383 3693262766 4826824993 7386525532 9233156915 9653649986 18466313830 19307299972 24134124965 36932627660 48268249930 96536499860 111016974839 222033949678 284782674587 444067899356 555084874195 569565349174 1110169748390 1139130698348 1423913372935 2220339496780 2847826745870 5695653491740 6550001515501 13100003031002 26200006062004 32750007577505 65500015155010 131000030310020