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15083230031200 = 2552101281664319
BaseRepresentation
bin1101101101111101011010…
…0100010110110101100000
31222101221110020100001001201
43123133112210112311200
53434110423341444300
652025050142010544
73114504333606562
oct333372644266540
958357406301051
1015083230031200
114895842151931
121837293276a54
1385545b5a9356
143a2064615332
151b25394b466a
hexdb7d6916d60

15083230031200 has 144 divisors (see below), whose sum is σ = 37318901437440. Its totient is φ = 5952289280000.

The previous prime is 15083230031161. The next prime is 15083230031213. The reversal of 15083230031200 is 213003238051.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22372641 + ... + 23036959.

It is an arithmetic number, because the mean of its divisors is an integer number (259159037760).

Almost surely, 215083230031200 is an apocalyptic number.

15083230031200 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 15083230031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659450718720).

15083230031200 is an abundant number, since it is smaller than the sum of its proper divisors (22235671406240).

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

15083230031200 is a wasteful number, since it uses less digits than its factorization.

15083230031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664721 (or 664708 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 15083230031200 its reverse (213003238051), we get a palindrome (15296233269251).

The spelling of 15083230031200 in words is "fifteen trillion, eighty-three billion, two hundred thirty million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 160 200 202 281 400 404 505 562 800 808 1010 1124 1405 1616 2020 2248 2525 2810 3232 4040 4496 5050 5620 7025 8080 8992 10100 11240 14050 16160 20200 22480 28100 28381 40400 44960 56200 56762 80800 112400 113524 141905 224800 227048 283810 454096 567620 664319 709525 908192 1135240 1328638 1419050 2270480 2657276 2838100 3321595 4540960 5314552 5676200 6643190 10629104 11352400 13286380 16607975 21258208 22704800 26572760 33215950 53145520 66431900 67096219 106291040 132863800 134192438 186673639 265727600 268384876 335481095 373347278 531455200 536769752 670962190 746694556 933368195 1073539504 1341924380 1493389112 1677405475 1866736390 2147079008 2683848760 2986778224 3354810950 3733472780 4666840975 5367697520 5973556448 6709621900 7466945560 9333681950 10735395040 13419243800 14933891120 18667363900 18854037539 26838487600 29867782240 37334727800 37708075078 53676975200 74669455600 75416150156 94270187695 149338911200 150832300312 188540375390 301664600624 377080750780 471350938475 603329201248 754161501560 942701876950 1508323003120 1885403753900 3016646006240 3770807507800 7541615015600 15083230031200