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13016734200 = 23325264711177
BaseRepresentation
bin11000001111101101…
…11001100111111000
31020121011021121110200
430013312321213320
5203124240443300
65551345442200
7640365262251
oct140766714770
936534247420
1013016734200
11557a675078
122633340360
1312c59b07b2
148b6a83b28
15512b5a200
hex307db99f8

13016734200 has 144 divisors (see below), whose sum is σ = 43786014480. Its totient is φ = 3465454080.

The previous prime is 13016734193. The next prime is 13016734217. The reversal of 13016734200 is 243761031.

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, 1159012 + ... + 1170188.

It is an arithmetic number, because the mean of its divisors is an integer number (304069545).

Almost surely, 213016734200 is an apocalyptic number.

13016734200 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 13016734200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21893007240).

13016734200 is an abundant number, since it is smaller than the sum of its proper divisors (30769280280).

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

13016734200 is a wasteful number, since it uses less digits than its factorization.

13016734200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11846 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13016734200 in words is "thirteen billion, sixteen million, seven hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 647 900 1294 1800 1941 2588 3235 3882 5176 5823 6470 7764 9705 11177 11646 12940 15528 16175 19410 22354 23292 25880 29115 32350 33531 38820 44708 46584 48525 55885 58230 64700 67062 77640 89416 97050 100593 111770 116460 129400 134124 145575 167655 194100 201186 223540 232920 268248 279425 291150 335310 388200 402372 447080 502965 558850 582300 670620 804744 838275 1005930 1117700 1164600 1341240 1676550 2011860 2235400 2514825 3353100 4023720 5029650 6706200 7231519 10059300 14463038 20118600 21694557 28926076 36157595 43389114 57852152 65083671 72315190 86778228 108472785 130167342 144630380 173556456 180787975 216945570 260334684 289260760 325418355 361575950 433891140 520669368 542363925 650836710 723151900 867782280 1084727850 1301673420 1446303800 1627091775 2169455700 2603346840 3254183550 4338911400 6508367100 13016734200