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71221218000 = 24353103311491
BaseRepresentation
bin100001001010100011…
…1011000101011010000
320210211112021202000220
41002111013120223100
52131330112434000
652415113513040
75100633235662
oct1022507305320
9223745252026
1071221218000
1128228580249
1211977a12780
13694045a75a
143638caa532
151cbc93d1a0
hex10951d8ad0

71221218000 has 160 divisors (see below), whose sum is σ = 229859490432. Its totient is φ = 18972288000.

The previous prime is 71221217989. The next prime is 71221218023. The reversal of 71221218000 is 81212217.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 6192255 + ... + 6203745.

Almost surely, 271221218000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71221218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114929745216).

71221218000 is an abundant number, since it is smaller than the sum of its proper divisors (158638272432).

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

71221218000 is a wasteful number, since it uses less digits than its factorization.

71221218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12550 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The spelling of 71221218000 in words is "seventy-one billion, two hundred twenty-one million, two hundred eighteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1033 1200 1500 2000 2066 3000 3099 4132 5165 6000 6198 8264 10330 11491 12396 15495 16528 20660 22982 24792 25825 30990 34473 41320 45964 49584 51650 57455 61980 68946 77475 82640 91928 103300 114910 123960 129125 137892 154950 172365 183856 206600 229820 247920 258250 275784 287275 309900 344730 387375 413200 459640 516500 551568 574550 619800 689460 774750 861825 919280 1033000 1149100 1239600 1378920 1436375 1549500 1723650 2066000 2298200 2757840 2872750 3099000 3447300 4309125 4596400 5745500 6198000 6894600 8618250 11491000 11870203 13789200 17236500 22982000 23740406 34473000 35610609 47480812 59351015 68946000 71221218 94961624 118702030 142442436 178053045 189923248 237404060 284884872 296755075 356106090 474808120 569769744 593510150 712212180 890265225 949616240 1187020300 1424424360 1483775375 1780530450 2374040600 2848848720 2967550750 3561060900 4451326125 4748081200 5935101500 7122121800 8902652250 11870203000 14244243600 17805304500 23740406000 35610609000 71221218000