Search a number
-
+
100000012201012 = 227118929059125539
BaseRepresentation
bin10110101111001100010001…
…001101000110110000110100
3111010001220111210021101221001
4112233030101031012300310
5101101400011110413022
6552403212120133044
730030522344636560
oct2657142115066064
9433056453241831
10100000012201012
112995484898aa60
12b270809907184
1343a4c64828591
141a9a0526aa6a0
15b8636a8ceb27
hex5af311346c34

100000012201012 has 96 divisors (see below), whose sum is σ = 220642676352000. Its totient is φ = 38521646634240.

The previous prime is 100000012200973. The next prime is 100000012201027. The reversal of 100000012201012 is 210102210000001.

It is a self number, because there is not a number n which added to its sum of digits gives 100000012201012.

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, 796502539 + ... + 796628077.

It is an arithmetic number, because the mean of its divisors is an integer number (2298361212000).

Almost surely, 2100000012201012 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 100000012201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110321338176000).

100000012201012 is an abundant number, since it is smaller than the sum of its proper divisors (120642664150988).

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

100000012201012 is a wasteful number, since it uses less digits than its factorization.

100000012201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154709 (or 154707 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100000012201012 its reverse (210102210000001), we get a palindrome (310102222201013).

The spelling of 100000012201012 in words is "one hundred trillion, twelve million, two hundred one thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 89 154 178 308 356 623 979 1246 1958 2492 3916 6853 13706 27412 29059 58118 116236 125539 203413 251078 319649 406826 502156 639298 813652 878773 1278596 1380929 1757546 2237543 2586251 2761858 3515092 4475086 5172502 5523716 8950172 9666503 10345004 11172971 18103757 19333006 22345942 28448761 36207514 38666012 44691884 56897522 72415028 78210797 113795044 122902681 156421594 199141327 245805362 312843188 398282654 491610724 796565308 860318767 1720637534 3441275068 3648037801 7296075602 14592151204 25536264607 40128415811 51072529214 80256831622 102145058428 160513663244 280898910677 324675364289 561797821354 649350728578 1123595642708 1298701457156 2272727550023 3571429007179 4545455100046 7142858014358 9090910200092 14285716028716 25000003050253 50000006100506 100000012201012