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2200102122300 = 22352171259342647
BaseRepresentation
bin100000000001000000010…
…011100011001100111100
321210022211220021212220220
4200001000103203030330
5242021302120403200
64402413555541340
7314644403323515
oct40010023431474
97708756255826
102200102122300
11779070322a85
122b64898ba850
1312c612a8b034
14786b2355a0c
153c36a3c54a0
hex200404e333c

2200102122300 has 144 divisors (see below), whose sum is σ = 6745450763520. Its totient is φ = 551742295040.

The previous prime is 2200102122223. The next prime is 2200102122329. The reversal of 2200102122300 is 32212010022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2200102122300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6249577 + ... + 6592223.

It is an arithmetic number, because the mean of its divisors is an integer number (46843408080).

Almost surely, 22200102122300 is an apocalyptic number.

2200102122300 is a gapful number since it is divisible by the number (20) 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 2200102122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372725381760).

2200102122300 is an abundant number, since it is smaller than the sum of its proper divisors (4545348641220).

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

2200102122300 is a wasteful number, since it uses less digits than its factorization.

2200102122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343940 (or 343933 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2200102122300 its reverse (32212010022), we get a palindrome (2232314132322).

The spelling of 2200102122300 in words is "two trillion, two hundred billion, one hundred two million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1259 1275 1700 2518 2550 3777 5036 5100 6295 7554 12590 15108 18885 21403 25180 31475 37770 42806 62950 64209 75540 85612 94425 107015 125900 128418 188850 214030 256836 321045 342647 377700 428060 535075 642090 685294 1027941 1070150 1284180 1370588 1605225 1713235 2055882 2140300 3210450 3426470 4111764 5139705 5824999 6420900 6852940 8566175 10279410 11649998 17132350 17474997 20558820 23299996 25698525 29124995 34264700 34949994 51397050 58249990 69899988 87374985 102794100 116499980 145624975 174749970 291249950 349499940 431392573 436874925 582499900 862785146 873749850 1294177719 1725570292 1747499700 2156962865 2588355438 4313925730 5176710876 6470888595 7333673741 8627851460 10784814325 12941777190 14667347482 21569628650 22001021223 25883554380 29334694964 32354442975 36668368705 43139257300 44002042446 64708885950 73336737410 88004084892 110005106115 129417771900 146673474820 183341843525 220010212230 366683687050 440020424460 550025530575 733367374100 1100051061150 2200102122300