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200332111022300 = 225247283563267521
BaseRepresentation
bin101101100011001101110100…
…010100001000100011011100
3222021022120012021010000212202
4231203031310110020203130
5202224220130410203200
61550023145025151032
760124342315401035
oct5543156424104334
9867276167100782
10200332111022300
115891740a02aa04
121a57585678b478
1387a231092c6aa
1437681a96c9a8c
15182617086a1d5
hexb633745088dc

200332111022300 has 144 divisors (see below), whose sum is σ = 446331889930752. Its totient is φ = 78011657011200.

The previous prime is 200332111022231. The next prime is 200332111022321. The reversal of 200332111022300 is 3220111233002.

It is a super-4 number, since 4×2003321110223004 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 748712540 + ... + 748980060.

It is an arithmetic number, because the mean of its divisors is an integer number (3099527013408).

Almost surely, 2200332111022300 is an apocalyptic number.

200332111022300 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 200332111022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223165944965376).

200332111022300 is an abundant number, since it is smaller than the sum of its proper divisors (245999778908452).

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

200332111022300 is a wasteful number, since it uses less digits than its factorization.

200332111022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268428 (or 268421 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 200332111022300 its reverse (3220111233002), we get a palindrome (203552222255302).

The spelling of 200332111022300 in words is "two hundred trillion, three hundred thirty-two billion, one hundred eleven million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 283 470 563 566 940 1126 1132 1175 1415 2252 2350 2815 2830 4700 5630 5660 7075 11260 13301 14075 14150 26461 26602 28150 28300 52922 53204 56300 66505 105844 132305 133010 159329 264610 266020 267521 318658 332525 529220 535042 637316 661525 665050 796645 1070084 1323050 1330100 1337605 1593290 2646100 2675210 3186580 3983225 5350420 6688025 7488463 7966450 12573487 13376050 14976926 15932900 25146974 26752100 29953852 37442315 50293948 62867435 74884630 75708443 125734870 149769260 150614323 151416886 187211575 251469740 301228646 302833772 314337175 374423150 378542215 602457292 628674350 748846300 753071615 757084430 1257348700 1506143230 1514168860 1892711075 3012286460 3558296821 3765358075 3785422150 7078873181 7116593642 7530716150 7570844300 14157746362 14233187284 15061432300 17791484105 28315492724 35394365905 35582968210 42623853409 70788731810 71165936420 85247706818 88957420525 141577463620 170495413636 176971829525 177914841050 213119267045 353943659050 355829682100 426238534090 707887318100 852477068180 1065596335225 2003321110223 2131192670450 4006642220446 4262385340900 8013284440892 10016605551115 20033211102230 40066422204460 50083027755575 100166055511150 200332111022300