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200201002100 = 225211792778317
BaseRepresentation
bin1011101001110011101…
…0001101110001110100
3201010202100111122112122
42322130322031301310
511240002424031400
6231545430135112
720315111303651
oct2723472156164
9633670448478
10200201002100
11779a5279040
1232972ab1498
1315b56b67628
149992a84c28
15531ae2a685
hex2e9ce8dc74

200201002100 has 144 divisors (see below), whose sum is σ = 481720001280. Its totient is φ = 71610739200.

The previous prime is 200201002073. The next prime is 200201002103. The reversal of 200201002100 is 1200102002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201002103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24067142 + ... + 24075458.

Almost surely, 2200201002100 is an apocalyptic number.

200201002100 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 200201002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240860000640).

200201002100 is an abundant number, since it is smaller than the sum of its proper divisors (281518999180).

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

200201002100 is a wasteful number, since it uses less digits than its factorization.

200201002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8698 (or 8691 counting only the distinct ones).

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

Adding to 200201002100 its reverse (1200102002), we get a palindrome (201401104102).

The spelling of 200201002100 in words is "two hundred billion, two hundred one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 277 316 395 550 554 790 869 1100 1108 1385 1580 1738 1975 2770 3047 3476 3950 4345 5540 6094 6925 7900 8317 8690 12188 13850 15235 16634 17380 21725 21883 27700 30470 33268 41585 43450 43766 60940 76175 83170 86900 87532 91487 109415 152350 166340 182974 207925 218830 240713 304700 365948 415850 437660 457435 481426 547075 657043 831700 914870 962852 1094150 1203565 1314086 1829740 2188300 2287175 2303809 2407130 2628172 3285215 4574350 4607618 4814260 6017825 6570430 7227473 9148700 9215236 11519045 12035650 13140860 14454946 16426075 23038090 24071300 25341899 28909892 32852150 36137365 46076180 50683798 57595225 65704300 72274730 101367596 115190450 126709495 144549460 180686825 182000911 230380900 253418990 361373650 364001822 506837980 633547475 722747300 728003644 910004555 1267094950 1820009110 2002010021 2534189900 3640018220 4004020042 4550022775 8008040084 9100045550 10010050105 18200091100 20020100210 40040200420 50050250525 100100501050 200201002100