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201002100200 = 23521197941903
BaseRepresentation
bin1011101100110010101…
…0001010010111101000
3201012211011220122112122
42323030222022113220
511243123014201300
6232201124330412
720344006442636
oct2731452122750
9635734818478
10201002100200
1178276499990
1232b57243a08
1315c53b13285
149a2b218356
15536641cc85
hex2ecca8a5e8

201002100200 has 96 divisors (see below), whose sum is σ = 515070783360. Its totient is φ = 72338073600.

The previous prime is 201002100199. The next prime is 201002100253. The reversal of 201002100200 is 2001200102.

201002100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257552 + ... + 684351.

It is an arithmetic number, because the mean of its divisors is an integer number (5365320660).

Almost surely, 2201002100200 is an apocalyptic number.

201002100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002100200 is an abundant number, since it is smaller than the sum of its proper divisors (314068683160).

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

201002100200 is a wasteful number, since it uses less digits than its factorization.

201002100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942027 (or 942018 counting only the distinct ones).

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

Adding to 201002100200 its reverse (2001200102), we get a palindrome (203003300302).

The spelling of 201002100200 in words is "two hundred one billion, two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 194 200 220 275 388 440 485 550 776 970 1067 1100 1940 2134 2200 2425 3880 4268 4850 5335 8536 9700 10670 19400 21340 26675 42680 53350 106700 213400 941903 1883806 3767612 4709515 7535224 9419030 10360933 18838060 20721866 23547575 37676120 41443732 47095150 51804665 82887464 91364591 94190300 103609330 182729182 188380600 207218660 259023325 365458364 414437320 456822955 518046650 730916728 913645910 1005010501 1036093300 1827291820 2010021002 2072186600 2284114775 3654583640 4020042004 4568229550 5025052505 8040084008 9136459100 10050105010 18272918200 20100210020 25125262525 40200420040 50250525050 100501050100 201002100200