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1002201100200 = 233252556778389
BaseRepresentation
bin11101001010101111101…
…01110010111110101000
310112210212010011220022200
432211113311302332220
5112410001440201300
62044223235420200
7132256322536536
oct16452765627650
93483763156280
101002201100200
11357038437073
12142297154660
13736792c3bb1
14367148cd156
151b109aee200
hexe957d72fa8

1002201100200 has 72 divisors (see below), whose sum is σ = 3365725367550. Its totient is φ = 267253626240.

The previous prime is 1002201100169. The next prime is 1002201100211. The reversal of 1002201100200 is 20011022001.

It can be written as a sum of positive squares in 3 ways, for example, as 936183964356 + 66017135844 = 967566^2 + 256938^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 278387395 + ... + 278390994.

Almost surely, 21002201100200 is an apocalyptic number.

1002201100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002201100200 is an abundant number, since it is smaller than the sum of its proper divisors (2363524267350).

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

1002201100200 is a wasteful number, since it uses less digits than its factorization.

1002201100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556778411 (or 556778399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002201100200 its reverse (20011022001), we get a palindrome (1022212122201).

The spelling of 1002201100200 in words is "one trillion, two billion, two hundred one million, one hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 556778389 1113556778 1670335167 2227113556 2783891945 3340670334 4454227112 5011005501 5567783890 6681340668 8351675835 10022011002 11135567780 13362681336 13919459725 16703351670 20044022004 22271135560 25055027505 27838919450 33406703340 40088044008 41758379175 50110055010 55677838900 66813406680 83516758350 100220110020 111355677800 125275137525 167033516700 200440220040 250550275050 334067033400 501100550100 1002201100200