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1002201101200 = 245213192730981
BaseRepresentation
bin11101001010101111101…
…01110011001110010000
310112210212010011221200201
432211113311303032100
5112410001440214300
62044223235424544
7132256322542465
oct16452765631620
93483763157621
101002201101200
113570384378a2
12142297155154
13736792c44a0
14367148cd66c
151b109aee66a
hexe957d73390

1002201101200 has 60 divisors (see below), whose sum is σ = 2593002631828. Its totient is φ = 370043481600.

The previous prime is 1002201101173. The next prime is 1002201101203. The reversal of 1002201101200 is 21011022001.

It can be written as a sum of positive squares in 6 ways, for example, as 48773839104 + 953427262096 = 220848^2 + 976436^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1002201101203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96360291 + ... + 96370690.

Almost surely, 21002201101200 is an apocalyptic number.

1002201101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002201101200 is an abundant number, since it is smaller than the sum of its proper divisors (1590801530628).

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

1002201101200 is a wasteful number, since it uses less digits than its factorization.

1002201101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192731012 (or 192731001 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002201101200 its reverse (21011022001), we get a palindrome (1023212123201).

The spelling of 1002201101200 in words is "one trillion, two billion, two hundred one million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 192730981 385461962 770923924 963654905 1541847848 1927309810 2505502753 3083695696 3854619620 4818274525 5011005506 7709239240 9636549050 10022011012 12527513765 15418478480 19273098100 20044022024 25055027530 38546196200 40088044048 50110055060 62637568825 77092392400 100220110120 125275137650 200440220240 250550275300 501100550600 1002201101200