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20012020220200 = 2352457822126633
BaseRepresentation
bin1001000110011011010010…
…10110110100000100101000
32121212010112002121221220111
410203031221112310010220
510110334104134021300
6110321221205104104
74133551342142431
oct443155126640450
977763462557814
1020012020220200
11641606077a418
1222b25690b8034
13b221826a7c78
144d2830820488
1524a85a29c9ba
hex1233695b4128

20012020220200 has 96 divisors (see below), whose sum is σ = 46637181781560. Its totient is φ = 7986020659200.

The previous prime is 20012020220177. The next prime is 20012020220233. The reversal of 20012020220200 is 202202021002.

It can be written as a sum of positive squares in 12 ways, for example, as 15399172975684 + 4612847244516 = 3924178^2 + 2147754^2 .

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, 751386084 + ... + 751412716.

Almost surely, 220012020220200 is an apocalyptic number.

20012020220200 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 20012020220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23318590890780).

20012020220200 is an abundant number, since it is smaller than the sum of its proper divisors (26625161561360).

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

20012020220200 is a wasteful number, since it uses less digits than its factorization.

20012020220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35327 (or 35318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20012020220200 its reverse (202202021002), we get a palindrome (20214222241202).

The spelling of 20012020220200 in words is "twenty trillion, twelve billion, twenty million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 457 914 1828 2285 3656 4570 8221 9140 11425 16442 18280 22850 26633 32884 41105 45700 53266 65768 82210 91400 106532 133165 164420 205525 213064 266330 328840 411050 532660 665825 822100 1065320 1331650 1644200 2663300 3756997 5326600 7513994 12171281 15027988 18784985 24342562 30055976 37569970 48685124 60856405 75139940 93924925 97370248 121712810 150279880 187849850 218949893 243425620 304282025 375699700 437899786 486851240 608564050 751399400 875799572 1094749465 1217128100 1751599144 2189498930 2434256200 4378997860 5473747325 8757995720 10947494650 21894989300 43789978600 100060101101 200120202202 400240404404 500300505505 800480808808 1000601011010 2001202022020 2501502527525 4002404044040 5003005055050 10006010110100 20012020220200