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2002210020200 = 235213898652593
BaseRepresentation
bin11101001000101101000…
…001000101101101101000
321002102001110101111202002
4131020231001011231220
5230301011231121300
64131445205230132
7264440426236445
oct35105501055550
97072043344662
102002210020200
117021503a4765
12284060102348
13116a66393830
146cc9c1b89cc
15371370285d5
hex1d22d045b68

2002210020200 has 96 divisors (see below), whose sum is σ = 5069554824600. Its totient is φ = 730970972160.

The previous prime is 2002210020199. The next prime is 2002210020233. The reversal of 2002210020200 is 20200122002.

It can be written as a sum of positive squares in 12 ways, for example, as 66210494596 + 1935999525604 = 257314^2 + 1391402^2 .

It is a super-4 number, since 4×20022100202004 (a number of 50 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4094897 + ... + 4557696.

Almost surely, 22002210020200 is an apocalyptic number.

2002210020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002210020200 is an abundant number, since it is smaller than the sum of its proper divisors (3067344804400).

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

2002210020200 is a wasteful number, since it uses less digits than its factorization.

2002210020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8652711 (or 8652702 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2002210020200 its reverse (20200122002), we get a palindrome (2022410142202).

The spelling of 2002210020200 in words is "two trillion, two billion, two hundred ten million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 89 100 104 130 178 200 260 325 356 445 520 650 712 890 1157 1300 1780 2225 2314 2600 3560 4450 4628 5785 8900 9256 11570 17800 23140 28925 46280 57850 115700 231400 8652593 17305186 34610372 43262965 69220744 86525930 112483709 173051860 216314825 224967418 346103720 432629650 449934836 562418545 770080777 865259300 899869672 1124837090 1540161554 1730518600 2249674180 2812092725 3080323108 3850403885 4499348360 5624185450 6160646216 7700807770 10011050101 11248370900 15401615540 19252019425 20022100202 22496741800 30803231080 38504038850 40044200404 50055250505 77008077700 80088400808 100110501010 154016155400 200221002020 250276252525 400442004040 500552505050 1001105010100 2002210020200