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2200132200020 = 22519231831137483
BaseRepresentation
bin100000000001000010000…
…110010010011001010100
321210022220222212222210112
4200001002012102121110
5242021332320400040
64402420552342152
7314645220064616
oct40010206223124
97708828788715
102200132200020
117790862a68a7
122b64979a4958
1312c61908c4c1
14786b6344db6
153c36cd67365
hex20042192654

2200132200020 has 96 divisors (see below), whose sum is σ = 5077713070080. Its totient is φ = 797043646080.

The previous prime is 2200132199933. The next prime is 2200132200037. The reversal of 2200132200020 is 200022310022.

It is a junction number, because it is equal to n+sod(n) for n = 2200132199968 and 2200132200004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15934199 + ... + 16071681.

It is an arithmetic number, because the mean of its divisors is an integer number (52892844480).

Almost surely, 22200132200020 is an apocalyptic number.

2200132200020 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 2200132200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538856535040).

2200132200020 is an abundant number, since it is smaller than the sum of its proper divisors (2877580870060).

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

2200132200020 is a wasteful number, since it uses less digits than its factorization.

2200132200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139365 (or 139363 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 2200132200020 its reverse (200022310022), we get a palindrome (2400154510042).

The spelling of 2200132200020 in words is "two trillion, two hundred billion, one hundred thirty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1748 1831 2185 3662 4370 7324 8740 9155 18310 34789 36620 42113 69578 84226 137483 139156 168452 173945 210565 274966 347890 421130 549932 687415 695780 800147 842260 1374830 1600294 2612177 2749660 3162109 3200588 4000735 5224354 6324218 8001470 10448708 12648436 13060885 15810545 16002940 26121770 31621090 52243540 60080071 63242180 120160142 240320284 251731373 300400355 503462746 600800710 1006925492 1201601420 1258656865 2517313730 4782896087 5034627460 5789821579 9565792174 11579643158 19131584348 23159286316 23914480435 28949107895 47828960870 57898215790 95657921740 110006610001 115796431580 220013220002 440026440004 550033050005 1100066100010 2200132200020