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2200211302120 = 2351339727493877
BaseRepresentation
bin100000000001000110110…
…100000010011011101000
321210100010111201210110221
4200001012310002123220
5242022013043131440
64402432500015424
7314650200331156
oct40010664023350
97710114653427
102200211302120
11779116a14437
122b64ba391574
1312c62c596c90
14786c2a563d6
153c374c8ed4a
hex20046d026e8

2200211302120 has 128 divisors (see below), whose sum is σ = 5348033460000. Its totient is φ = 809835687936.

The previous prime is 2200211302073. The next prime is 2200211302141. The reversal of 2200211302120 is 212031120022.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 37905753636 + 2162305548484 = 194694^2 + 1470478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2200211302094 and 2200211302103.

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, 567501622 + ... + 567505498.

Almost surely, 22200211302120 is an apocalyptic number.

2200211302120 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 2200211302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674016730000).

2200211302120 is an abundant number, since it is smaller than the sum of its proper divisors (3147822157880).

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

2200211302120 is a wasteful number, since it uses less digits than its factorization.

2200211302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2200211302120 its reverse (212031120022), we get a palindrome (2412242422142).

The spelling of 2200211302120 in words is "two trillion, two hundred billion, two hundred eleven million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 397 520 794 1588 1985 2749 3176 3877 3970 5161 5498 7754 7940 10322 10996 13745 15508 15880 19385 20644 21992 25805 27490 31016 35737 38770 41288 50401 51610 54980 71474 77540 100802 103220 109960 142948 155080 178685 201604 206440 252005 285896 357370 403208 504010 714740 1008020 1091353 1429480 1539169 2016040 2182706 3078338 4365412 5456765 6156676 7695845 8730824 10657873 10913530 12313352 14187589 15391690 20009197 21315746 21827060 28375178 30783380 40018394 42631492 43654120 53289365 56750356 61566760 70937945 80036788 85262984 100045985 106578730 113500712 138552349 141875890 160073576 200091970 213157460 277104698 283751780 400183940 426314920 554209396 567503560 692761745 800367880 1108418792 1385523490 2771046980 4231175581 5542093960 8462351162 16924702324 21155877905 33849404648 42311755810 55005282553 84623511620 110010565106 169247023240 220021130212 275026412765 440042260424 550052825530 1100105651060 2200211302120