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2200100211220 = 2255314891393933
BaseRepresentation
bin100000000001000000001…
…100010000101000010100
321210022211202200210102011
4200001000030100220110
5242021301123224340
64402413450554004
7314644351144042
oct40010014205024
97708752623364
102200100211220
1177906a23817a
122b6489138904
1312c61256c212
14786b1db9392
153c36a1490ea
hex20040310a14

2200100211220 has 48 divisors (see below), whose sum is σ = 4710549044880. Its totient is φ = 862855059456.

The previous prime is 2200100211217. The next prime is 2200100211223. The reversal of 2200100211220 is 221120010022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2200100211217) and next prime (2200100211223).

It can be written as a sum of positive squares in 8 ways, for example, as 285718044676 + 1914382166544 = 534526^2 + 1383612^2 .

It is a super-2 number, since 2×22001002112202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2200100211220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200100211223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881374 + ... + 2275306.

It is an arithmetic number, because the mean of its divisors is an integer number (98136438435).

Almost surely, 22200100211220 is an apocalyptic number.

2200100211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200100211220 is an abundant number, since it is smaller than the sum of its proper divisors (2510448833660).

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

2200100211220 is a wasteful number, since it uses less digits than its factorization.

2200100211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395484 (or 1395482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2200100211220 its reverse (221120010022), we get a palindrome (2421220221242).

The spelling of 2200100211220 in words is "two trillion, two hundred billion, one hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1489 2978 5956 7445 14890 29780 78917 157834 315668 394585 789170 1393933 1578340 2787866 5575732 6969665 13939330 27878660 73878449 147756898 295513796 369392245 738784490 1477568980 2075566237 4151132474 8302264948 10377831185 20755662370 41511324740 110005010561 220010021122 440020042244 550025052805 1100050105610 2200100211220