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10222100100200 = 2352114374468873
BaseRepresentation
bin1001010011000000010010…
…1001010011010001101000
31100012020000201202100110102
42110300010221103101220
52314434330111201300
633423545025004532
72103344112140312
oct224600451232150
940166021670412
1010222100100200
11329119402063a
121191140783748
13591c2ac76961
14274a763aa7b2
1512ad786ba0d5
hex94c04a53468

10222100100200 has 48 divisors (see below), whose sum is σ = 23768466077580. Its totient is φ = 4088481615360.

The previous prime is 10222100100167. The next prime is 10222100100203. The reversal of 10222100100200 is 200100122201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2429103039364 + 7792997060836 = 1558558^2 + 2791594^2 .

It is not an unprimeable number, because it can be changed into a prime (10222100100203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52964 + ... + 4521836.

Almost surely, 210222100100200 is an apocalyptic number.

10222100100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222100100200 is an abundant number, since it is smaller than the sum of its proper divisors (13546365977380).

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

10222100100200 is a wasteful number, since it uses less digits than its factorization.

10222100100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480326 (or 4480317 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10222100100200 its reverse (200100122201), we get a palindrome (10422200222401).

The spelling of 10222100100200 in words is "ten trillion, two hundred twenty-two billion, one hundred million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 11437 22874 45748 57185 91496 114370 228740 285925 457480 571850 1143700 2287400 4468873 8937746 17875492 22344365 35750984 44688730 89377460 111721825 178754920 223443650 446887300 893774600 51110500501 102221001002 204442002004 255552502505 408884004008 511105005010 1022210010020 1277762512525 2044420020040 2555525025050 5111050050100 10222100100200