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102230222100 = 223523110992497
BaseRepresentation
bin101111100110101100…
…1010110010100010100
3100202212121012100211020
41133031121112110110
53133331414101400
6114544112241140
710246234356516
oct1371531262424
9322777170736
10102230222100
113a3a0327a66
12179908401b0
1398428931a6
144d3b327bb6
1529d4e262a0
hex17cd656514

102230222100 has 72 divisors (see below), whose sum is σ = 305327624448. Its totient is φ = 26381990400.

The previous prime is 102230222099. The next prime is 102230222167. The reversal of 102230222100 is 1222032201.

It is a happy number.

102230222100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102230222100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5486949 + ... + 5505548.

Almost surely, 2102230222100 is an apocalyptic number.

102230222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102230222100 is an abundant number, since it is smaller than the sum of its proper divisors (203097402348).

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

102230222100 is a wasteful number, since it uses less digits than its factorization.

102230222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10992545 (or 10992538 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102230222100 its reverse (1222032201), we get a palindrome (103452254301).

The spelling of 102230222100 in words is "one hundred two billion, two hundred thirty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 10992497 21984994 32977491 43969988 54962485 65954982 109924970 131909964 164887455 219849940 274812425 329774910 340767407 549624850 659549820 681534814 824437275 1022302221 1099249700 1363069628 1648874550 1703837035 2044604442 3297749100 3407674070 4089208884 5111511105 6815348140 8519185175 10223022210 17038370350 20446044420 25557555525 34076740700 51115111050 102230222100