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102222020300 = 225210923933919
BaseRepresentation
bin101111100110011101…
…0000011111011001100
3100202212000202200001212
41133030322003323030
53133322314122200
6114543220353552
710246104556541
oct1371472037314
9322760680055
10102222020300
113a396735914
1217989b458b8
139840c80c5a
144d3a1d0bc8
1529d4356035
hex17cce83ecc

102222020300 has 72 divisors (see below), whose sum is σ = 224007537600. Its totient is φ = 40486417920.

The previous prime is 102222020237. The next prime is 102222020333. The reversal of 102222020300 is 3020222201.

It is a super-2 number, since 2×1022220203002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26081741 + ... + 26085659.

It is an arithmetic number, because the mean of its divisors is an integer number (3111215800).

Almost surely, 2102222020300 is an apocalyptic number.

102222020300 is a gapful number since it is divisible by the number (10) 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 102222020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112003768800).

102222020300 is an abundant number, since it is smaller than the sum of its proper divisors (121785517300).

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

102222020300 is a wasteful number, since it uses less digits than its factorization.

102222020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6428 counting only the distinct ones).

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

Adding to 102222020300 its reverse (3020222201), we get a palindrome (105242242501).

The spelling of 102222020300 in words is "one hundred two billion, two hundred twenty-two million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2393 2725 3919 4786 5450 7838 9572 10900 11965 15676 19595 23930 39190 47860 59825 78380 97975 119650 195950 239300 260837 391900 427171 521674 854342 1043348 1304185 1708684 2135855 2608370 4271710 5216740 6520925 8543420 9378167 10679275 13041850 18756334 21358550 26083700 37512668 42717100 46890835 93781670 187563340 234454175 468908350 937816700 1022220203 2044440406 4088880812 5111101015 10222202030 20444404060 25555505075 51111010150 102222020300