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102100111220 = 225101913993581
BaseRepresentation
bin101111100010110100…
…1000000111101110100
3100202112112101001020202
41133011221000331310
53133100112024340
6114523143420032
710243064424512
oct1370551007564
9322475331222
10102100111220
113a33393a808
1217955154618
1398219390c3
144d27d394b2
1529c87c4c15
hex17c5a40f74

102100111220 has 48 divisors (see below), whose sum is σ = 214834032000. Its totient is φ = 40759416960.

The previous prime is 102100111151. The next prime is 102100111237. The reversal of 102100111220 is 22111001201.

It is a super-2 number, since 2×1021001112202 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 28509830 + ... + 28513410.

It is an arithmetic number, because the mean of its divisors is an integer number (4475709000).

Almost surely, 2102100111220 is an apocalyptic number.

102100111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100111220 is an abundant number, since it is smaller than the sum of its proper divisors (112733920780).

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

102100111220 is a wasteful number, since it uses less digits than its factorization.

102100111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102100111220 its reverse (22111001201), we get a palindrome (124211112421).

The spelling of 102100111220 in words is "one hundred two billion, one hundred million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1019 1399 2038 2798 3581 4076 5095 5596 6995 7162 10190 13990 14324 17905 20380 27980 35810 71620 1425581 2851162 3649039 5009819 5702324 7127905 7298078 10019638 14255810 14596156 18245195 20039276 25049095 28511620 36490390 50098190 72980780 100196380 5105005561 10210011122 20420022244 25525027805 51050055610 102100111220