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102202010220 = 223533718112791
BaseRepresentation
bin101111100101110110…
…1101110101001101100
3100202210122010001101210
41133023231232221230
53133302203311340
6114541223434420
710245442516242
oct1371355565154
9322718101353
10102202010220
113a386408a62
12179832b5a10
139839a9607b
144d376a2792
1529d2702180
hex17cbb6ea6c

102202010220 has 96 divisors (see below), whose sum is σ = 287276161536. Its totient is φ = 27148262400.

The previous prime is 102202010159. The next prime is 102202010231. The reversal of 102202010220 is 22010202201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102202010196 and 102202010205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36617025 + ... + 36619815.

It is an arithmetic number, because the mean of its divisors is an integer number (2992460016).

Almost surely, 2102202010220 is an apocalyptic number.

102202010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202010220 is an abundant number, since it is smaller than the sum of its proper divisors (185074151316).

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

102202010220 is a wasteful number, since it uses less digits than its factorization.

102202010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102202010220 its reverse (22010202201), we get a palindrome (124212212421).

The spelling of 102202010220 in words is "one hundred two billion, two hundred two million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 337 674 1011 1348 1685 1811 2022 2791 3370 3622 4044 5055 5433 5582 6740 7244 8373 9055 10110 10866 11164 13955 16746 18110 20220 21732 27165 27910 33492 36220 41865 54330 55820 83730 108660 167460 610307 940567 1220614 1830921 1881134 2441228 2821701 3051535 3661842 3762268 4702835 5054501 5643402 6103070 7323684 9154605 9405670 10109002 11286804 12206140 14108505 15163503 18309210 18811340 20218004 25272505 28217010 30327006 36618420 50545010 56434020 60654012 75817515 101090020 151635030 303270060 1703366837 3406733674 5110100511 6813467348 8516834185 10220201022 17033668370 20440402044 25550502555 34067336740 51101005110 102202010220