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20101202220 = 223511171791551
BaseRepresentation
bin10010101110001000…
…000000000100101100
31220212212221212121010
4102232020000010230
5312131401432340
613122342305220
71311061254051
oct225610000454
956785855533
1020101202220
118585671820
123a8ba28210
131b8464c6c8
14d8990b028
157c9aabb80
hex4ae20012c

20101202220 has 96 divisors (see below), whose sum is σ = 65011838976. Its totient is φ = 4586368000.

The previous prime is 20101202207. The next prime is 20101202227. The reversal of 20101202220 is 2220210102.

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 = 20101202196 and 20101202205.

It is not an unprimeable number, because it can be changed into a prime (20101202227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884556 + ... + 906995.

It is an arithmetic number, because the mean of its divisors is an integer number (677206656).

Almost surely, 220101202220 is an apocalyptic number.

20101202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101202220 is an abundant number, since it is smaller than the sum of its proper divisors (44910636756).

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

20101202220 is a wasteful number, since it uses less digits than its factorization.

20101202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791591 (or 1791589 counting only the distinct ones).

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

Adding to 20101202220 its reverse (2220210102), we get a palindrome (22321412322).

The spelling of 20101202220 in words is "twenty billion, one hundred one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 1791551 3583102 5374653 7166204 8957755 10749306 17915510 19707061 21498612 26873265 30456367 35831020 39414122 53746530 59121183 60912734 78828244 91369101 98535305 107493060 118242366 121825468 152281835 182738202 197070610 236484732 295605915 304563670 335020037 365476404 394141220 456845505 591211830 609127340 670040074 913691010 1005060111 1182423660 1340080148 1675100185 1827382020 2010120222 3350200370 4020240444 5025300555 6700400740 10050601110 20101202220