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20111032220 = 22519671037669
BaseRepresentation
bin10010101110101101…
…011111111110011100
31220220120110021211012
4102232231133332130
5312141411012340
613123333114352
71311240644666
oct225655377634
956816407735
1020111032220
118590176194
123a931889b8
131b866b1a86
14d8ad49536
157ca89e565
hex4aeb5ff9c

20111032220 has 96 divisors (see below), whose sum is σ = 45563481600. Its totient is φ = 7433420544.

The previous prime is 20111032211. The next prime is 20111032273. The reversal of 20111032220 is 2223011102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20111032195 and 20111032204.

It is a congruent number.

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, 2618546 + ... + 2626214.

It is an arithmetic number, because the mean of its divisors is an integer number (474619600).

Almost surely, 220111032220 is an apocalyptic number.

20111032220 is a gapful number since it is divisible by the number (20) 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 20111032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22781740800).

20111032220 is an abundant number, since it is smaller than the sum of its proper divisors (25452449380).

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

20111032220 is a wasteful number, since it uses less digits than its factorization.

20111032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20111032220 its reverse (2223011102), we get a palindrome (22334043322).

The spelling of 20111032220 in words is "twenty billion, one hundred eleven million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 67 76 95 103 134 190 206 268 335 380 412 515 670 1030 1273 1340 1957 2060 2546 3914 5092 6365 6901 7669 7828 9785 12730 13802 15338 19570 25460 27604 30676 34505 38345 39140 69010 76690 131119 138020 145711 153380 262238 291422 513823 524476 582844 655595 728555 789907 1027646 1311190 1457110 1579814 2055292 2569115 2622380 2914220 3159628 3949535 5138230 7899070 9762637 10276460 15008233 15798140 19525274 30016466 39050548 48813185 52923769 60032932 75041165 97626370 105847538 150082330 195252740 211695076 264618845 300164660 529237690 1005551611 1058475380 2011103222 4022206444 5027758055 10055516110 20111032220