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11441020020 = 22359713011511
BaseRepresentation
bin10101010011111000…
…00001110001110100
31002112100022000222020
422221330001301310
5141412400120040
65131140433140
7553343031333
oct125174016164
932470260866
1011441020020
114941180751
1222736a87b0
1311043cbb41
147a76b1d1a
1546e656cd0
hex2a9f01c74

11441020020 has 96 divisors (see below), whose sum is σ = 32411425536. Its totient is φ = 3015168000.

The previous prime is 11441019983. The next prime is 11441020033. The reversal of 11441020020 is 2002014411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7571065 + ... + 7572575.

It is an arithmetic number, because the mean of its divisors is an integer number (337619016).

Almost surely, 211441020020 is an apocalyptic number.

11441020020 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 11441020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16205712768).

11441020020 is an abundant number, since it is smaller than the sum of its proper divisors (20970405516).

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

11441020020 is a wasteful number, since it uses less digits than its factorization.

11441020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11441020020 its reverse (2002014411), we get a palindrome (13443034431).

The spelling of 11441020020 in words is "eleven billion, four hundred forty-one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1301 1455 1511 1940 2602 2910 3022 3903 4533 5204 5820 6044 6505 7555 7806 9066 13010 15110 15612 18132 19515 22665 26020 30220 39030 45330 78060 90660 126197 146567 252394 293134 378591 439701 504788 586268 630985 732835 757182 879402 1261970 1465670 1514364 1758804 1892955 1965811 2198505 2523940 2931340 3785910 3931622 4397010 5897433 7571820 7863244 8794020 9829055 11794866 19658110 23589732 29487165 39316220 58974330 117948660 190683667 381367334 572051001 762734668 953418335 1144102002 1906836670 2288204004 2860255005 3813673340 5720510010 11441020020