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11211341020 = 22511195934523
BaseRepresentation
bin10100111000011111…
…10111110011011100
31001221100010010121121
422130033313303130
5140430100403040
65052253540324
7544553553265
oct123417676334
931840103547
1011211341020
1148335674a0
12220a7a46a4
1310989529c9
14784da596c
154593d8c4a
hex29c3f7cdc

11211341020 has 96 divisors (see below), whose sum is σ = 27087540480. Its totient is φ = 3854914560.

The previous prime is 11211340997. The next prime is 11211341081. The reversal of 11211341020 is 2014311211.

It is a junction number, because it is equal to n+sod(n) for n = 11211340985 and 11211341003.

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, 2476479 + ... + 2481001.

It is an arithmetic number, because the mean of its divisors is an integer number (282161880).

Almost surely, 211211341020 is an apocalyptic number.

11211341020 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 11211341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543770240).

11211341020 is an abundant number, since it is smaller than the sum of its proper divisors (15876199460).

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

11211341020 is a wasteful number, since it uses less digits than its factorization.

11211341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11211341020 its reverse (2014311211), we get a palindrome (13225652231).

The spelling of 11211341020 in words is "eleven billion, two hundred eleven million, three hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 593 836 1045 1186 2090 2372 2965 4180 4523 5930 6523 9046 11267 11860 13046 18092 22534 22615 26092 32615 45068 45230 49753 56335 65230 85937 90460 99506 112670 123937 130460 171874 199012 225340 247874 248765 343748 429685 495748 497530 619685 859370 945307 995060 1239370 1718740 1890614 2478740 2682139 3781228 4726535 5364278 9453070 10728556 13410695 18906140 26821390 29503529 50960641 53642780 59007058 101921282 118014116 147517645 203842564 254803205 295035290 509606410 560567051 590070580 1019212820 1121134102 2242268204 2802835255 5605670510 11211341020