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20845113120 = 25325131113521
BaseRepresentation
bin10011011010011101…
…110010111100100000
31222210201202110111200
4103122131302330200
5320142322104440
613324235041200
71335363352356
oct233235627440
958721673450
1020845113120
118927583017
124058ba0200
131c727c4780
14101a6357d6
15820054c30
hex4da772f20

20845113120 has 144 divisors (see below), whose sum is σ = 76605859512. Its totient is φ = 5131100160.

The previous prime is 20845113077. The next prime is 20845113127. The reversal of 20845113120 is 2131154802.

20845113120 is a `hidden beast` number, since 20 + 8 + 4 + 511 + 3 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7692693264 + 13152419856 = 87708^2 + 114684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×208451131202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20845113127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538041 + ... + 575480.

Almost surely, 220845113120 is an apocalyptic number.

20845113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20845113120 is an abundant number, since it is smaller than the sum of its proper divisors (55760746392).

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

20845113120 is a wasteful number, since it uses less digits than its factorization.

20845113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113555 (or 1113544 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 20845113120 its reverse (2131154802), we get a palindrome (22976267922).

The spelling of 20845113120 in words is "twenty billion, eight hundred forty-five million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 1113521 2227042 3340563 4454084 5567605 6681126 8908168 10021689 11135210 13362252 14475773 16702815 17816336 20043378 22270420 26724504 28951546 33405630 35632672 40086756 43427319 44540840 50108445 53449008 57903092 66811260 72378865 80173512 86854638 89081680 100216890 106898016 115806184 130281957 133622520 144757730 160347024 173709276 178163360 200433780 217136595 231612368 260563914 267245040 289515460 320694048 347418552 400867560 434273190 463224736 521127828 534490080 579030920 651409785 694837104 801735120 868546380 1042255656 1158061840 1302819570 1389674208 1603470240 1737092760 2084511312 2316123680 2605639140 3474185520 4169022624 5211278280 6948371040 10422556560 20845113120