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20123324320 = 2551117239563
BaseRepresentation
bin10010101111011100…
…011000111110100000
31220221102120210102011
4102233130120332200
5312203032334240
613124452402304
71311450302011
oct225734307640
956842523364
1020123324320
118597101450
123a97316394
131b890c69c8
14d8c829008
157cb9cb6ea
hex4af718fa0

20123324320 has 144 divisors (see below), whose sum is σ = 55094927328. Its totient is φ = 6886952960.

The previous prime is 20123324279. The next prime is 20123324369. The reversal of 20123324320 is 2342332102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20123324291 and 20123324300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488859 + ... + 528421.

It is an arithmetic number, because the mean of its divisors is an integer number (382603662).

Almost surely, 220123324320 is an apocalyptic number.

20123324320 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 20123324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27547463664).

20123324320 is an abundant number, since it is smaller than the sum of its proper divisors (34971603008).

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

20123324320 is a wasteful number, since it uses less digits than its factorization.

20123324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39623 (or 39598 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20123324320 its reverse (2342332102), we get a palindrome (22465656422).

It can be divided in two parts, 20123 and 324320, that added together give a palindrome (344443).

The spelling of 20123324320 in words is "twenty billion, one hundred twenty-three million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 289 340 352 374 440 544 578 680 748 880 935 1156 1360 1445 1496 1760 1870 2312 2720 2890 2992 3179 3740 4624 5780 5984 6358 7480 9248 11560 12716 14960 15895 23120 25432 29920 31790 39563 46240 50864 63580 79126 101728 127160 158252 197815 254320 316504 395630 435193 508640 633008 672571 791260 870386 1266016 1345142 1582520 1740772 2175965 2690284 3165040 3362855 3481544 4351930 5380568 6330080 6725710 6963088 7398281 8703860 10761136 11433707 13451420 13926176 14796562 17407720 21522272 22867414 26902840 29593124 34815440 36991405 45734828 53805680 57168535 59186248 69630880 73982810 91469656 107611360 114337070 118372496 125770777 147965620 182939312 228674140 236744992 251541554 295931240 365878624 457348280 503083108 591862480 628853885 914696560 1006166216 1183724960 1257707770 1829393120 2012332432 2515415540 4024664864 5030831080 10061662160 20123324320