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220132231020 = 223251327236431
BaseRepresentation
bin1100110100000011100…
…1110100011101101100
3210001012101121222121100
43031000321310131230
512101312322343040
6245043301403100
721622040043042
oct3150071643554
9701171558540
10220132231020
11853a29a6359
12367b5a09490
13179b2213c00
14a923b88392
155ad5b0eb30
hex3340e7476c

220132231020 has 108 divisors (see below), whose sum is σ = 723049812576. Its totient is φ = 54186387840.

The previous prime is 220132231001. The next prime is 220132231037. The reversal of 220132231020 is 20132231022.

220132231020 is a `hidden beast` number, since 220 + 132 + 2 + 310 + 2 + 0 = 666.

220132231020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220132230984 and 220132231002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3587796 + ... + 3648635.

It is an arithmetic number, because the mean of its divisors is an integer number (6694905672).

Almost surely, 2220132231020 is an apocalyptic number.

220132231020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220132231020 is an abundant number, since it is smaller than the sum of its proper divisors (502917581556).

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

220132231020 is a wasteful number, since it uses less digits than its factorization.

220132231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236472 (or 7236454 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220132231020 its reverse (20132231022), we get a palindrome (240264462042).

The spelling of 220132231020 in words is "two hundred twenty billion, one hundred thirty-two million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 780 845 1014 1170 1521 1690 2028 2340 2535 3042 3380 5070 6084 7605 10140 15210 30420 7236431 14472862 21709293 28945724 36182155 43418586 65127879 72364310 86837172 94073603 108546465 130255758 144728620 188147206 217092930 260511516 282220809 325639395 376294412 434185860 470368015 564441618 651278790 846662427 940736030 1128883236 1222956839 1302557580 1411104045 1693324854 1881472060 2445913678 2822208090 3386649708 3668870517 4233312135 4891827356 5644416180 6114784195 7337741034 8466624270 11006611551 12229568390 14675482068 16933248540 18344352585 22013223102 24459136780 36688705170 44026446204 55033057755 73377410340 110066115510 220132231020