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231013020420 = 2232571314103359
BaseRepresentation
bin1101011100100101110…
…0101111001100000100
3211002021200202100122100
43113021130233030010
512241103313123140
6254043110432100
722455501163110
oct3271134571404
9732250670570
10231013020420
1189a76911496
1238931962630
1318a2752ca30
14b276ca6740
156020ea2530
hex35c972f304

231013020420 has 144 divisors (see below), whose sum is σ = 862448670720. Its totient is φ = 48741205248.

The previous prime is 231013020397. The next prime is 231013020463. The reversal of 231013020420 is 24020310132.

231013020420 is a `hidden beast` number, since 2 + 310 + 130 + 204 + 20 = 666.

231013020420 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 = 231013020393 and 231013020402.

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 47 ways as a sum of consecutive naturals, for example, 7035300 + ... + 7068059.

It is an arithmetic number, because the mean of its divisors is an integer number (5989226880).

Almost surely, 2231013020420 is an apocalyptic number.

231013020420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231013020420 is an abundant number, since it is smaller than the sum of its proper divisors (631435650300).

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

231013020420 is a wasteful number, since it uses less digits than its factorization.

231013020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14103394 (or 14103389 counting only the distinct ones).

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

Adding to 231013020420 its reverse (24020310132), we get a palindrome (255033330552).

The spelling of 231013020420 in words is "two hundred thirty-one billion, thirteen million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 14103359 28206718 42310077 56413436 70516795 84620154 98723513 126930231 141033590 169240308 183343667 197447026 211550385 253860462 282067180 296170539 366687334 394894052 423100770 493617565 507720924 550031001 592341078 634651155 733374668 846201540 888511617 916718335 987235130 1100062002 1184682156 1269302310 1283405669 1480852695 1650093003 1777023234 1833436670 1974470260 2200124004 2538604620 2566811338 2750155005 2961705390 3300186006 3554046468 3666873340 3850217007 4442558085 5133622676 5500310010 5923410780 6417028345 6600372012 7700434014 8250465015 8885116170 11000620020 11550651021 12834056690 15400868028 16500930030 17770232340 19251085035 23101302042 25668113380 33001860060 38502170070 46202604084 57753255105 77004340140 115506510210 231013020420