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12302024020 = 225112131632399
BaseRepresentation
bin10110111010100000…
…11111110101010100
31011202100102120102021
423131100133311110
5200143304232040
65352415022524
7613566323146
oct133520376524
934670376367
1012302024020
115243198800
122473b0aa44
1312108c0970
14849b9ac96
154c002e24a
hex2dd41fd54

12302024020 has 144 divisors (see below), whose sum is σ = 30781094400. Its totient is φ = 4102306560.

The previous prime is 12302024011. The next prime is 12302024023. The reversal of 12302024020 is 2042020321.

It is a junction number, because it is equal to n+sod(n) for n = 12302023985 and 12302024003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302024023) by changing a digit.

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, 5126781 + ... + 5129179.

It is an arithmetic number, because the mean of its divisors is an integer number (213757600).

Almost surely, 212302024020 is an apocalyptic number.

12302024020 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 12302024020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390547200).

12302024020 is an abundant number, since it is smaller than the sum of its proper divisors (18479070380).

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

12302024020 is a wasteful number, since it uses less digits than its factorization.

12302024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12302024020 its reverse (2042020321), we get a palindrome (14344044341).

The spelling of 12302024020 in words is "twelve billion, three hundred two million, twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 163 220 242 260 286 326 484 572 605 652 715 815 1210 1430 1573 1630 1793 2119 2399 2420 2860 3146 3260 3586 4238 4798 6292 7172 7865 8476 8965 9596 10595 11995 15730 17930 19723 21190 23309 23990 26389 31187 31460 35860 39446 42380 46618 47980 52778 62374 78892 93236 98615 105556 116545 124748 131945 155935 197230 233090 256399 263890 290279 311870 343057 391037 394460 466180 512798 527780 580558 623740 686114 782074 1025596 1161116 1281995 1372228 1451395 1564148 1715285 1955185 2563990 2902790 3430570 3773627 3910370 4301407 5083481 5127980 5805580 6861140 7547254 7820740 8602814 10166962 15094508 17205628 18868135 20333924 21507035 25417405 37736270 43014070 47315477 50834810 55918291 75472540 86028140 94630954 101669620 111836582 189261908 223673164 236577385 279591455 473154770 559182910 615101201 946309540 1118365820 1230202402 2460404804 3075506005 6151012010 12302024020