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12302130420 = 2233567333851
BaseRepresentation
bin10110111010100001…
…11001110011110100
31011202100121222101000
423131100321303310
5200143321133140
65352421203300
7613600245306
oct133520716364
934670558330
1012302130420
115243260738
122473b60530
13121092a218
14849bc7976
154c0050a30
hex2dd439cf4

12302130420 has 96 divisors (see below), whose sum is σ = 38331296640. Its totient is φ = 3275596800.

The previous prime is 12302130353. The next prime is 12302130473. The reversal of 12302130420 is 2403120321.

12302130420 is a `hidden beast` number, since 1 + 2 + 30 + 213 + 0 + 420 = 666.

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 = 12302130393 and 12302130402.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 346495 + ... + 380345.

It is an arithmetic number, because the mean of its divisors is an integer number (399284340).

Almost surely, 212302130420 is an apocalyptic number.

12302130420 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 12302130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19165648320).

12302130420 is an abundant number, since it is smaller than the sum of its proper divisors (26029166220).

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

12302130420 is a wasteful number, since it uses less digits than its factorization.

12302130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34542 (or 34534 counting only the distinct ones).

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

Adding to 12302130420 its reverse (2403120321), we get a palindrome (14705250741).

The spelling of 12302130420 in words is "twelve billion, three hundred two million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 673 1346 2019 2692 3365 4038 6057 6730 8076 10095 12114 13460 18171 20190 24228 30285 33851 36342 40380 60570 67702 72684 90855 101553 121140 135404 169255 181710 203106 304659 338510 363420 406212 507765 609318 677020 913977 1015530 1218636 1523295 1827954 2031060 3046590 3655908 4569885 6093180 9139770 18279540 22781723 45563446 68345169 91126892 113908615 136690338 205035507 227817230 273380676 341725845 410071014 455634460 615106521 683451690 820142028 1025177535 1230213042 1366903380 2050355070 2460426084 3075532605 4100710140 6151065210 12302130420