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230121237420 = 223255338362981
BaseRepresentation
bin1101011001010001001…
…0110110101110101100
3210222222112201002100100
43112110102312232230
512232242014044140
6253414412431100
722424422146504
oct3262422665654
9728875632310
10230121237420
1189659491748
1238723178490
1318914852499
14b1d0688a04
155ebca4a530
hex35944b6bac

230121237420 has 144 divisors (see below), whose sum is σ = 713073134592. Its totient is φ = 60049666560.

The previous prime is 230121237397. The next prime is 230121237421. The reversal of 230121237420 is 24732121032.

230121237420 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 2 + 1 + 237 + 420 = 666.

It is not an unprimeable number, because it can be changed into a prime (230121237421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3622330 + ... + 3685310.

It is an arithmetic number, because the mean of its divisors is an integer number (4951896768).

Almost surely, 2230121237420 is an apocalyptic number.

230121237420 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 230121237420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356536567296).

230121237420 is an abundant number, since it is smaller than the sum of its proper divisors (482951897172).

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

230121237420 is a wasteful number, since it uses less digits than its factorization.

230121237420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63432 (or 63427 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 230121237420 its reverse (24732121032), we get a palindrome (254853358452).

The spelling of 230121237420 in words is "two hundred thirty billion, one hundred twenty-one million, two hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 383 477 530 636 766 795 954 1060 1149 1532 1590 1908 1915 2298 2385 3180 3447 3830 4596 4770 5745 6894 7660 9540 11490 13788 17235 20299 22980 34470 40598 60897 62981 68940 81196 101495 121794 125962 182691 188943 202990 243588 251924 304485 314905 365382 377886 405980 566829 608970 629810 730764 755772 913455 944715 1133658 1217940 1259620 1826910 1889430 2267316 2834145 3337993 3653820 3778860 5668290 6675986 10013979 11336580 13351972 16689965 20027958 24121723 30041937 33379930 40055916 48243446 50069895 60083874 66759860 72365169 96486892 100139790 120167748 120608615 144730338 150209685 200279580 217095507 241217230 289460676 300419370 361825845 434191014 482434460 600838740 723651690 868382028 1085477535 1278451319 1447303380 2170955070 2556902638 3835353957 4341910140 5113805276 6392256595 7670707914 11506061871 12784513190 15341415828 19176769785 23012123742 25569026380 38353539570 46024247484 57530309355 76707079140 115060618710 230121237420