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230021203312032 = 253111511442537147
BaseRepresentation
bin110100010011001111111100…
…000111010011110110100000
31010011102210221011002200002120
4310103033330013103312200
5220122131411021441112
62133114140525144240
766310324564132206
oct6423177407236640
91104383834080076
10230021203312032
11673234986a1580
122196b7976bb080
139b46ba24898c2
1440b312b009076
151b8d5a5575e8c
hexd133fc1d3da0

230021203312032 has 96 divisors (see below), whose sum is σ = 663059315003904. Its totient is φ = 69241783008000.

The previous prime is 230021203311979. The next prime is 230021203312093. The reversal of 230021203312032 is 230213302120032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2300212033120322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230021203311993 and 230021203312011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721109118 + ... + 721428029.

It is an arithmetic number, because the mean of its divisors is an integer number (6906867864624).

Almost surely, 2230021203312032 is an apocalyptic number.

230021203312032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230021203312032 is an abundant number, since it is smaller than the sum of its proper divisors (433038111691872).

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

230021203312032 is a wasteful number, since it uses less digits than its factorization.

230021203312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442537322 (or 1442537314 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 230021203312032 its reverse (230213302120032), we get a palindrome (460234505432064).

The spelling of 230021203312032 in words is "two hundred thirty trillion, twenty-one billion, two hundred three million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 151 176 264 302 352 453 528 604 906 1056 1208 1661 1812 2416 3322 3624 4832 4983 6644 7248 9966 13288 14496 19932 26576 39864 53152 79728 159456 1442537147 2885074294 4327611441 5770148588 8655222882 11540297176 15867908617 17310445764 23080594352 31735817234 34620891528 46161188704 47603725851 63471634468 69241783056 95207451702 126943268936 138483566112 190414903404 217823109197 253886537872 380829806808 435646218394 507773075744 653469327591 761659613616 871292436788 1306938655182 1523319227232 1742584873576 2396054201167 2613877310364 3485169747152 4792108402334 5227754620728 6970339494304 7188162603501 9584216804668 10455509241456 14376325207002 19168433609336 20911018482912 28752650414004 38336867218672 57505300828008 76673734437344 115010601656016 230021203312032