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230010133032 = 23341492519491
BaseRepresentation
bin1101011000110110101…
…1000001101000101000
3210222200210122101210000
43112031223001220220
512232030043224112
6253355403223000
722421602605141
oct3261553015050
9728623571700
10230010133032
11896017a6339
12386b1b17a60
13188c7821544
14b1bda06ac8
155eb2e007dc
hex358dac1a28

230010133032 has 160 divisors (see below), whose sum is σ = 651217644000. Its totient is φ = 75844080000.

The previous prime is 230010133027. The next prime is 230010133037. The reversal of 230010133032 is 230331010032.

230010133032 is a `hidden beast` number, since 2 + 300 + 1 + 0 + 1 + 330 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (230010133027) and next prime (230010133037).

It is a super-2 number, since 2×2300101330322 (a number of 24 digits) contains 22 as substring.

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 = 230010132996 and 230010133014.

It is not an unprimeable number, because it can be changed into a prime (230010133037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24229807 + ... + 24239297.

It is an arithmetic number, because the mean of its divisors is an integer number (4070110275).

Almost surely, 2230010133032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230010133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325608822000).

230010133032 is an abundant number, since it is smaller than the sum of its proper divisors (421207510968).

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

230010133032 is a wasteful number, since it uses less digits than its factorization.

230010133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9909 (or 9896 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230010133032 its reverse (230331010032), we get a palindrome (460341143064).

The spelling of 230010133032 in words is "two hundred thirty billion, ten million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 251 298 324 447 502 596 648 753 894 1004 1192 1341 1506 1788 2008 2259 2682 3012 3576 4023 4518 5364 6024 6777 8046 9036 9491 10728 12069 13554 16092 18072 18982 20331 24138 27108 28473 32184 37399 37964 40662 48276 54216 56946 74798 75928 81324 85419 96552 112197 113892 149596 162648 170838 224394 227784 256257 299192 336591 341676 448788 512514 673182 683352 768771 897576 1009773 1025028 1346364 1414159 1537542 2019546 2050056 2382241 2692728 2828318 3029319 3075084 4039092 4242477 4764482 5656636 6058638 6150168 7146723 8078184 8484954 9528964 11313272 12117276 12727431 14293446 16969908 19057928 21440169 24234552 25454862 28586892 33939816 38182293 42880338 50909724 57173784 64320507 76364586 85760676 101819448 114546879 128641014 152729172 171521352 192961521 229093758 257282028 305458344 354953909 385923042 458187516 514564056 709907818 771846084 916375032 1064861727 1419815636 1543692168 2129723454 2839631272 3194585181 4259446908 6389170362 8518893816 9583755543 12778340724 19167511086 25556681448 28751266629 38335022172 57502533258 76670044344 115005066516 230010133032