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230022130023 = 34729431132879
BaseRepresentation
bin1101011000111001100…
…0110010100101100111
3210222201122012220120000
43112032120302211213
512232041131130043
6253400512312343
722422106562610
oct3261630624547
9728648186500
10230022130023
118960854a904
12386b5b426b3
13188ca16205a
14b1c144ac07
155eb3ec02d3
hex358e632967

230022130023 has 160 divisors (see below), whose sum is σ = 419514163200. Its totient is φ = 122817752064.

The previous prime is 230022130021. The next prime is 230022130057. The reversal of 230022130023 is 320031220032.

It is a happy number.

It is not a de Polignac number, because 230022130023 - 21 = 230022130021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230022129978 and 230022130005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230022130021) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 79895098 + ... + 79897976.

It is an arithmetic number, because the mean of its divisors is an integer number (2621963520).

Almost surely, 2230022130023 is an apocalyptic number.

230022130023 is a deficient number, since it is larger than the sum of its proper divisors (189492033177).

230022130023 is a wasteful number, since it uses less digits than its factorization.

230022130023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230022130023 its reverse (320031220032), we get a palindrome (550053350055).

Subtracting 230022130023 from its reverse (320031220032), we obtain a palindrome (90009090009).

The spelling of 230022130023 in words is "two hundred thirty billion, twenty-two million, one hundred thirty thousand, twenty-three".

Divisors: 1 3 7 9 21 27 29 43 63 81 87 113 129 189 203 261 301 339 387 567 609 783 791 903 1017 1161 1247 1827 2349 2373 2709 2879 3051 3277 3483 3741 4859 5481 7119 8127 8637 8729 9153 9831 11223 14577 16443 20153 21357 22939 24381 25911 26187 29493 33669 34013 43731 60459 64071 68817 77733 78561 83491 88479 101007 102039 123797 131193 140911 181377 206451 233199 235683 250473 265437 306117 325327 371391 393579 422733 544131 584437 619353 707049 751419 866579 918351 975981 986377 1114173 1268199 1632393 1753311 1858059 2254257 2277289 2599737 2755053 2927943 2959131 3342519 3590113 3804597 5259933 6762771 6831867 7799211 8783829 8877393 9434483 10027557 10770339 11413791 13989061 15779799 20495601 23397633 25130791 26351487 26632179 28303449 32311017 41967183 47339397 61486803 66041381 70192899 75392373 79896537 84910347 96933051 97923427 125901549 184460409 198124143 226177119 254731041 290799153 293770281 377704647 405682769 594372429 678531357 764193123 881310843 1133113941 1217048307 1783117287 2035594071 2643932529 2839779383 3651144921 5349351861 7931797587 8519338149 10953434763 25558014447 32860304289 76674043341 230022130023