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230123012222022 = 2317291633791259317
BaseRepresentation
bin110100010100101110110000…
…011001011110110001000110
31010011210112201101112011100120
4310110232300121132301012
5220130313412112101042
62133233015151322410
766320560524444603
oct6424566031366106
91104715641464316
10230123012222022
1167362692117507
122198746b220406
139b53678988a8a
1440b80283c16aa
151b910634c8dec
hexd14bb065ec46

230123012222022 has 128 divisors (see below), whose sum is σ = 508554921484800. Its totient is φ = 69095465220096.

The previous prime is 230123012222021. The next prime is 230123012222053. The reversal of 230123012222022 is 220222210321032.

It is a junction number, because it is equal to n+sod(n) for n = 230123012221983 and 230123012222001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230123012222021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182106708 + ... + 183366024.

It is an arithmetic number, because the mean of its divisors is an integer number (3973085324100).

Almost surely, 2230123012222022 is an apocalyptic number.

230123012222022 is an abundant number, since it is smaller than the sum of its proper divisors (278431909262778).

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

230123012222022 is a wasteful number, since it uses less digits than its factorization.

230123012222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259910.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 230123012222022 its reverse (220222210321032), we get a palindrome (450345222543054).

The spelling of 230123012222022 in words is "two hundred thirty trillion, one hundred twenty-three billion, twelve million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 17 29 34 51 58 87 102 163 174 326 379 489 493 758 978 986 1137 1479 2274 2771 2958 4727 5542 6443 8313 9454 10991 12886 14181 16626 19329 21982 28362 32973 38658 61777 65946 80359 123554 160718 185331 186847 241077 370662 373694 482154 560541 1050209 1121082 1259317 1791533 2100418 2518634 3150627 3583066 3777951 5374599 6301254 7555902 10749198 21408389 30456061 36520193 42816778 60912122 64225167 73040386 91368183 109560579 128450334 182736366 205268671 219121158 410537342 477281143 615806013 620843281 954562286 1231612026 1241686562 1431843429 1862529843 2863686858 3489567407 3725059686 5952791459 6979134814 8113779431 10468702221 11905582918 13841153147 16227558862 17858374377 20937404442 24341338293 27682306294 35716748754 41523459441 48682676586 77796826309 83046918882 101197454803 155593652618 202394909606 233390478927 235299603499 303592364409 466780957854 470599206998 607184728818 705898810497 1322546047253 1411797620994 2256107962961 2645092094506 3967638141759 4512215925922 6768323888883 7935276283518 13536647777766 38353835370337 76707670740674 115061506111011 230123012222022