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230122030221 = 32178933135101
BaseRepresentation
bin1101011001010001010…
…1111000010010001101
3210222222121012100212100
43112110111320102031
512232242214431341
6253414441425313
722424431661046
oct3262425702215
9728877170770
10230122030221
1189659983356
123872349b239
1318914a6c2b5
14b1d08138cd
155ebcb553b6
hex359457848d

230122030221 has 48 divisors (see below), whose sum is σ = 356083069680. Its totient is φ = 142696857600.

The previous prime is 230122030183. The next prime is 230122030231. The reversal of 230122030221 is 122030221032.

230122030221 is a `hidden beast` number, since 230 + 12 + 203 + 0 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4985066025 + 225136964196 = 70605^2 + 474486^2 .

It is not a de Polignac number, because 230122030221 - 213 = 230122022029 is a prime.

It is a super-2 number, since 2×2301220302212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230122030194 and 230122030203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230122030231) 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, 45110571 + ... + 45115671.

It is an arithmetic number, because the mean of its divisors is an integer number (7418397285).

Almost surely, 2230122030221 is an apocalyptic number.

It is an amenable number.

230122030221 is a deficient number, since it is larger than the sum of its proper divisors (125961039459).

230122030221 is a wasteful number, since it uses less digits than its factorization.

230122030221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8526 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230122030221 its reverse (122030221032), we get a palindrome (352152251253).

The spelling of 230122030221 in words is "two hundred thirty billion, one hundred twenty-two million, thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 17 51 89 153 267 801 1513 3313 4539 5101 9939 13617 15303 29817 45909 56321 86717 168963 260151 294857 453989 506889 780453 884571 1361967 2653713 4085901 5012569 7717813 15037707 16899613 23153439 45113121 50698839 69460317 152096517 287293421 861880263 1504065557 2585640789 4512196671 13536590013 25569114469 76707343407 230122030221