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202234021313441 = 13223535916638409
BaseRepresentation
bin101101111110111001000111…
…000000000111101110100001
3222112001101100122212101101212
4231332321013000013232201
5203001400233424012231
61554041005443235505
760411632401211405
oct5576710700075641
9875041318771355
10202234021313441
115948aa6a88a6a7
121a822384678b95
1388ac78137c100
1437d2270b01105
15185a8871a042b
hexb7ee47007ba1

202234021313441 has 48 divisors (see below), whose sum is σ = 236765905372800. Its totient is φ = 172222697028096.

The previous prime is 202234021313393. The next prime is 202234021313479. The reversal of 202234021313441 is 144313120432202.

It is a happy number.

It is not a de Polignac number, because 202234021313441 - 226 = 202233954204577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202234021313398 and 202234021313407.

It is not an unprimeable number, because it can be changed into a prime (202234071313441) 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, 3835445 + ... + 20473853.

It is an arithmetic number, because the mean of its divisors is an integer number (4932623028600).

Almost surely, 2202234021313441 is an apocalyptic number.

It is an amenable number.

202234021313441 is a deficient number, since it is larger than the sum of its proper divisors (34531884059359).

202234021313441 is a wasteful number, since it uses less digits than its factorization.

202234021313441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16638570 (or 16638557 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 202234021313441 its reverse (144313120432202), we get a palindrome (346547141745643).

The spelling of 202234021313441 in words is "two hundred two trillion, two hundred thirty-four billion, twenty-one million, three hundred thirteen thousand, four hundred forty-one".

Divisors: 1 13 23 53 59 169 299 689 767 1219 1357 3127 3887 8957 9971 15847 17641 40651 71921 206011 229333 528463 934973 12154649 16638409 216299317 382683407 881835677 981666131 2811891121 4974884291 11463863801 12761659703 20282220571 22578321013 52028304943 64673495783 149030229413 165901576139 263668867423 293518173169 676367964259 1196651013689 3427695276499 3815736251197 8792783535367 15556463177957 202234021313441