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135512342200521 = 3211213101523181211
BaseRepresentation
bin11110110011111101101101…
…000001010000000011001001
3122202210212001010100212122100
4132303331231001100003021
5120230213234100404041
61200113302141544013
740354305111261216
oct3663755501200311
9582725033325570
10135512342200521
113a1a6509411100
1213247249275009
135a7c9b37b3b40
142566b91dc2b0d
15109eec12166b6
hex7b3f6d0500c9

135512342200521 has 144 divisors (see below), whose sum is σ = 234445251733056. Its totient is φ = 74916563040000.

The previous prime is 135512342200481. The next prime is 135512342200523. The reversal of 135512342200521 is 125002243215531.

135512342200521 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 123 + 4 + 2 + 2 + 0 + 0 + 521 = 666.

It is not a de Polignac number, because 135512342200521 - 27 = 135512342200393 is a prime.

It is a super-2 number, since 2×1355123422005212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135512342200523) 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 143 ways as a sum of consecutive naturals, for example, 747724606 + ... + 747905816.

It is an arithmetic number, because the mean of its divisors is an integer number (1628092025924).

Almost surely, 2135512342200521 is an apocalyptic number.

135512342200521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135512342200521 is a deficient number, since it is larger than the sum of its proper divisors (98932909532535).

135512342200521 is a wasteful number, since it uses less digits than its factorization.

135512342200521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181876 (or 181862 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 135512342200521 in words is "one hundred thirty-five trillion, five hundred twelve billion, three hundred forty-two million, two hundred thousand, five hundred twenty-one".

Divisors: 1 3 9 11 13 33 39 99 101 117 121 143 303 363 429 523 909 1089 1111 1287 1313 1569 1573 3333 3939 4707 4719 5753 6799 9999 11817 12221 14157 14443 17259 20397 36663 43329 51777 52823 61191 63283 74789 109989 129987 158469 158873 181211 189849 224367 475407 476619 543633 569547 581053 673101 686699 822679 1429857 1630899 1743159 1993321 2060097 2355743 2468037 5229477 5979963 6180291 6391583 7067229 7404111 7553689 17939889 18302311 19174749 21201687 21926531 22661067 25913173 54906933 57524247 65779593 67983201 77739519 83090579 94773353 164720799 197338779 201325421 233218557 237930043 249271737 284320059 285044903 603976263 713790129 747815211 852960177 855134709 1042506883 1232053589 1811928789 2141370387 2214579631 2565404127 2617230473 3127520649 3696160767 6643738893 7851691419 9382561947 9572108653 11088482301 11467575713 13552589479 19931216679 23555074257 28716325959 28789535203 34402727139 40657768437 86148977877 86368605609 103208181417 105293195183 121973305311 124437412489 149078484269 259105816827 315879585549 373312237467 447235452807 947638756647 1119936712401 1158225147013 1341706358421 1368811537379 3474675441039 4106434612137 10424026323117 12319303836411 15056926911169 45170780733507 135512342200521