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13234155660 = 223251147142211
BaseRepresentation
bin11000101001101000…
…10011000010001100
31021011022101202122100
430110310103002030
5204100420440120
610025113515100
7645645316125
oct142464230214
937138352570
1013234155660
115681377030
122694112a90
13132ba5764b
148d78bd04c
15526ca6490
hex314d1308c

13234155660 has 144 divisors (see below), whose sum is σ = 44725105152. Its totient is φ = 3139996800.

The previous prime is 13234155653. The next prime is 13234155691. The reversal of 13234155660 is 6655143231.

13234155660 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 41 + 556 + 60 = 666.

It is a super-2 number, since 2×132341556602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21955 + ... + 164165.

It is an arithmetic number, because the mean of its divisors is an integer number (310591008).

Almost surely, 213234155660 is an apocalyptic number.

13234155660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13234155660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22362552576).

13234155660 is an abundant number, since it is smaller than the sum of its proper divisors (31490949492).

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

13234155660 is a wasteful number, since it uses less digits than its factorization.

13234155660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142284 (or 142279 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13234155660 its reverse (6655143231), we get a palindrome (19889298891).

The spelling of 13234155660 in words is "thirteen billion, two hundred thirty-four million, one hundred fifty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 470 495 517 564 660 705 846 940 990 1034 1410 1551 1692 1980 2068 2115 2585 2820 3102 4230 4653 5170 6204 7755 8460 9306 10340 15510 18612 23265 31020 46530 93060 142211 284422 426633 568844 711055 853266 1279899 1422110 1564321 1706532 2133165 2559798 2844220 3128642 4266330 4692963 5119596 6257284 6399495 6683917 7821605 8532660 9385926 12798990 13367834 14078889 15643210 18771852 20051751 23464815 25597980 26735668 28157778 31286420 33419585 40103502 46929630 56315556 60155253 66839170 70394445 73523087 80207004 93859260 100258755 120310506 133678340 140788890 147046174 200517510 220569261 240621012 281577780 294092348 300776265 367615435 401035020 441138522 601552530 661707783 735230870 882277044 1102846305 1203105060 1323415566 1470461740 2205692610 2646831132 3308538915 4411385220 6617077830 13234155660