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13241259090 = 23253133714083
BaseRepresentation
bin11000101010011110…
…11001010001010010
31021011210202122201100
430111033121101102
5204104230242330
610025530045230
7646062562623
oct142517312122
937153678640
1013241259090
115685388a34
122696579816
131330373967
148d880ba4a
1552770b060
hex3153d9452

13241259090 has 96 divisors (see below), whose sum is σ = 35645815296. Its totient is φ = 3406717440.

The previous prime is 13241259077. The next prime is 13241259107. The reversal of 13241259090 is 9095214231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 933189 + ... + 947271.

It is an arithmetic number, because the mean of its divisors is an integer number (371310576).

Almost surely, 213241259090 is an apocalyptic number.

13241259090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13241259090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17822907648).

13241259090 is an abundant number, since it is smaller than the sum of its proper divisors (22404556206).

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

13241259090 is a wasteful number, since it uses less digits than its factorization.

13241259090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14464 (or 14461 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13241259090 in words is "thirteen billion, two hundred forty-one million, two hundred fifty-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 337 465 558 674 930 1011 1395 1685 2022 2790 3033 3370 5055 6066 10110 10447 14083 15165 20894 28166 30330 31341 42249 52235 62682 70415 84498 94023 104470 126747 140830 156705 188046 211245 253494 313410 422490 436573 470115 633735 873146 940230 1267470 1309719 2182865 2619438 3929157 4365730 4745971 6548595 7858314 9491942 13097190 14237913 19645785 23729855 28475826 39291570 42713739 47459710 71189565 85427478 142379130 147125101 213568695 294250202 427137390 441375303 735625505 882750606 1324125909 1471251010 2206876515 2648251818 4413753030 6620629545 13241259090