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13132400241310 = 25734197795581
BaseRepresentation
bin1011111100011010000000…
…0011010010101010011110
31201111110000112220122222121
42333012200003102222132
53210130123430210220
643532535201133154
72523533056156000
oct277064003225236
951443015818877
1013132400241310
114203468636729
12158119232a1ba
137434c2c0167c
1433587c1b4370
1517b90d0bceaa
hexbf1a00d2a9e

13132400241310 has 128 divisors (see below), whose sum is σ = 28268108870400. Its totient is φ = 4388177203200.

The previous prime is 13132400241281. The next prime is 13132400241391. The reversal of 13132400241310 is 1314200423131.

It is a super-2 number, since 2×131324002413102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137347720 + ... + 137443300.

It is an arithmetic number, because the mean of its divisors is an integer number (220844600550).

Almost surely, 213132400241310 is an apocalyptic number.

13132400241310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13132400241310 is an abundant number, since it is smaller than the sum of its proper divisors (15135708629090).

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

13132400241310 is an equidigital number, since it uses as much as digits as its factorization.

13132400241310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96627 (or 96613 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13132400241310 its reverse (1314200423131), we get a palindrome (14446600664441).

The spelling of 13132400241310 in words is "thirteen trillion, one hundred thirty-two billion, four hundred million, two hundred forty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 205 245 287 343 410 490 574 686 977 1435 1715 1954 2009 2870 3430 4018 4885 6839 9770 10045 13678 14063 20090 28126 34195 40057 47873 68390 70315 80114 95581 95746 140630 191162 200285 239365 280399 335111 400570 477905 478730 560798 669067 670222 955810 1338134 1401995 1675555 1962793 2803990 3345335 3351110 3918821 3925586 4683469 6690670 7837642 9366938 9813965 13739551 19594105 19627930 23417345 27431747 27479102 32784283 39188210 46834690 54863494 65568566 68697755 93382637 137158735 137395510 163921415 186765274 192022229 274317470 327842830 384044458 466913185 653678459 933826370 960111145 1307356918 1344155603 1920222290 2688311206 3268392295 3828688117 4575749213 6536784590 6720778015 7657376234 9151498426 13441556030 19143440585 22878746065 26800816819 32030244491 38286881170 45757492130 53601633638 64060488982 134004084095 160151222455 187605717733 268008168190 320302444910 375211435466 938028588665 1313240024131 1876057177330 2626480048262 6566200120655 13132400241310