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13101152240 = 2451147316759
BaseRepresentation
bin11000011001110001…
…11011011111110000
31020211001010111020202
430030320323133300
5203312343332430
610004003054332
7642441646061
oct141470733760
936731114222
1013101152240
115613293650
1226576713a8
13130a329ab7
148c3d7a568
1551a282d45
hex30ce3b7f0

13101152240 has 80 divisors (see below), whose sum is σ = 33936399360. Its totient is φ = 4662677760.

The previous prime is 13101152227. The next prime is 13101152243. The reversal of 13101152240 is 4225110131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101152243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117020 + ... + 199739.

It is an arithmetic number, because the mean of its divisors is an integer number (424204992).

Almost surely, 213101152240 is an apocalyptic number.

13101152240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13101152240 is an abundant number, since it is smaller than the sum of its proper divisors (20835247120).

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

13101152240 is a wasteful number, since it uses less digits than its factorization.

13101152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316830 (or 316824 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 13101152240 its reverse (4225110131), we get a palindrome (17326262371).

The spelling of 13101152240 in words is "thirteen billion, one hundred one million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3760 4136 5170 8272 10340 20680 41360 316759 633518 1267036 1583795 2534072 3167590 3484349 5068144 6335180 6968698 12670360 13937396 14887673 17421745 25340720 27874792 29775346 34843490 55749584 59550692 69686980 74438365 119101384 139373960 148876730 163764403 238202768 278747920 297753460 327528806 595506920 655057612 818822015 1191013840 1310115224 1637644030 2620230448 3275288060 6550576120 13101152240