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13130311430112 = 253531892571473
BaseRepresentation
bin1011111100010010001110…
…0011000110111111100000
31201111020121222110001200220
42333010203203012333200
53210111334211230422
643531552022443040
72523430233442302
oct277044343067740
951436558401626
1013130311430112
11420259654a988
1215808aa893480
1374324c230506
143357209db972
1517b839a15e5c
hexbf1238c6fe0

13130311430112 has 48 divisors (see below), whose sum is σ = 34467728919120. Its totient is φ = 4376686487552.

The previous prime is 13130311430029. The next prime is 13130311430129. The reversal of 13130311430112 is 21103411303131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3820408 + ... + 6391880.

It is an arithmetic number, because the mean of its divisors is an integer number (718077685815).

Almost surely, 213130311430112 is an apocalyptic number.

13130311430112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13130311430112 is an abundant number, since it is smaller than the sum of its proper divisors (21337417489008).

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

13130311430112 is a wasteful number, since it uses less digits than its factorization.

13130311430112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624675 (or 2624667 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13130311430112 its reverse (21103411303131), we get a palindrome (34233722733243).

The spelling of 13130311430112 in words is "thirteen trillion, one hundred thirty billion, three hundred eleven million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 53189 106378 159567 212756 319134 425512 638268 851024 1276536 1702048 2553072 2571473 5106144 5142946 7714419 10285892 15428838 20571784 30857676 41143568 61715352 82287136 123430704 246861408 136774077397 273548154794 410322232191 547096309588 820644464382 1094192619176 1641288928764 2188385238352 3282577857528 4376770476704 6565155715056 13130311430112