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13130322211104 = 253719539169957
BaseRepresentation
bin1011111100010010010000…
…1100001111000100100000
31201111020122201201210102220
42333010210030033010200
53210111344441223404
643531553045511040
72523430424203620
oct277044414170440
951436581653386
1013130322211104
1142025a164389a
1215808b2412480
137432515366b7
14335722206880
1517b83a9454d9
hexbf12430f120

13130322211104 has 48 divisors (see below), whose sum is σ = 39390966635328. Its totient is φ = 3751520631552.

The previous prime is 13130322211087. The next prime is 13130322211187. The reversal of 13130322211104 is 40111222303131.

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

It is a super-2 number, since 2×131303222111042 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9769584307 + ... + 9769585650.

It is an arithmetic number, because the mean of its divisors is an integer number (820645138236).

Almost surely, 213130322211104 is an apocalyptic number.

13130322211104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13130322211104 is an abundant number, since it is smaller than the sum of its proper divisors (26260644424224).

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

13130322211104 is a wasteful number, since it uses less digits than its factorization.

13130322211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19539169977 (or 19539169969 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13130322211104 its reverse (40111222303131), we get a palindrome (53241544514235).

The spelling of 13130322211104 in words is "thirteen trillion, one hundred thirty billion, three hundred twenty-two million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19539169957 39078339914 58617509871 78156679828 117235019742 136774189699 156313359656 234470039484 273548379398 312626719312 410322569097 468940078968 547096758796 625253438624 820645138194 937880157936 1094193517592 1641290276388 1875760315872 2188387035184 3282580552776 4376774070368 6565161105552 13130322211104