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1313133010432 = 2923891252913
BaseRepresentation
bin10011000110111100110…
…100111001111000000000
311122112102111102111200221
4103012330310321320000
5133003244022313212
62443124525352424
7163604442265465
oct23067464717000
94575374374627
101313133010432
11466995395321
121925b1708714
1396a9bbc9c29
14477ad85966c
1524256d9c807
hex131bcd39e00

1313133010432 has 80 divisors (see below), whose sum is σ = 2768539007520. Its totient is φ = 620963233792.

The previous prime is 1313133010417. The next prime is 1313133010447. The reversal of 1313133010432 is 2340103313131.

It is an interprime number because it is at equal distance from previous prime (1313133010417) and next prime (1313133010447).

It is a junction number, because it is equal to n+sod(n) for n = 1313133010397 and 1313133010406.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 421608 + ... + 1674520.

It is an arithmetic number, because the mean of its divisors is an integer number (34606737594).

Almost surely, 21313133010432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313133010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384269503760).

1313133010432 is an abundant number, since it is smaller than the sum of its proper divisors (1455405997088).

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

1313133010432 is an equidigital number, since it uses as much as digits as its factorization.

1313133010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253043 (or 1253027 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 1313133010432 its reverse (2340103313131), we get a palindrome (3653236323563).

The spelling of 1313133010432 in words is "one trillion, three hundred thirteen billion, one hundred thirty-three million, ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 256 356 368 512 712 736 1424 1472 2047 2848 2944 4094 5696 5888 8188 11392 11776 16376 22784 32752 45568 65504 131008 262016 524032 1048064 1252913 2505826 5011652 10023304 20046608 28816999 40093216 57633998 80186432 111509257 115267996 160372864 223018514 230535992 320745728 446037028 461071984 641491456 892074056 922143968 1784148112 1844287936 2564712911 3568296224 3688575872 5129425822 7136592448 7377151744 10258851644 14273184896 14754303488 20517703288 28546369792 41035406576 57092739584 82070813152 164141626304 328283252608 656566505216 1313133010432