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13101302333424 = 243675333763883
BaseRepresentation
bin1011111010100110001001…
…1110001011111111110000
31201101110202021201021010110
42332221202132023333300
53204122431344132144
643510353305101320
72521352325256344
oct276514236137760
951343667637113
1013101302333424
1141a125a687208
121577153787840
137405a823bc46
1433416c013624
1517abdcdc30b9
hexbea6278bff0

13101302333424 has 80 divisors (see below), whose sum is σ = 34356666782592. Its totient is φ = 4301107878144.

The previous prime is 13101302333423. The next prime is 13101302333519. The reversal of 13101302333424 is 42433320310131.

It is a super-2 number, since 2×131013023334242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101302333391 and 13101302333400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101302333423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16768987 + ... + 17532869.

Almost surely, 213101302333424 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 13101302333424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17178333391296).

13101302333424 is an abundant number, since it is smaller than the sum of its proper divisors (21255364449168).

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

13101302333424 is a wasteful number, since it uses less digits than its factorization.

13101302333424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769294 (or 769288 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 13101302333424 its reverse (42433320310131), we get a palindrome (55534622643555).

The spelling of 13101302333424 in words is "thirteen trillion, one hundred one billion, three hundred two million, three hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 5333 10666 15999 21332 31998 42664 63996 85328 127992 255984 357311 714622 763883 1071933 1429244 1527766 2143866 2291649 2858488 3055532 4287732 4583298 5716976 6111064 8575464 9166596 12222128 17150928 18333192 36666384 51180161 102360322 153540483 204720644 307080966 409441288 614161932 818882576 1228323864 2456647728 4073788039 8147576078 12221364117 16295152156 24442728234 32590304312 48885456468 65180608624 97770912936 195541825872 272943798613 545887597226 818831395839 1091775194452 1637662791678 2183550388904 3275325583356 4367100777808 6550651166712 13101302333424