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1312104020032 = 26132954380969
BaseRepresentation
bin10011000101111111011…
…111100111100001000000
311122102202210012101020101
4103011333133213201000
5132444142112120112
62442434450452144
7163540106102461
oct23057737474100
94572683171211
101312104020032
11466507570633
12192364b94054
139696697c480
1447712d22d68
15241e6891757
hex1317f7e7840

1312104020032 has 56 divisors (see below), whose sum is σ = 2900680939800. Its totient is φ = 584704167936.

The previous prime is 1312104019979. The next prime is 1312104020057. The reversal of 1312104020032 is 2300204012131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 131960733696 + 1180143286336 = 363264^2 + 1086344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1312104019991 and 1312104020009.

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, 27166357 + ... + 27214612.

It is an arithmetic number, because the mean of its divisors is an integer number (51797873925).

Almost surely, 21312104020032 is an apocalyptic number.

It is an amenable number.

1312104020032 is an abundant number, since it is smaller than the sum of its proper divisors (1588576919768).

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

1312104020032 is a wasteful number, since it uses less digits than its factorization.

1312104020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54381023 (or 54381013 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1312104020032 its reverse (2300204012131), we get a palindrome (3612308032163).

The spelling of 1312104020032 in words is "one trillion, three hundred twelve billion, one hundred four million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 928 1508 1856 3016 6032 12064 24128 54380969 108761938 217523876 435047752 706952597 870095504 1413905194 1577048101 1740191008 2827810388 3154096202 3480382016 5655620776 6308192404 11311241552 12616384808 20501625313 22622483104 25232769616 41003250626 45244966208 50465539232 82006501252 100931078464 164013002504 328026005008 656052010016 1312104020032