Search a number
-
+
1310336523252 = 2232138041263677
BaseRepresentation
bin10011000100010110001…
…001001001101111110100
311122021012121100020110200
4103010112021021233310
5132432032122221002
62441543231120500
7163445234450601
oct23042611115764
94567177306420
101310336523252
1146578a897099
12191b51073130
139674472c8a3
14475c62ab6a8
1524141608b1c
hex13116249bf4

1310336523252 has 36 divisors (see below), whose sum is σ = 3312276101316. Its totient is φ = 436774020480.

The previous prime is 1310336523233. The next prime is 1310336523259. The reversal of 1310336523252 is 2523256330131.

1310336523252 is a `hidden beast` number, since 1 + 3 + 10 + 3 + 365 + 232 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 813362281956 + 496974241296 = 901866^2 + 704964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310336523259) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4837638 + ... + 5101314.

It is an arithmetic number, because the mean of its divisors is an integer number (92007669481).

Almost surely, 21310336523252 is an apocalyptic number.

1310336523252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1310336523252 is an abundant number, since it is smaller than the sum of its proper divisors (2001939578064).

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

1310336523252 is a wasteful number, since it uses less digits than its factorization.

1310336523252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401728 (or 401723 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 1310336523252 in words is "one trillion, three hundred ten billion, three hundred thirty-six million, five hundred twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 138041 263677 276082 414123 527354 552164 791031 828246 1054708 1242369 1582062 1656492 2373093 2484738 3164124 4746186 4969476 9492372 36398236757 72796473514 109194710271 145592947028 218389420542 327584130813 436778841084 655168261626 1310336523252