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1035323496961 = 1343732973583
BaseRepresentation
bin11110001000011100001…
…01101101101000000001
310122222100110210222211021
433010032011231220001
5113430320303400321
62111342051345441
7134541165344125
oct17041605555001
93588313728737
101035323496961
1136a095139a96
1214879b8b2281
1376827526330
14381778c1585
151bde78e7941
hexf10e16da01

1035323496961 has 48 divisors (see below), whose sum is σ = 1168987201536. Its totient is φ = 910925180928.

The previous prime is 1035323496953. The next prime is 1035323496967. The reversal of 1035323496961 is 1696943235301.

It is not a de Polignac number, because 1035323496961 - 23 = 1035323496953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1035323496899 and 1035323496908.

It is not an unprimeable number, because it can be changed into a prime (1035323496967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288952576 + ... + 288956158.

It is an arithmetic number, because the mean of its divisors is an integer number (24353900032).

Almost surely, 21035323496961 is an apocalyptic number.

It is an amenable number.

1035323496961 is a deficient number, since it is larger than the sum of its proper divisors (133663704575).

1035323496961 is an equidigital number, since it uses as much as digits as its factorization.

1035323496961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 52.

The spelling of 1035323496961 in words is "one trillion, thirty-five billion, three hundred twenty-three million, four hundred ninety-six thousand, nine hundred sixty-one".

Divisors: 1 13 43 73 97 559 949 1261 3139 3583 4171 5329 7081 40807 46579 54223 69277 92053 154069 229147 261559 304483 347551 516913 2002897 2978911 3400267 3958279 4518163 6719869 11247037 14944693 19093807 22227259 25371223 146211481 194281009 248219491 288954367 329825899 821033701 1090962589 1852099279 10673438113 14182513657 24077290627 79640268997 1035323496961