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1031312021301 = 323713722606081
BaseRepresentation
bin11110000000111101111…
…11001001011100110101
310122120222220111220201200
433000132333021130311
5113344111334140201
62105440031443113
7134336605353612
oct17003677113465
93576886456650
101031312021301
11368416827a51
12147a60386499
13763384174b3
1437cb6c21509
151bc60657386
hexf01efc9735

1031312021301 has 24 divisors (see below), whose sum is σ = 1541101822104. Its totient is φ = 664076206080.

The previous prime is 1031312021281. The next prime is 1031312021303. The reversal of 1031312021301 is 1031202131301.

1031312021301 is a `hidden beast` number, since 1 + 0 + 31 + 312 + 0 + 21 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 258053840100 + 773258181201 = 507990^2 + 879351^2 .

It is not a de Polignac number, because 1031312021301 - 25 = 1031312021269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031312021303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11257420 + ... + 11348661.

It is an arithmetic number, because the mean of its divisors is an integer number (64212575921).

Almost surely, 21031312021301 is an apocalyptic number.

It is an amenable number.

1031312021301 is a deficient number, since it is larger than the sum of its proper divisors (509789800803).

1031312021301 is a wasteful number, since it uses less digits than its factorization.

1031312021301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22606261 (or 22606258 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1031312021301 its reverse (1031202131301), we get a palindrome (2062514152602).

The spelling of 1031312021301 in words is "one trillion, thirty-one billion, three hundred twelve million, twenty-one thousand, three hundred one".

Divisors: 1 3 9 37 111 137 333 411 1233 5069 15207 45621 22606081 67818243 203454729 836424997 2509274991 3097033097 7527824973 9291099291 27873297873 114590224589 343770673767 1031312021301