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1113331002293 = 29373025334297
BaseRepresentation
bin10000001100110111101…
…100101110101110110101
310221102200221200211222102
4100030313230232232311
5121220100214033133
62211242431111445
7143302244243306
oct20146754565665
93842627624872
101113331002293
1139a185365364
1215b930372585
1380ca9911003
143bc57b967ad
151de60ed77e8
hex10337b2ebb5

1113331002293 has 16 divisors (see below), whose sum is σ = 1182922928880. Its totient is φ = 1045822772736.

The previous prime is 1113331002281. The next prime is 1113331002341. The reversal of 1113331002293 is 3922001333111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 581630446609 + 531700555684 = 762647^2 + 729178^2 .

It is a cyclic number.

It is not a de Polignac number, because 1113331002293 - 210 = 1113331001269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113331002193) 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 15 ways as a sum of consecutive naturals, for example, 32444321 + ... + 32478617.

It is an arithmetic number, because the mean of its divisors is an integer number (73932683055).

Almost surely, 21113331002293 is an apocalyptic number.

It is an amenable number.

1113331002293 is a deficient number, since it is larger than the sum of its proper divisors (69591926587).

1113331002293 is a wasteful number, since it uses less digits than its factorization.

1113331002293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64616.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 1113331002293 in words is "one trillion, one hundred thirteen billion, three hundred thirty-one million, two thousand, two hundred ninety-three".

Divisors: 1 29 37 1073 30253 34297 877337 994613 1119361 1268989 32461469 36800681 1037587141 30090027089 38390724217 1113331002293