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1011144032031 = 37194875203687
BaseRepresentation
bin11101011011011001110…
…00010111111100011111
310120122221100212220112010
432231230320113330133
5113031310333011111
62052302501442303
7133024043314230
oct16555470277437
93518840786463
101011144032031
1135a90749a121
12143b72110393
1374472cb2833
1436d224cb087
151b47eca6aa6
hexeb6ce17f1f

1011144032031 has 32 divisors (see below), whose sum is σ = 1625215836160. Its totient is φ = 546262141536.

The previous prime is 1011144031991. The next prime is 1011144032047. The reversal of 1011144032031 is 1302304411101.

It is not a de Polignac number, because 1011144032031 - 211 = 1011144029983 is a prime.

It is a super-2 number, since 2×10111440320312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1011144031989 and 1011144032007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011144032831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2407531 + ... + 2796156.

It is an arithmetic number, because the mean of its divisors is an integer number (50787994880).

Almost surely, 21011144032031 is an apocalyptic number.

1011144032031 is a deficient number, since it is larger than the sum of its proper divisors (614071804129).

1011144032031 is a wasteful number, since it uses less digits than its factorization.

1011144032031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204203.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1011144032031 its reverse (1302304411101), we get a palindrome (2313448443132).

The spelling of 1011144032031 in words is "one trillion, eleven billion, one hundred forty-four million, thirty-two thousand, thirty-one".

Divisors: 1 3 7 19 21 57 133 399 487 1461 3409 9253 10227 27759 64771 194313 5203687 15611061 36425809 98870053 109277427 296610159 692090371 2076271113 2534195569 7602586707 17739368983 48149715811 53218106949 144449147433 337048010677 1011144032031