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1031022002133 = 3423866963839
BaseRepresentation
bin11110000000011011011…
…00110011111111010101
310122120020200210102020000
433000031230303333111
5113343013113032013
62105351151401513
7134326454263644
oct17001554637725
93576220712200
101031022002133
11368288050292
1214799b223299
13762c0302616
1437c8a4c935b
151bc44e6a973
hexf00db33fd5

1031022002133 has 40 divisors (see below), whose sum is σ = 1607343091200. Its totient is φ = 657377167392.

The previous prime is 1031022002123. The next prime is 1031022002137. The reversal of 1031022002133 is 3312002201301.

1031022002133 is a `hidden beast` number, since 1 + 0 + 310 + 220 + 0 + 2 + 133 = 666.

It is not a de Polignac number, because 1031022002133 - 26 = 1031022002069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031022002137) 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 39 ways as a sum of consecutive naturals, for example, 16118428 + ... + 16182266.

It is an arithmetic number, because the mean of its divisors is an integer number (40183577280).

Almost surely, 21031022002133 is an apocalyptic number.

It is an amenable number.

1031022002133 is a deficient number, since it is larger than the sum of its proper divisors (576321089067).

1031022002133 is an equidigital number, since it uses as much as digits as its factorization.

1031022002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72543 (or 72534 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1031022002133 its reverse (3312002201301), we get a palindrome (4343024203434).

The spelling of 1031022002133 in words is "one trillion, thirty-one billion, twenty-two million, two thousand, one hundred thirty-three".

Divisors: 1 3 9 23 27 69 81 207 621 1863 8669 26007 63839 78021 191517 199387 234063 574551 598161 702189 1468297 1723653 1794483 4404891 5170959 5383449 13214673 16150347 39644019 118932057 553420291 1660260873 4980782619 12728666693 14942347857 38186000079 44827043571 114558000237 343674000711 1031022002133