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2231142601653 = 32791138874821
BaseRepresentation
bin100000011101111010011…
…101100101001110110101
321220021222011102121122100
4200131322131211032311
5243023340001223103
64424550041052313
7320123536126050
oct40357235451665
97807864377570
102231142601653
117902499185a9
123004b1187099
1313251b894094
1479db8a47a97
153d0855295a3
hex2077a7653b5

2231142601653 has 24 divisors (see below), whose sum is σ = 3687199117056. Its totient is φ = 1273539103200.

The previous prime is 2231142601651. The next prime is 2231142601693. The reversal of 2231142601653 is 3561062411322.

2231142601653 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 1 + 42 + 601 + 6 + 5 + 3 = 666.

It is not a de Polignac number, because 2231142601653 - 21 = 2231142601651 is a prime.

It is a super-3 number, since 3×22311426016533 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231142601651) 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, 19380018 + ... + 19494803.

It is an arithmetic number, because the mean of its divisors is an integer number (153633296544).

Almost surely, 22231142601653 is an apocalyptic number.

It is an amenable number.

2231142601653 is a deficient number, since it is larger than the sum of its proper divisors (1456056515403).

2231142601653 is a wasteful number, since it uses less digits than its factorization.

2231142601653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38875745 (or 38875742 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2231142601653 in words is "two trillion, two hundred thirty-one billion, one hundred forty-two million, six hundred one thousand, six hundred fifty-three".

Divisors: 1 3 7 9 21 63 911 2733 6377 8199 19131 57393 38874821 116624463 272123747 349873389 816371241 2449113723 35414961931 106244885793 247904733517 318734657379 743714200551 2231142601653