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2021131132032 = 27350310463941
BaseRepresentation
bin11101011010010100110…
…011011001110010000000
321011012220002210120122210
4131122110303121302000
5231103234032211112
64144254514302120
7266010341110005
oct35322463316200
97135802716583
102021131132032
1170a17a919071
12287860887940
1311879039ccac
146db750998ac
15378931cdb3c
hex1d694cd9c80

2021131132032 has 64 divisors (see below), whose sum is σ = 5379303303360. Its totient is φ = 672370928640.

The previous prime is 2021131132001. The next prime is 2021131132037. The reversal of 2021131132032 is 2302311311202.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2021131132037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5038819 + ... + 5425122.

It is an arithmetic number, because the mean of its divisors is an integer number (84051614115).

Almost surely, 22021131132032 is an apocalyptic number.

It is an amenable number.

2021131132032 is an abundant number, since it is smaller than the sum of its proper divisors (3358172171328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2021131132032 is a wasteful number, since it uses less digits than its factorization.

2021131132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10464461 (or 10464449 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2021131132032 its reverse (2302311311202), we get a palindrome (4323442443234).

The spelling of 2021131132032 in words is "two trillion, twenty-one billion, one hundred thirty-one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 503 1006 1509 2012 3018 4024 6036 8048 12072 16096 24144 32192 48288 64384 96576 193152 10463941 20927882 31391823 41855764 62783646 83711528 125567292 167423056 251134584 334846112 502269168 669692224 1004538336 1339384448 2009076672 4018153344 5263362323 10526724646 15790086969 21053449292 31580173938 42106898584 63160347876 84213797168 126320695752 168427594336 252641391504 336855188672 505282783008 673710377344 1010565566016 2021131132032