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2021131332 = 2233111701289
BaseRepresentation
bin111100001111000…
…0000010001000100
312012212010002222000
41320132000101010
513114402200312
6532315505300
7101041222113
oct17036002104
95185102860
102021131332
1194796a980
12484a58230
132629656cc
141525d9c7a
15bc688adc
hex78780444

2021131332 has 48 divisors (see below), whose sum is σ = 5716334400. Its totient is φ = 612463680.

The previous prime is 2021131303. The next prime is 2021131337. The reversal of 2021131332 is 2331311202.

2021131332 is a `hidden beast` number, since 202 + 1 + 131 + 332 = 666.

It is a super-2 number, since 2×20211313322 = 8169943722384188448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2021131337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849457 + ... + 851832.

It is an arithmetic number, because the mean of its divisors is an integer number (119090300).

Almost surely, 22021131332 is an apocalyptic number.

2021131332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2021131332 is an abundant number, since it is smaller than the sum of its proper divisors (3695203068).

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

2021131332 is a wasteful number, since it uses less digits than its factorization.

2021131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701313 (or 1701305 counting only the distinct ones).

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

The square root of 2021131332 is about 44956.9942500608. The cubic root of 2021131332 is about 1264.3428149694.

Adding to 2021131332 its reverse (2331311202), we get a palindrome (4352442534).

The spelling of 2021131332 in words is "two billion, twenty-one million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1701289 3402578 5103867 6805156 10207734 15311601 18714179 20415468 30623202 37428358 45934803 56142537 61246404 74856716 91869606 112285074 168427611 183739212 224570148 336855222 505282833 673710444 1010565666 2021131332