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2021114131010 = 2513174122305641
BaseRepresentation
bin11101011010010011110…
…010100011001001000010
321011012211220210211122022
4131122103302203021002
5231103220204143020
64144253110041442
7266010043441232
oct35322362431102
97135756724568
102021114131010
1170a171266a37
12287857049282
131187899c9910
146db72b11cc2
1537891971625
hex1d693ca3242

2021114131010 has 64 divisors (see below), whose sum is σ = 4249492468704. Its totient is φ = 685229260800.

The previous prime is 2021114131009. The next prime is 2021114131021. The reversal of 2021114131010 is 101314111202.

It can be written as a sum of positive squares in 16 ways, for example, as 1841868889 + 2019272262121 = 42917^2 + 1421011^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2021114131010.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11062211 + ... + 11243430.

Almost surely, 22021114131010 is an apocalyptic number.

2021114131010 is an abundant number, since it is smaller than the sum of its proper divisors (2228378337694).

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

2021114131010 is a wasteful number, since it uses less digits than its factorization.

2021114131010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22305719.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2021114131010 its reverse (101314111202), we get a palindrome (2122428242212).

The spelling of 2021114131010 in words is "two trillion, twenty-one billion, one hundred fourteen million, one hundred thirty-one thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 41 65 82 85 130 170 205 221 410 442 533 697 1066 1105 1394 2210 2665 3485 5330 6970 9061 18122 45305 90610 22305641 44611282 111528205 223056410 289973333 379195897 579946666 758391794 914531281 1449866665 1829062562 1895979485 2899733330 3791958970 4572656405 4929546661 9145312810 9859093322 11888906653 15547031777 23777813306 24647733305 31094063554 49295466610 59444533265 77735158885 118889066530 155470317770 202111413101 404222826202 1010557065505 2021114131010