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21212021021000 = 235319258759061
BaseRepresentation
bin1001101001010110011101…
…11110100101100101001000
32210002211221012211202101012
410310223032332211211020
510240014204340133000
6113040400134543052
74316342440512245
oct464531676454510
983084835752335
1021212021021000
116838a70963127
122467046b07a88
13bab3921b3304
1453494b0b65cc
1526bb90095735
hex134acefa5948

21212021021000 has 96 divisors (see below), whose sum is σ = 52386054135480. Its totient is φ = 8038239408000.

The previous prime is 21212021020933. The next prime is 21212021021101. The reversal of 21212021021000 is 12012021212.

It can be written as a sum of positive squares in 4 ways, for example, as 2224232200996 + 18987788820004 = 1491386^2 + 4357498^2 .

It is an unprimeable number.

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, 29018531 + ... + 29740530.

Almost surely, 221212021021000 is an apocalyptic number.

21212021021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212021021000 is an abundant number, since it is smaller than the sum of its proper divisors (31174033114480).

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

21212021021000 is a wasteful number, since it uses less digits than its factorization.

21212021021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58759120 (or 58759087 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21212021021000 its reverse (12012021212), we get a palindrome (21224033042212).

The spelling of 21212021021000 in words is "twenty-one trillion, two hundred twelve billion, twenty-one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 361 380 475 500 722 760 950 1000 1444 1805 1900 2375 2888 3610 3800 4750 7220 9025 9500 14440 18050 19000 36100 45125 72200 90250 180500 361000 58759061 117518122 235036244 293795305 470072488 587590610 1116422159 1175181220 1468976525 2232844318 2350362440 2937953050 4465688636 5582110795 5875906100 7344882625 8931377272 11164221590 11751812200 14689765250 21212021021 22328443180 27910553975 29379530500 42424042042 44656886360 55821107950 58759061000 84848084084 106060105105 111642215900 139552769875 169696168168 212120210210 223284431800 279105539750 424240420420 530300525525 558211079500 848480840840 1060601051050 1116422159000 2121202102100 2651502627625 4242404204200 5303005255250 10606010510500 21212021021000