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21061231000 = 2353241281311
BaseRepresentation
bin10011100111010110…
…001110000110011000
32000100210102101111121
4103213112032012120
5321113133343000
613401515135024
71343626336555
oct234726160630
960323371447
1021061231000
118a28574637
1240b9444474
131ca8503184
14103b211a2c
15833ee4b1a
hex4e758e198

21061231000 has 128 divisors (see below), whose sum is σ = 49823579520. Its totient is φ = 8332800000.

The previous prime is 21061230961. The next prime is 21061231007. The reversal of 21061231000 is 13216012.

It is a super-2 number, since 2×210612310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21061231007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67720845 + ... + 67721155.

It is an arithmetic number, because the mean of its divisors is an integer number (389246715).

Almost surely, 221061231000 is an apocalyptic number.

21061231000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21061231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24911789760).

21061231000 is an abundant number, since it is smaller than the sum of its proper divisors (28762348520).

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

21061231000 is a wasteful number, since it uses less digits than its factorization.

21061231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21061231000 its reverse (13216012), we get a palindrome (21074447012).

The spelling of 21061231000 in words is "twenty-one billion, sixty-one million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 241 250 281 311 482 500 562 622 964 1000 1124 1205 1244 1405 1555 1928 2248 2410 2488 2810 3110 4820 5620 6025 6220 7025 7775 9640 11240 12050 12440 14050 15550 24100 28100 30125 31100 35125 38875 48200 56200 60250 62200 67721 70250 74951 77750 87391 120500 135442 140500 149902 155500 174782 241000 270884 281000 299804 311000 338605 349564 374755 436955 541768 599608 677210 699128 749510 873910 1354420 1499020 1693025 1747820 1873775 2184775 2708840 2998040 3386050 3495640 3747550 4369550 6772100 7495100 8465125 8739100 9368875 10923875 13544200 14990200 16930250 17478200 18737750 21061231 21847750 33860500 37475500 42122462 43695500 67721000 74951000 84244924 87391000 105306155 168489848 210612310 421224620 526530775 842449240 1053061550 2106123100 2632653875 4212246200 5265307750 10530615500 21061231000