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210011021000120 = 235311091901817357
BaseRepresentation
bin101111110000000100000000…
…010011100011110110111000
31000112120212011010211010101102
4233300010000103203312320
5210011310032334000440
62022353421532510532
762143536606640604
oct5760040023436670
91015525133733342
10210011021000120
1160a091a041892a
121b67966201b448
139024c537b5442
1439c083272c504
151942d0681db15
hexbf01004e3db8

210011021000120 has 128 divisors (see below), whose sum is σ = 492502005388800. Its totient is φ = 80506296576000.

The previous prime is 210011021000111. The next prime is 210011021000161. The reversal of 210011021000120 is 21000120110012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256530482 + ... + 257347838.

It is an arithmetic number, because the mean of its divisors is an integer number (3847671917100).

Almost surely, 2210011021000120 is an apocalyptic number.

210011021000120 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 210011021000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246251002694400).

210011021000120 is an abundant number, since it is smaller than the sum of its proper divisors (282490984388680).

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

210011021000120 is a wasteful number, since it uses less digits than its factorization.

210011021000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819409 (or 819405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210011021000120 its reverse (21000120110012), we get a palindrome (231011141110132).

The spelling of 210011021000120 in words is "two hundred ten trillion, eleven billion, twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 31 40 62 109 124 155 218 248 310 436 545 620 872 1090 1240 1901 2180 3379 3802 4360 6758 7604 9505 13516 15208 16895 19010 27032 33790 38020 58931 67580 76040 117862 135160 207209 235724 294655 414418 471448 589310 817357 828836 1036045 1178620 1634714 1657672 2072090 2357240 3269428 4086785 4144180 6423479 6538856 8173570 8288360 12846958 16347140 25338067 25693916 32117395 32694280 50676134 51387832 64234790 89091913 101352268 126690335 128469580 178183826 202704536 253380670 256939160 356367652 445459565 506761340 712735304 890919130 1013522680 1553795657 1781838260 2761849303 3107591314 3563676520 5523698606 6215182628 7768978285 11047397212 12430365256 13809246515 15537956570 22094794424 27618493030 31075913140 48167665367 55236986060 62151826280 96335330734 110473972120 169363726613 192670661468 240838326835 338727453226 385341322936 481676653670 677454906452 846818633065 963353307340 1354909812904 1693637266130 1926706614680 3387274532260 5250275525003 6774549064520 10500551050006 21001102100012 26251377625015 42002204200024 52502755250030 105005510500060 210011021000120