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1021100212110 = 2351137509164299
BaseRepresentation
bin11101101101111100101…
…00001011111110001110
310121121122020012021000110
432312332110023332032
5113212203123241420
62101030441140450
7133525546411266
oct16667624137616
93547566167013
101021100212110
113640564a4620
12145a9048a726
137539b899854
14375c88c47a6
151b863daaee0
hexedbe50bf8e

1021100212110 has 128 divisors (see below), whose sum is σ = 2751091776000. Its totient is φ = 240374545920.

The previous prime is 1021100212081. The next prime is 1021100212127. The reversal of 1021100212110 is 112120011201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6132741 + ... + 6297039.

It is an arithmetic number, because the mean of its divisors is an integer number (21492904500).

Almost surely, 21021100212110 is an apocalyptic number.

1021100212110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021100212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375545888000).

1021100212110 is an abundant number, since it is smaller than the sum of its proper divisors (1729991563890).

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

1021100212110 is a wasteful number, since it uses less digits than its factorization.

1021100212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164866.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1021100212110 its reverse (112120011201), we get a palindrome (1133220223311).

The spelling of 1021100212110 in words is "one trillion, twenty-one billion, one hundred million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 509 555 814 1018 1110 1221 1527 2035 2442 2545 3054 4070 5090 5599 6105 7635 11198 12210 15270 16797 18833 27995 33594 37666 55990 56499 83985 94165 112998 164299 167970 188330 207163 282495 328598 414326 492897 564990 621489 821495 985794 1035815 1242978 1642990 1807289 2071630 2464485 3107445 3614578 4928970 5421867 6079063 6214890 9036445 10843734 12158126 18072890 18237189 27109335 30395315 36474378 54218670 60790630 66869693 83628191 91185945 133739386 167256382 182371890 200609079 250884573 334348465 401218158 418140955 501769146 668696930 836281910 919910101 1003045395 1254422865 1839820202 2006090790 2508845730 2759730303 3094243067 4599550505 5519460606 6188486134 9199101010 9282729201 13798651515 15471215335 18565458402 27597303030 30942430670 34036673737 46413646005 68073347474 92827292010 102110021211 170183368685 204220042422 340366737370 510550106055 1021100212110