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2112100012110 = 2351147592308079
BaseRepresentation
bin11110101111000010111…
…110001001000001001110
321110220200212210111101110
4132233002332021001032
5234101040100341420
64254141345152450
7305410543612554
oct36570276110116
97426625714343
102112100012110
117448114380a0
122a140a02b726
13124229b5479a
1474324923bd4
1539e19640ee0
hex1ebc2f8904e

2112100012110 has 128 divisors (see below), whose sum is σ = 5743241625600. Its totient is φ = 492636168320.

The previous prime is 2112100012109. The next prime is 2112100012133. The reversal of 2112100012110 is 112100012112.

It is a super-2 number, since 2×21121000121102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

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, 238950 + ... + 2069129.

It is an arithmetic number, because the mean of its divisors is an integer number (44869075200).

Almost surely, 22112100012110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112100012110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871620812800).

2112100012110 is an abundant number, since it is smaller than the sum of its proper divisors (3631141613490).

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

2112100012110 is a wasteful number, since it uses less digits than its factorization.

2112100012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308206.

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

Adding to 2112100012110 its reverse (112100012112), we get a palindrome (2224200024222).

The spelling of 2112100012110 in words is "two trillion, one hundred twelve billion, one hundred million, twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 59 66 94 110 118 141 165 177 235 282 295 330 354 470 517 590 649 705 885 1034 1298 1410 1551 1770 1947 2585 2773 3102 3245 3894 5170 5546 6490 7755 8319 9735 13865 15510 16638 19470 27730 30503 41595 61006 83190 91509 152515 183018 305030 457545 915090 2308079 4616158 6924237 11540395 13848474 23080790 25388869 34621185 50777738 69242370 76166607 108479713 126944345 136176661 152333214 216959426 253888690 272353322 325439139 380833035 408529983 542398565 650878278 680883305 761666070 817059966 1084797130 1193276843 1361766610 1497943271 1627195695 2042649915 2386553686 2995886542 3254391390 3579830529 4085299830 4493829813 5966384215 6400303067 7159661058 7489716355 8987659626 11932768430 12800606134 14979432710 17899152645 19200909201 22469149065 32001515335 35798305290 38401818402 44938298130 64003030670 70403333737 96004546005 140806667474 192009092010 211210001211 352016668685 422420002422 704033337370 1056050006055 2112100012110