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110212323320 = 23511596776271
BaseRepresentation
bin110011010100100101…
…0101001011111111000
3101112110212221010012202
41212221022221133320
53301203323321240
6122344132325332
710651110201611
oct1465112513770
9345425833182
10110212323320
1142816a8a830
1219439a73848
13a5154aa3c8
145497492c08
152d00a88315
hex19a92a97f8

110212323320 has 128 divisors (see below), whose sum is σ = 275556556800. Its totient is φ = 39333465600.

The previous prime is 110212323271. The next prime is 110212323359. The reversal of 110212323320 is 23323212011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110212323292 and 110212323301.

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, 17571785 + ... + 17578055.

It is an arithmetic number, because the mean of its divisors is an integer number (2152785600).

Almost surely, 2110212323320 is an apocalyptic number.

110212323320 is a gapful number since it is divisible by the number (10) 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 110212323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137778278400).

110212323320 is an abundant number, since it is smaller than the sum of its proper divisors (165344233480).

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

110212323320 is a wasteful number, since it uses less digits than its factorization.

110212323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7025 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 110212323320 its reverse (23323212011), we get a palindrome (133535535331).

The spelling of 110212323320 in words is "one hundred ten billion, two hundred twelve million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 677 1180 1298 1354 2360 2596 2708 3245 3385 5192 5416 6271 6490 6770 7447 12542 12980 13540 14894 25084 25960 27080 29788 31355 37235 39943 50168 59576 62710 68981 74470 79886 125420 137962 148940 159772 199715 250840 275924 297880 319544 344905 369989 399430 439373 551848 689810 739978 798860 878746 1379620 1479956 1597720 1757492 1849945 2196865 2759240 2959912 3514984 3699890 4069879 4245467 4393730 7399780 8139758 8490934 8787460 14799560 16279516 16981868 17574920 20349395 21227335 32559032 33963736 40698790 42454670 46700137 81397580 84909340 93400274 162795160 169818680 186800548 233500685 250482553 373601096 467001370 500965106 934002740 1001930212 1252412765 1868005480 2003860424 2504825530 2755308083 5009651060 5510616166 10019302120 11021232332 13776540415 22042464664 27553080830 55106161660 110212323320