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110131200323320 = 235115232101922769
BaseRepresentation
bin11001000010100111101011…
…000100101110111011111000
3112102221102212201002202210011
4121002213223010232323320
5103413342144240321240
61030121324110031304
732124500545050031
oct3102475304567370
9472842781082704
10110131200323320
113210041a516a70
12104281b81a8534
13495b434a51677
141d2a5429c1a88
15caeb72b276ea
hex6429eb12eef8

110131200323320 has 128 divisors (see below), whose sum is σ = 270863686368000. Its totient is φ = 39967479060480.

The previous prime is 110131200323251. The next prime is 110131200323321. The reversal of 110131200323320 is 23323002131011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 110131200323291 and 110131200323300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110131200323321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4836880896 + ... + 4836903664.

It is an arithmetic number, because the mean of its divisors is an integer number (2116122549750).

Almost surely, 2110131200323320 is an apocalyptic number.

110131200323320 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 110131200323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135431843184000).

110131200323320 is an abundant number, since it is smaller than the sum of its proper divisors (160732486044680).

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

110131200323320 is a wasteful number, since it uses less digits than its factorization.

110131200323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44333 (or 44329 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 110131200323320 its reverse (23323002131011), we get a palindrome (133454202454331).

The spelling of 110131200323320 in words is "one hundred ten trillion, one hundred thirty-one billion, two hundred million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 523 1046 2092 2615 4184 5230 5753 10460 11506 20920 21019 22769 23012 28765 42038 45538 46024 57530 84076 91076 105095 113845 115060 168152 182152 210190 227690 230120 231209 250459 420380 455380 462418 500918 840760 910760 924836 1001836 1156045 1252295 1849672 2003672 2312090 2504590 4624180 5009180 9248360 10018360 10992937 11908187 21985874 23816374 43971748 47632748 54964685 59540935 87943496 95265496 109929370 119081870 120922307 130990057 219858740 238163740 241844614 261980114 439717480 476327480 478581611 483689228 523960228 604611535 654950285 957163222 967378456 1047920456 1209223070 1309900570 1914326444 2392908055 2418446140 2619801140 3828652888 4785816110 4836892280 5239602280 5264397721 9571632220 10528795442 19143264440 21057590884 26321988605 42115181768 52643977210 105287954420 210575908840 250298182553 500596365106 1001192730212 1251490912765 2002385460424 2502981825530 2753280008083 5005963651060 5506560016166 10011927302120 11013120032332 13766400040415 22026240064664 27532800080830 55065600161660 110131200323320