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110303131344 = 24373747918523
BaseRepresentation
bin110011010111010010…
…1000011011011010000
3101112201012210122101220
41212232211003123100
53301400100200334
6122401134525040
710653262101210
oct1465645033320
9345635718356
10110303131344
114286327318a
1219464366780
13a52b253073
1454a5570240
152d08a24449
hex19ae9436d0

110303131344 has 160 divisors (see below), whose sum is σ = 335174737920. Its totient is φ = 30597751296.

The previous prime is 110303131319. The next prime is 110303131349. The reversal of 110303131344 is 443131303011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110303131349) 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, 5945667 + ... + 5964189.

It is an arithmetic number, because the mean of its divisors is an integer number (2094842112).

Almost surely, 2110303131344 is an apocalyptic number.

110303131344 is a gapful number since it is divisible by the number (14) 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 110303131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167587368960).

110303131344 is an abundant number, since it is smaller than the sum of its proper divisors (224871606576).

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

110303131344 is a wasteful number, since it uses less digits than its factorization.

110303131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19057 (or 19051 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 110303131344 its reverse (443131303011), we get a palindrome (553434434355).

The spelling of 110303131344 in words is "one hundred ten billion, three hundred three million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 479 518 592 777 888 958 1036 1437 1554 1776 1916 2072 2874 3108 3353 3832 4144 5748 6216 6706 7664 10059 11496 12432 13412 17723 18523 20118 22992 26824 35446 37046 40236 53169 53648 55569 70892 74092 80472 106338 111138 124061 129661 141784 148184 160944 212676 222276 248122 259322 283568 296368 372183 388983 425352 444552 496244 518644 685351 744366 777966 850704 889104 992488 1037288 1370702 1488732 1555932 1984976 2056053 2074576 2741404 2977464 3111864 4112106 4797457 5482808 5954928 6223728 8224212 8872517 9594914 10965616 14392371 16448424 17745034 19189828 26617551 28784742 32896848 35490068 38379656 53235102 57569484 62107619 70980136 76759312 106470204 115138968 124215238 141960272 186322857 212940408 230277936 248430476 328283129 372645714 425880816 496860952 656566258 745291428 984849387 993721904 1313132516 1490582856 1969698774 2297981903 2626265032 2981165712 3939397548 4595963806 5252530064 6893945709 7878795096 9191927612 13787891418 15757590192 18383855224 27575782836 36767710448 55151565672 110303131344