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110431013400 = 233252193228977
BaseRepresentation
bin110011011011000110…
…0111000101000011000
3101120001010102201121100
41212312030320220120
53302130314412100
6122421543511400
710656404061201
oct1466614705030
9346033381540
10110431013400
1142919478934
121949b158560
13a54b8a9816
1454b853c5a8
152d14d85400
hex19b6338a18

110431013400 has 144 divisors (see below), whose sum is σ = 390383440200. Its totient is φ = 27898352640.

The previous prime is 110431013387. The next prime is 110431013401. The reversal of 110431013400 is 4310134011.

110431013400 is a `hidden beast` number, since 1 + 10 + 4 + 310 + 1 + 340 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110431013401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1580289 + ... + 1648688.

Almost surely, 2110431013400 is an apocalyptic number.

110431013400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110431013400 is an abundant number, since it is smaller than the sum of its proper divisors (279952426800).

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

110431013400 is a wasteful number, since it uses less digits than its factorization.

110431013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229018 (or 3229006 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110431013400 its reverse (4310134011), we get a palindrome (114741147411).

It can be divided in two parts, 1 and 10431013400, that added together give a palindrome (10431013401).

The spelling of 110431013400 in words is "one hundred ten billion, four hundred thirty-one million, thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 6840 8550 11400 17100 34200 3228977 6457954 9686931 12915908 16144885 19373862 25831816 29060793 32289770 38747724 48434655 58121586 61350563 64579540 77495448 80724425 96869310 116243172 122701126 129159080 145303965 161448850 184051689 193738620 232486344 242173275 245402252 290607930 306752815 322897700 368103378 387477240 484346550 490804504 552155067 581215860 613505630 645795400 726519825 736206756 920258445 968693100 1104310134 1162431720 1227011260 1453039650 1472413512 1533764075 1840516890 1937386200 2208620268 2454022520 2760775335 2906079300 3067528150 3681033780 4417240536 4601292225 5521550670 5812158600 6135056300 7362067560 9202584450 11043101340 12270112600 13803876675 18405168900 22086202680 27607753350 36810337800 55215506700 110431013400