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110520241240 = 235234112723071
BaseRepresentation
bin110011011101110000…
…1010000110001011000
3101120021100022222012011
41212323201100301120
53302321140204430
6122434452155304
710661536356523
oct1467341206130
9346240288164
10110520241240
1142964882052
1219505008b34
13a56421b166
1454c6327bba
152d1cb0d22a
hex19bb850c58

110520241240 has 128 divisors (see below), whose sum is σ = 267915755520. Its totient is φ = 40928025600.

The previous prime is 110520241187. The next prime is 110520241283. The reversal of 110520241240 is 42142025011.

110520241240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4778905 + ... + 4801975.

It is an arithmetic number, because the mean of its divisors is an integer number (2093091840).

Almost surely, 2110520241240 is an apocalyptic number.

110520241240 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 110520241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133957877760).

110520241240 is an abundant number, since it is smaller than the sum of its proper divisors (157395514280).

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

110520241240 is a wasteful number, since it uses less digits than its factorization.

110520241240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23273 (or 23269 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 110520241240 its reverse (42142025011), we get a palindrome (152662266251).

The spelling of 110520241240 in words is "one hundred ten billion, five hundred twenty million, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 115 127 164 184 205 230 254 328 410 460 508 635 820 920 943 1016 1270 1640 1886 2540 2921 3772 4715 5080 5207 5842 7544 9430 10414 11684 14605 18860 20828 23071 23368 26035 29210 37720 41656 46142 52070 58420 92284 104140 115355 116840 119761 184568 208280 230710 239522 461420 479044 530633 598805 922840 945911 958088 1061266 1197610 1891822 2122532 2395220 2653165 2930017 3783644 4245064 4729555 4790440 5306330 5860034 7567288 9459110 10612660 11720068 14650085 18918220 21225320 21755953 23440136 29300170 37836440 43511906 58600340 67390391 87023812 108779765 117200680 120130697 134780782 174047624 217559530 240261394 269561564 336951955 435119060 480522788 539123128 600653485 673903910 870238120 961045576 1201306970 1347807820 2402613940 2695615640 2763006031 4805227880 5526012062 11052024124 13815030155 22104048248 27630060310 55260120620 110520241240