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240112104100 = 2252112310878731
BaseRepresentation
bin1101111110011111001…
…0111111001010100100
3211221202211021200220121
43133213302333022210
512413222144312400
6302150031411324
723230126131631
oct3374762771244
9757684250817
10240112104100
1192916028760
123a651083b44
131984769270b
14b89b511188
1563a4c0221a
hex37e7cbf2a4

240112104100 has 144 divisors (see below), whose sum is σ = 593737998336. Its totient is φ = 83430864000.

The previous prime is 240112104013. The next prime is 240112104107. The reversal of 240112104100 is 1401211042.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (240112104107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27496735 + ... + 27505465.

It is an arithmetic number, because the mean of its divisors is an integer number (4123180544).

Almost surely, 2240112104100 is an apocalyptic number.

240112104100 is a gapful number since it is divisible by the number (20) 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 240112104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296868999168).

240112104100 is an abundant number, since it is smaller than the sum of its proper divisors (353625894236).

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

240112104100 is a wasteful number, since it uses less digits than its factorization.

240112104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9866 (or 9859 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 240112104100 its reverse (1401211042), we get a palindrome (241513315142).

The spelling of 240112104100 in words is "two hundred forty billion, one hundred twelve million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1087 1100 1150 1265 2174 2300 2530 4348 5060 5435 6325 8731 10870 11957 12650 17462 21740 23914 25001 25300 27175 34924 43655 47828 50002 54350 59785 87310 96041 100004 108700 119570 125005 174620 192082 200813 218275 239140 250010 275011 298925 384164 401626 436550 480205 500020 550022 597850 625025 803252 873100 960410 1004065 1100044 1195700 1250050 1375055 1920820 2008130 2208943 2401025 2500100 2750110 4016260 4417886 4802050 5020325 5500220 6875275 8835772 9490597 9604100 10040650 11044715 13750550 18981194 20081300 22089430 27501100 37962388 44178860 47452985 55223575 94905970 104396567 110447150 189811940 208793134 218283731 220894300 237264925 417586268 436567462 474529850 521982835 873134924 949059700 1043965670 1091418655 2087931340 2182837310 2401121041 2609914175 4365674620 4802242082 5219828350 5457093275 9604484164 10439656700 10914186550 12005605205 21828373100 24011210410 48022420820 60028026025 120056052050 240112104100