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111355504240 = 24531130134513
BaseRepresentation
bin110011110110101001…
…1100010011001110000
3101122102120000201121211
41213231103202121300
53311024002113430
6123053410525504
711021331111601
oct1475523423160
9348376021554
10111355504240
1143253308552
12196b8896894
13a668299716
145565231da8
152d6b0ed72a
hex19ed4e2670

111355504240 has 80 divisors (see below), whose sum is σ = 267466381056. Its totient is φ = 43070976000.

The previous prime is 111355504237. The next prime is 111355504261. The reversal of 111355504240 is 42405553111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3209224 + ... + 3243736.

Almost surely, 2111355504240 is an apocalyptic number.

111355504240 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 111355504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133733190528).

111355504240 is an abundant number, since it is smaller than the sum of its proper divisors (156110876816).

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

111355504240 is a wasteful number, since it uses less digits than its factorization.

111355504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35858 (or 35852 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 111355504240 in words is "one hundred eleven billion, three hundred fifty-five million, five hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1301 2480 2602 5204 6505 10408 13010 20816 26020 34513 40331 52040 69026 80662 104080 138052 161324 172565 201655 276104 322648 345130 403310 552208 645296 690260 806620 1069903 1380520 1613240 2139806 2761040 3226480 4279612 5349515 8559224 10699030 17118448 21398060 42796120 44901413 85592240 89802826 179605652 224507065 359211304 449014130 718422608 898028260 1391943803 1796056520 2783887606 3592113040 5567775212 6959719015 11135550424 13919438030 22271100848 27838876060 55677752120 111355504240