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112101131120 = 24511314109279
BaseRepresentation
bin110100001100110111…
…1111000001101110000
3101201100112001111102012
41220121233320031300
53314040342143440
6123255404142052
711045653615106
oct1503157701560
9351315044365
10112101131120
11435a6191010
1219886537928
13a7568c2864
1455d6285c76
152db17d4e65
hex1a19bf8370

112101131120 has 80 divisors (see below), whose sum is σ = 293501214720. Its totient is φ = 39449068800.

The previous prime is 112101131117. The next prime is 112101131123. The reversal of 112101131120 is 21131101211.

It is an interprime number because it is at equal distance from previous prime (112101131117) and next prime (112101131123).

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

It is a junction number, because it is equal to n+sod(n) for n = 112101131095 and 112101131104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101131123) by changing a digit.

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, 2027360 + ... + 2081919.

It is an arithmetic number, because the mean of its divisors is an integer number (3668765184).

Almost surely, 2112101131120 is an apocalyptic number.

112101131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101131120 is an abundant number, since it is smaller than the sum of its proper divisors (181400083600).

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

112101131120 is a wasteful number, since it uses less digits than its factorization.

112101131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109334 (or 4109328 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 112101131120 its reverse (21131101211), we get a palindrome (133232232331).

The spelling of 112101131120 in words is "one hundred twelve billion, one hundred one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 13640 27280 4109279 8218558 16437116 20546395 32874232 41092790 45202069 65748464 82185580 90404138 127387649 164371160 180808276 226010345 254775298 328742320 361616552 452020690 509550596 636938245 723233104 904041380 1019101192 1273876490 1401264139 1808082760 2038202384 2547752980 2802528278 3616165520 5095505960 5605056556 7006320695 10191011920 11210113112 14012641390 22420226224 28025282780 56050565560 112101131120