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114132020112 = 243311231044247
BaseRepresentation
bin110101001001011001…
…1000110101110010000
3101220121001112100101000
41222102303012232100
53332220244120422
6124233113142000
711150204110215
oct1522263065620
9356531470330
10114132020112
1144448605a70
121a1526ba900
13a9bb593716
145749ca1b0c
152e7ec49cac
hex1a92cc6b90

114132020112 has 160 divisors (see below), whose sum is σ = 372921845760. Its totient is φ = 33081713280.

The previous prime is 114132020099. The next prime is 114132020117. The reversal of 114132020112 is 211020231411.

114132020112 is a `hidden beast` number, since 1 + 141 + 320 + 201 + 1 + 2 = 666.

It is a super-2 number, since 2×1141320201122 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (114132020117) 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 31 ways as a sum of consecutive naturals, for example, 412828 + ... + 631419.

It is an arithmetic number, because the mean of its divisors is an integer number (2330761536).

Almost surely, 2114132020112 is an apocalyptic number.

114132020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114132020112 is an abundant number, since it is smaller than the sum of its proper divisors (258789825648).

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

114132020112 is a wasteful number, since it uses less digits than its factorization.

114132020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044298 (or 1044286 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 114132020112 its reverse (211020231411), we get a palindrome (325152251523).

The spelling of 114132020112 in words is "one hundred fourteen billion, one hundred thirty-two million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 528 552 594 621 759 792 828 1012 1104 1188 1242 1518 1584 1656 2024 2277 2376 2484 3036 3312 4048 4554 4752 4968 6072 6831 9108 9936 12144 13662 18216 27324 36432 54648 109296 1044247 2088494 3132741 4176988 6265482 8353976 9398223 11486717 12530964 16707952 18796446 22973434 24017681 25061928 28194669 34460151 37592892 45946868 48035362 50123856 56389338 68920302 72053043 75185784 91893736 96070724 103380453 112778676 137840604 144106086 150371568 183787472 192141448 206760906 216159129 225557352 264194491 275681208 288212172 310141359 384282896 413521812 432318258 451114704 528388982 551362416 576424344 620282718 648477387 792583473 827043624 864636516 1056777964 1152848688 1240565436 1296954774 1585166946 1654087248 1729273032 2113555928 2377750419 2481130872 2593909548 3170333892 3458546064 4227111856 4755500838 4962261744 5187819096 6340667784 7133251257 9511001676 10375638192 12681335568 14266502514 19022003352 28533005028 38044006704 57066010056 114132020112