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114122531520 = 2632539625879
BaseRepresentation
bin110101001001000111…
…0111010001011000000
3101220120101200021110200
41222102032322023000
53332210332002040
6124232133525200
711150030340534
oct1522216721300
9356511607420
10114122531520
1144443215058
121a14b4a3800
13a9b962087a
145748911bc4
152e7dec3630
hex1a923ba2c0

114122531520 has 84 divisors (see below), whose sum is σ = 392533967280. Its totient is φ = 30432674304.

The previous prime is 114122531519. The next prime is 114122531521. The reversal of 114122531520 is 25135221411.

It is a happy number.

114122531520 is a `hidden beast` number, since 1 + 1 + 4 + 122 + 531 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114122531519) and next prime (114122531521).

It is not an unprimeable number, because it can be changed into a prime (114122531521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19810060 + ... + 19815819.

It is an arithmetic number, because the mean of its divisors is an integer number (4673023420).

Almost surely, 2114122531520 is an apocalyptic number.

114122531520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114122531520 is an abundant number, since it is smaller than the sum of its proper divisors (278411435760).

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

114122531520 is a wasteful number, since it uses less digits than its factorization.

114122531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39625902 (or 39625889 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 114122531520 its reverse (25135221411), we get a palindrome (139257752931).

The spelling of 114122531520 in words is "one hundred fourteen billion, one hundred twenty-two million, five hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 39625879 79251758 118877637 158503516 198129395 237755274 317007032 356632911 396258790 475510548 594388185 634014064 713265822 792517580 951021096 1188776370 1268028128 1426531644 1585035160 1783164555 1902042192 2377552740 2536056256 2853063288 3170070320 3566329110 3804084384 4755105480 5706126576 6340140640 7132658220 7608168768 9510210960 11412253152 12680281280 14265316440 19020421920 22824506304 28530632880 38040843840 57061265760 114122531520