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113134252440 = 233511731174079
BaseRepresentation
bin110100101011101010…
…0111011000110011000
3101211000112001111102210
41221113110323012120
53323144332034230
6123550111355120
711113400164446
oct1512724730630
9354015044383
10113134252440
1143a86377390
1219b14522aa0
13a88c958651
145693575b96
152e22359eb0
hex1a5753b198

113134252440 has 128 divisors (see below), whose sum is σ = 375329894400. Its totient is φ = 27050757120.

The previous prime is 113134252433. The next prime is 113134252457. The reversal of 113134252440 is 44252431311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 113134252398 and 113134252407.

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 31 ways as a sum of consecutive naturals, for example, 490680 + ... + 683399.

It is an arithmetic number, because the mean of its divisors is an integer number (2932264800).

Almost surely, 2113134252440 is an apocalyptic number.

113134252440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113134252440 is an abundant number, since it is smaller than the sum of its proper divisors (262195641960).

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

113134252440 is a wasteful number, since it uses less digits than its factorization.

113134252440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174177 (or 1174173 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 113134252440 its reverse (44252431311), we get a palindrome (157386683751).

The spelling of 113134252440 in words is "one hundred thirteen billion, one hundred thirty-four million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1320 1460 1606 1752 2190 2409 2920 3212 4015 4380 4818 6424 8030 8760 9636 12045 16060 19272 24090 32120 48180 96360 1174079 2348158 3522237 4696316 5870395 7044474 9392632 11740790 12914869 14088948 17611185 23481580 25829738 28177896 35222370 38744607 46963160 51659476 64574345 70444740 77489214 85707767 103318952 129148690 140889480 154978428 171415534 193723035 257123301 258297380 309956856 342831068 387446070 428538835 514246602 516594760 685662136 774892140 857077670 942785437 1028493204 1285616505 1549784280 1714155340 1885570874 2056986408 2571233010 2828356311 3428310680 3771141748 4713927185 5142466020 5656712622 7542283496 9427854370 10284932040 11313425244 14141781555 18855708740 22626850488 28283563110 37711417480 56567126220 113134252440