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113132441024 = 26172931711311
BaseRepresentation
bin110100101011100111…
…0000000110111000000
3101211000101122110122022
41221113032000313000
53323143401103044
6123550004501012
711113345611401
oct1512716006700
9354011573568
10113132441024
1143a8534a449
1219b139aa768
13a88c472cc5
1456932239a8
152e220ed3ee
hex1a57380dc0

113132441024 has 112 divisors (see below), whose sum is σ = 246697073280. Its totient is φ = 51236290560.

The previous prime is 113132441021. The next prime is 113132441029. The reversal of 113132441024 is 420144231311.

It is a junction number, because it is equal to n+sod(n) for n = 113132440984 and 113132441002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113132441021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9996329 + ... + 10007639.

It is an arithmetic number, because the mean of its divisors is an integer number (2202652440).

Almost surely, 2113132441024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113132441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123348536640).

113132441024 is an abundant number, since it is smaller than the sum of its proper divisors (133564632256).

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

113132441024 is a wasteful number, since it uses less digits than its factorization.

113132441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 113132441024 its reverse (420144231311), we get a palindrome (533276672335).

The spelling of 113132441024 in words is "one hundred thirteen billion, one hundred thirty-two million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 317 464 493 544 634 928 986 1088 1268 1856 1972 2536 3944 5072 5389 7888 9193 10144 10778 11311 15776 18386 20288 21556 22622 31552 36772 43112 45244 73544 86224 90488 147088 156281 172448 180976 192287 294176 312562 328019 344896 361952 384574 588352 625124 656038 723904 769148 1250248 1312076 1538296 2500496 2624152 3076592 3585587 5000992 5248304 5576323 6153184 7171174 10001984 10496608 11152646 12306368 14342348 20993216 22305292 28684696 44610584 57369392 60954979 89221168 103982023 114738784 121909958 178442336 207964046 229477568 243819916 356884672 415928092 487639832 831856184 975279664 1663712368 1767694391 1950559328 3327424736 3535388782 3901118656 6654849472 7070777564 14141555128 28283110256 56566220512 113132441024