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113144242401 = 32233186320431
BaseRepresentation
bin110100101011111101…
…1000010000011100001
3101211001012212001002100
41221113323002003201
53323204411224101
6123551105441013
711113551122631
oct1512773020341
9354035761070
10113144242401
1143a90a7aa53
1219b17940169
13a891a45778
145694a166c1
152e2317ee86
hex1a57ec20e1

113144242401 has 48 divisors (see below), whose sum is σ = 176250028032. Its totient is φ = 69738213600.

The previous prime is 113144242399. The next prime is 113144242501. The reversal of 113144242401 is 104242441311.

113144242401 is a `hidden beast` number, since 1 + 1 + 3 + 14 + 4 + 242 + 401 = 666.

It is not a de Polignac number, because 113144242401 - 21 = 113144242399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113144242501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5527656 + ... + 5548086.

It is an arithmetic number, because the mean of its divisors is an integer number (3671875584).

Almost surely, 2113144242401 is an apocalyptic number.

It is an amenable number.

113144242401 is a deficient number, since it is larger than the sum of its proper divisors (63105785631).

113144242401 is a wasteful number, since it uses less digits than its factorization.

113144242401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21354 (or 21351 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 113144242401 its reverse (104242441311), we get a palindrome (217386683712).

The spelling of 113144242401 in words is "one hundred thirteen billion, one hundred forty-four million, two hundred forty-two thousand, four hundred one".

Divisors: 1 3 9 23 31 69 93 207 279 713 863 2139 2589 6417 7767 19849 20431 26753 59547 61293 80259 178641 183879 240777 469913 615319 633361 1409739 1845957 1900083 4229217 5537871 5700249 14567303 17631953 43701909 52895859 131105727 158687577 405534919 546590543 1216604757 1639771629 3649814271 4919314887 12571582489 37714747467 113144242401