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102240124401 = 31921031635623
BaseRepresentation
bin101111100110111111…
…1000111110111110001
3100202220021211110020010
41133031333013313301
53133341432440101
6114545104405133
710246414501302
oct1371577076761
9322807743203
10102240124401
113a3a5980788
12179940167a9
13984494c43c
144d3c7847a9
1529d5c302d6
hex17cdfc7df1

102240124401 has 48 divisors (see below), whose sum is σ = 146186566656. Its totient is φ = 63542182752.

The previous prime is 102240124387. The next prime is 102240124409. The reversal of 102240124401 is 104421042201.

It is a de Polignac number, because none of the positive numbers 2k-102240124401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102240124409) 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, 18179676 + ... + 18185298.

It is an arithmetic number, because the mean of its divisors is an integer number (3045553472).

Almost surely, 2102240124401 is an apocalyptic number.

It is an amenable number.

102240124401 is a deficient number, since it is larger than the sum of its proper divisors (43946442255).

102240124401 is a wasteful number, since it uses less digits than its factorization.

102240124401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102240124401 its reverse (104421042201), we get a palindrome (206661166602).

The spelling of 102240124401 in words is "one hundred two billion, two hundred forty million, one hundred twenty-four thousand, four hundred one".

Divisors: 1 3 19 57 103 163 309 361 489 1083 1957 3097 5623 5871 9291 16789 16869 37183 50367 58843 106837 111549 176529 318991 320511 579169 916549 956973 1737507 2029903 2749647 6060829 6089709 11004211 17414431 18182487 33012633 52243293 94404547 209080009 283213641 330874189 627240027 992622567 1793686393 5381059179 34080041467 102240124401