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102240127 = 11531571117
BaseRepresentation
bin1100001100000…
…00111101111111
321010101100002101
412012000331333
5202133141002
614051205531
72351012113
oct606007577
9233340071
10102240127
1152791580
122a2a68a7
1318249322
14d815743
158e98587
hex6180f7f

102240127 has 16 divisors (see below), whose sum is σ = 114465312. Its totient is φ = 90529920.

The previous prime is 102240113. The next prime is 102240133. The reversal of 102240127 is 721042201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102240127 is a prime.

It is a super-2 number, since 2×1022401272 = 20906087137952258, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102240157) 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, 90973 + ... + 92089.

It is an arithmetic number, because the mean of its divisors is an integer number (7154082).

Almost surely, 2102240127 is an apocalyptic number.

102240127 is a deficient number, since it is larger than the sum of its proper divisors (12225185).

102240127 is a wasteful number, since it uses less digits than its factorization.

102240127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 102240127 is about 10111.3860078626. The cubic root of 102240127 is about 467.5992365617.

Adding to 102240127 its reverse (721042201), we get a palindrome (823282328).

The spelling of 102240127 in words is "one hundred two million, two hundred forty thousand, one hundred twenty-seven".

Divisors: 1 11 53 157 583 1117 1727 8321 12287 59201 91531 175369 651211 1929059 9294557 102240127