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102412123 = 1123834877
BaseRepresentation
bin1100001101010…
…10111101011011
321010201002000121
412012222331123
5202204141443
614055014111
72352326422
oct606527533
9233632017
10102412123
1152899820
122a36a337
13182a96b8
14d85c2b9
158ece4ed
hex61aaf5b

102412123 has 16 divisors (see below), whose sum is σ = 118008576. Its totient is φ = 87963040.

The previous prime is 102412103. The next prime is 102412139. The reversal of 102412123 is 321214201.

It is not a de Polignac number, because 102412123 - 217 = 102281051 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102412097 and 102412106.

It is not an unprimeable number, because it can be changed into a prime (102412103) 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, 18561 + ... + 23437.

It is an arithmetic number, because the mean of its divisors is an integer number (7375536).

Almost surely, 2102412123 is an apocalyptic number.

102412123 is a deficient number, since it is larger than the sum of its proper divisors (15596453).

102412123 is a wasteful number, since it uses less digits than its factorization.

102412123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 102412123 is about 10119.8874993747. The cubic root of 102412123 is about 467.8612998163.

Adding to 102412123 its reverse (321214201), we get a palindrome (423626324).

It can be divided in two parts, 1024121 and 23, that added together give a square (1024144 = 10122).

The spelling of 102412123 in words is "one hundred two million, four hundred twelve thousand, one hundred twenty-three".

Divisors: 1 11 23 83 253 913 1909 4877 20999 53647 112171 404791 1233881 4452701 9310193 102412123