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102415041 = 32313311109
BaseRepresentation
bin1100001101010…
…11101011000001
321010201020000200
412012223223001
5202204240131
614055035413
72352341061
oct606535301
9233636020
10102415041
11528a0a33
122a36bb69
13182aab21
14d85d3a1
158ed02e6
hex61abac1

102415041 has 24 divisors (see below), whose sum is σ = 153304320. Its totient is φ = 65815200.

The previous prime is 102415039. The next prime is 102415051. The reversal of 102415041 is 140514201.

It is not a de Polignac number, because 102415041 - 21 = 102415039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102415031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91795 + ... + 92903.

It is an arithmetic number, because the mean of its divisors is an integer number (6387680).

Almost surely, 2102415041 is an apocalyptic number.

It is an amenable number.

102415041 is a deficient number, since it is larger than the sum of its proper divisors (50889279).

102415041 is a wasteful number, since it uses less digits than its factorization.

102415041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102415041 is about 10120.0316699109. The cubic root of 102415041 is about 467.8657433212.

Adding to 102415041 its reverse (140514201), we get a palindrome (242929242).

The spelling of 102415041 in words is "one hundred two million, four hundred fifteen thousand, forty-one".

Divisors: 1 3 9 31 93 279 331 993 1109 2979 3327 9981 10261 30783 34379 92349 103137 309411 367079 1101237 3303711 11379449 34138347 102415041