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102115024 = 241143103131
BaseRepresentation
bin1100001011000…
…10011011010000
321010010222110221
412011202123100
5202120140044
614044402424
72346651304
oct605423320
9233128427
10102115024
1152706590
122a246414
13182043bb
14d7c1d04
158e71484
hex61626d0

102115024 has 80 divisors (see below), whose sum is σ = 224699904. Its totient is φ = 44553600.

The previous prime is 102115021. The next prime is 102115031. The reversal of 102115024 is 420511201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102114989 and 102115007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102115021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779439 + ... + 779569.

Almost surely, 2102115024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102115024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112349952).

102115024 is an abundant number, since it is smaller than the sum of its proper divisors (122584880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102115024 is a wasteful number, since it uses less digits than its factorization.

102115024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 102115024 is about 10105.1978704031. The cubic root of 102115024 is about 467.4084375573.

Adding to 102115024 its reverse (420511201), we get a palindrome (522626225).

The spelling of 102115024 in words is "one hundred two million, one hundred fifteen thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 103 131 172 176 206 262 344 412 473 524 688 824 946 1048 1133 1441 1648 1892 2096 2266 2882 3784 4429 4532 5633 5764 7568 8858 9064 11266 11528 13493 17716 18128 22532 23056 26986 35432 45064 48719 53972 61963 70864 90128 97438 107944 123926 148423 194876 215888 247852 296846 389752 495704 580199 593692 779504 991408 1160398 1187384 2320796 2374768 4641592 6382189 9283184 12764378 25528756 51057512 102115024