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102351324 = 22329377949
BaseRepresentation
bin1100001100111…
…00000111011100
321010120222121210
412012130013130
5202200220244
614053424420
72351654235
oct606340734
9233528553
10102351324
1152858079
122a33b110
1318287b1a
14d84408c
158ebb4b9
hex619c1dc

102351324 has 48 divisors (see below), whose sum is σ = 253764000. Its totient is φ = 32046336.

The previous prime is 102351323. The next prime is 102351331. The reversal of 102351324 is 423153201.

It is a self number, because there is not a number n which added to its sum of digits gives 102351324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102351323) 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 15 ways as a sum of consecutive naturals, for example, 8902 + ... + 16850.

It is an arithmetic number, because the mean of its divisors is an integer number (5286750).

Almost surely, 2102351324 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 102351324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126882000).

102351324 is an abundant number, since it is smaller than the sum of its proper divisors (151412676).

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

102351324 is a wasteful number, since it uses less digits than its factorization.

102351324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022 (or 8020 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 102351324 is about 10116.8831168498. The cubic root of 102351324 is about 467.7686964237.

The spelling of 102351324 in words is "one hundred two million, three hundred fifty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 1073 2146 3219 4292 6438 7949 12876 15898 23847 31796 47694 95388 230521 294113 461042 588226 691563 882339 922084 1176452 1383126 1764678 2766252 3529356 8529277 17058554 25587831 34117108 51175662 102351324