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102021332 = 22722292273
BaseRepresentation
bin1100001010010…
…11100011010100
321002222012221212
412011023203110
5202104140312
614042400552
72346111200
oct605134324
9232865855
10102021332
1152652156
122a200158
13181a086a
14d799b00
158e53822
hex614b8d4

102021332 has 36 divisors (see below), whose sum is σ = 208684980. Its totient is φ = 43513344.

The previous prime is 102021329. The next prime is 102021389. The reversal of 102021332 is 233120201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 93045316 + 8976016 = 9646^2 + 2996^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43748 + ... + 46020.

It is an arithmetic number, because the mean of its divisors is an integer number (5796805).

Almost surely, 2102021332 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 102021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104342490).

102021332 is an abundant number, since it is smaller than the sum of its proper divisors (106663648).

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

102021332 is a wasteful number, since it uses less digits than its factorization.

102021332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 102021332 is about 10100.5609745202. The cubic root of 102021332 is about 467.2654424986.

Adding to 102021332 its reverse (233120201), we get a palindrome (335141533).

The spelling of 102021332 in words is "one hundred two million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 229 458 916 1603 2273 3206 4546 6412 9092 11221 15911 22442 31822 44884 63644 111377 222754 445508 520517 1041034 2082068 3643619 7287238 14574476 25505333 51010666 102021332