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103002201 = 321721992
BaseRepresentation
bin1100010001110…
…11000001011001
321011211001110100
412020323001121
5202332032301
614115410013
72360334651
oct610730131
9234731410
10103002201
1153162095
122a5b3909
1318455163
14d973361
159099286
hex623b059

103002201 has 27 divisors (see below), whose sum is σ = 158845791. Its totient is φ = 64304064.

The previous prime is 103002169. The next prime is 103002203. The reversal of 103002201 is 102200301.

It is a happy number.

The square root of 103002201 is 10149.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80192025 + 22810176 = 8955^2 + 4776^2 .

It is not a de Polignac number, because 103002201 - 25 = 103002169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (103002203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 517500 + ... + 517698.

Almost surely, 2103002201 is an apocalyptic number.

103002201 is the 10149-th square number.

103002201 is the 5075-th centered octagonal number.

It is an amenable number.

103002201 is a deficient number, since it is larger than the sum of its proper divisors (55843590).

103002201 is an equidigital number, since it uses as much as digits as its factorization.

103002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The cubic root of 103002201 is about 468.7581536715.

Adding to 103002201 its reverse (102200301), we get a palindrome (205202502).

The spelling of 103002201 in words is "one hundred three million, two thousand, two hundred one".

Divisors: 1 3 9 17 51 153 199 289 597 867 1791 2601 3383 10149 30447 39601 57511 118803 172533 356409 517599 673217 2019651 6058953 11444689 34334067 103002201