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101002401 = 3211222489
BaseRepresentation
bin1100000010100…
…10110010100001
321001001110020200
412001102302201
5201324034101
614004455413
72334335433
oct601226241
9231043220
10101002401
1152016665
12299aa569
1317c04b46
14d5b2653
158d01986
hex6052ca1

101002401 has 6 divisors (see below), whose sum is σ = 145892370. Its totient is φ = 67334928.

The previous prime is 101002387. The next prime is 101002403. The reversal of 101002401 is 104200101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 92621376 + 8381025 = 9624^2 + 2895^2 .

It is not a de Polignac number, because 101002401 - 213 = 100994209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11222489 = 101002401 / (1 + 0 + 1 + 0 + 0 + 2 + 4 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (101002403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611236 + ... + 5611253.

It is an arithmetic number, because the mean of its divisors is an integer number (24315395).

Almost surely, 2101002401 is an apocalyptic number.

It is an amenable number.

101002401 is a deficient number, since it is larger than the sum of its proper divisors (44889969).

101002401 is a wasteful number, since it uses less digits than its factorization.

101002401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222495 (or 11222492 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101002401 is about 10049.9950746257. The cubic root of 101002401 is about 465.7046410085.

Adding to 101002401 its reverse (104200101), we get a palindrome (205202502).

The spelling of 101002401 in words is "one hundred one million, two thousand, four hundred one".

Divisors: 1 3 9 11222489 33667467 101002401