Search a number
-
+
9801458101 = 376119322501
BaseRepresentation
bin10010010000011011…
…00110000110110101
3221022002011122211201
421020031212012311
5130033133124401
64300331132501
7464614006411
oct111015460665
927262148751
109801458101
11417a7385a6
121a965a4131
13c02823a66
1468da3dd41
153c5740b01
hex2483661b5

9801458101 has 16 divisors (see below), whose sum is σ = 10284854128. Its totient is φ = 9331200000.

The previous prime is 9801458099. The next prime is 9801458113. The reversal of 9801458101 is 1018541089.

It can be written as a sum of positive squares in 8 ways, for example, as 301057201 + 9500400900 = 17351^2 + 97470^2 .

It is a 6-Lehmer number, since φ(9801458101) divides (9801458101-1)6.

It is a cyclic number.

It is not a de Polignac number, because 9801458101 - 21 = 9801458099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9801458501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424351 + ... + 446851.

It is an arithmetic number, because the mean of its divisors is an integer number (642803383).

Almost surely, 29801458101 is an apocalyptic number.

It is an amenable number.

9801458101 is a deficient number, since it is larger than the sum of its proper divisors (483396027).

9801458101 is a wasteful number, since it uses less digits than its factorization.

9801458101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22792.

The product of its (nonzero) digits is 11520, while the sum is 37.

The square root of 9801458101 is about 99002.3136143797. The cubic root of 9801458101 is about 2140.0810885074.

The spelling of 9801458101 in words is "nine billion, eight hundred one million, four hundred fifty-eight thousand, one hundred one".

Divisors: 1 37 61 193 2257 7141 11773 22501 435601 832537 1372561 4342693 50784757 160679641 264904273 9801458101