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98000010001 = 617130797349
BaseRepresentation
bin101101101000101000…
…0010111101100010001
3100100221210022022202001
41123101100113230101
53101201000310001
6113004240154001
710036350224605
oct1332120275421
9310853268661
1098000010001
113861a4a6003
1216bb0008901
13931a369aca
144a595a9505
15283887a001
hex16d1417b11

98000010001 has 16 divisors (see below), whose sum is σ = 101056032000. Its totient is φ = 94992004800.

The previous prime is 98000009999. The next prime is 98000010011. The reversal of 98000010001 is 10001000089.

It is a cyclic number.

It is not a de Polignac number, because 98000010001 - 21 = 98000009999 is a prime.

It is a super-2 number, since 2×980000100012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

98000010001 is a modest number, since divided by 10001 gives 980 as remainder.

It is not an unprimeable number, because it can be changed into a prime (98000010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13331475 + ... + 13338823.

It is an arithmetic number, because the mean of its divisors is an integer number (6316002000).

Almost surely, 298000010001 is an apocalyptic number.

It is an amenable number.

98000010001 is a deficient number, since it is larger than the sum of its proper divisors (3056021999).

98000010001 is a wasteful number, since it uses less digits than its factorization.

98000010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 98000010001 in words is "ninety-eight billion, ten thousand, one".

Divisors: 1 61 71 3079 4331 7349 187819 218609 448289 521779 13335149 22627571 31828519 1380281831 1606557541 98000010001