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990198019901 = 73137354127961
BaseRepresentation
bin11100110100011000110…
…01101011011100111101
310111122212121021020121002
432122030121223130331
5112210411143114101
62034520220020045
7131353013203406
oct16321431533475
93448777236532
10990198019901
11351a38a711a2
1213baa7391625
13724b562130c
1435cd670c9ad
151ab55e70d6b
hexe68c66b73d

990198019901 has 16 divisors (see below), whose sum is σ = 1011410817648. Its totient is φ = 969196492800.

The previous prime is 990198019819. The next prime is 990198019969. The reversal of 990198019901 is 109910891099.

It can be written as a sum of positive squares in 8 ways, for example, as 10583059876 + 979614960025 = 102874^2 + 989755^2 .

It is a cyclic number.

It is not a de Polignac number, because 990198019901 - 210 = 990198018877 is a prime.

It is a super-2 number, since 2×9901980199012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990198019991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35399561 + ... + 35427521.

It is an arithmetic number, because the mean of its divisors is an integer number (63213176103).

Almost surely, 2990198019901 is an apocalyptic number.

It is an amenable number.

990198019901 is a deficient number, since it is larger than the sum of its proper divisors (21212797747).

990198019901 is a wasteful number, since it uses less digits than its factorization.

990198019901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31712.

The product of its (nonzero) digits is 472392, while the sum is 56.

It can be divided in two parts, 990 and 198019901, that added together give a palindrome (198020891).

The spelling of 990198019901 in words is "nine hundred ninety billion, one hundred ninety-eight million, nineteen thousand, nine hundred one".

Divisors: 1 73 137 3541 10001 27961 258493 485117 2041153 3830657 35413541 99009901 279637961 7227722773 13564356437 990198019901