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1098200961 = 321121377573
BaseRepresentation
bin100000101110101…
…0011011110000001
32211112110101111200
41001131103132001
54222114412321
6300550131413
736133361034
oct10135233601
92745411450
101098200961
115139a6700
12267950b69
131466a0b70
14a5bd101b
156662cd26
hex41753781

1098200961 has 36 divisors (see below), whose sum is σ = 1877756244. Its totient is φ = 614370240.

The previous prime is 1098200921. The next prime is 1098200963. The reversal of 1098200961 is 1690028901.

It can be written as a sum of positive squares in 2 ways, for example, as 696960000 + 401240961 = 26400^2 + 20031^2 .

It is not a de Polignac number, because 1098200961 - 210 = 1098199937 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098200963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24630 + ... + 52943.

Almost surely, 21098200961 is an apocalyptic number.

1098200961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1098200961 is a deficient number, since it is larger than the sum of its proper divisors (779555283).

1098200961 is a wasteful number, since it uses less digits than its factorization.

1098200961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77614 (or 77600 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1098200961 is about 33139.1152718355. The cubic root of 1098200961 is about 1031.7170471118.

The spelling of 1098200961 in words is "one billion, ninety-eight million, two hundred thousand, nine hundred sixty-one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1573 4719 14157 77573 232719 698157 853303 1008449 2559909 3025347 7679727 9076041 9386333 11092939 28158999 33278817 84476997 99836451 122022329 366066987 1098200961