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11314020198 = 23134710692887
BaseRepresentation
bin10101000100101111…
…00011111101100110
31002012111022202222010
422202113203331212
5141132342121243
65110402415050
7550241404425
oct124227437546
932174282863
1011314020198
114886518918
122239061486
1310b3cc3b10
147948932bc
1546341c433
hex2a25e3f66

11314020198 has 64 divisors (see below), whose sum is σ = 24919050240. Its totient is φ = 3402801792.

The previous prime is 11314020197. The next prime is 11314020199. The reversal of 11314020198 is 89102041311.

It is an interprime number because it is at equal distance from previous prime (11314020197) and next prime (11314020199).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314020197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3917511 + ... + 3920397.

It is an arithmetic number, because the mean of its divisors is an integer number (389360160).

Almost surely, 211314020198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11314020198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12459525120).

11314020198 is an abundant number, since it is smaller than the sum of its proper divisors (13605030042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11314020198 is a wasteful number, since it uses less digits than its factorization.

11314020198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021.

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 11314020198 in words is "eleven billion, three hundred fourteen million, twenty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 282 611 1069 1222 1833 2138 2887 3207 3666 5774 6414 8661 13897 17322 27794 37531 41691 50243 75062 83382 100486 112593 135689 150729 225186 271378 301458 407067 653159 814134 1306318 1763957 1959477 3086203 3527914 3918954 5291871 6172406 9258609 10583742 18517218 40120639 80241278 120361917 145051541 240723834 290103082 435154623 870309246 1885670033 3771340066 5657010099 11314020198