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11001211998 = 2373767157673
BaseRepresentation
bin10100011111011100…
…10010110001011110
31001101200201110210020
422033232102301132
5140012302240443
65015350053010
7536422521240
oct121756226136
931350643706
1011001211998
114735996447
12217034a166
1310642601ca
14765108090
15445c2d583
hex28fb92c5e

11001211998 has 128 divisors (see below), whose sum is σ = 26416831488. Its totient is φ = 2988969984.

The previous prime is 11001211997. The next prime is 11001211999. The reversal of 11001211998 is 89911210011.

It is an interprime number because it is at equal distance from previous prime (11001211997) and next prime (11001211999).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001211993) 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 63 ways as a sum of consecutive naturals, for example, 16346190 + ... + 16346862.

It is an arithmetic number, because the mean of its divisors is an integer number (206381496).

Almost surely, 211001211998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001211998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208415744).

11001211998 is an abundant number, since it is smaller than the sum of its proper divisors (15415619490).

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

11001211998 is a wasteful number, since it uses less digits than its factorization.

11001211998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946.

The product of its (nonzero) digits is 1296, while the sum is 33.

The spelling of 11001211998 in words is "eleven billion, one million, two hundred eleven thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 37 42 67 74 111 134 157 201 222 259 314 402 469 471 518 673 777 938 942 1099 1346 1407 1554 2019 2198 2479 2814 3297 4038 4711 4958 5809 6594 7437 9422 10519 11618 14133 14874 17353 17427 21038 24901 28266 31557 34706 34854 40663 45091 49802 52059 63114 73633 74703 81326 90182 104118 105661 121989 135273 147266 149406 174307 211322 220899 243978 270546 315637 316983 348614 389203 441798 522921 631274 633966 739627 778406 946911 1045842 1167609 1479254 1668367 1893822 2218881 2335218 2724421 3336734 3909457 4437762 5005101 5448842 7079287 7818914 8173263 10010202 11678569 11728371 14158574 16346526 21237861 23357138 23456742 27366199 35035707 42475722 49555009 54732398 70071414 82098597 99110018 148665027 164197194 261933619 297330054 523867238 785800857 1571601714 1833535333 3667070666 5500605999 11001211998