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11001100012098 = 23737101157446441
BaseRepresentation
bin1010000000010110010010…
…1010001000101001000010
31102221200202120112002020020
42200011210222020221002
52420220223100341343
635221500252354310
72213542341136560
oct240054452105102
942850676462206
1011001100012098
1135615a4182319
121298106175996
1361a5262aa3a1
142a06556b8a30
1514126d043b83
hexa0164a88a42

11001100012098 has 128 divisors (see below), whose sum is σ = 26246846624256. Its totient is φ = 3008648448000.

The previous prime is 11001100012081. The next prime is 11001100012127. The reversal of 11001100012098 is 89021000110011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24418558 + ... + 24864998.

It is an arithmetic number, because the mean of its divisors is an integer number (205053489252).

Almost surely, 211001100012098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001100012098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123423312128).

11001100012098 is an abundant number, since it is smaller than the sum of its proper divisors (15245746612158).

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

11001100012098 is a wasteful number, since it uses less digits than its factorization.

11001100012098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446748.

The product of its (nonzero) digits is 144, while the sum is 24.

The spelling of 11001100012098 in words is "eleven trillion, one billion, one hundred million, twelve thousand, ninety-eight".

Divisors: 1 2 3 6 7 14 21 37 42 74 101 111 157 202 222 259 303 314 471 518 606 707 777 942 1099 1414 1554 2121 2198 3297 3737 4242 5809 6594 7474 11211 11618 15857 17427 22422 26159 31714 34854 40663 47571 52318 78477 81326 95142 110999 121989 156954 221998 243978 332997 446441 586709 665994 892882 1173418 1339323 1760127 2678646 3125087 3520254 4106963 6250174 8213926 9375261 12320889 16518317 18750522 24641778 33036634 45090541 49554951 70091237 90181082 99109902 115628219 135271623 140182474 210273711 231256438 270543246 315633787 346884657 420547422 490638659 631267574 693769314 946901361 981277318 1471915977 1668350017 1893802722 2593375769 2943831954 3336700034 5005050051 5186751538 7079214937 7780127307 10010100102 11678450119 14158429874 15560254614 18153630383 21237644811 23356900238 35035350357 36307260766 42475289622 49554504559 54460891149 70070700714 99109009118 108921782298 148663513677 261930952669 297327027354 523861905338 785792858007 1571585716014 1833516668683 3667033337366 5500550006049 11001100012098