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11011100110002 = 2323126981798969
BaseRepresentation
bin1010000000111011100010…
…1101011110110010110010
31102222122120111110200122200
42200032320231132302302
52420401213112010002
635230232441244030
72214345216440136
oct240167055366262
942878514420580
1011011100110002
113565865a53943
12129a037193616
1361b45b000295
142a0d238653c6
15141655e20b1c
hexa03b8b5ecb2

11011100110002 has 96 divisors (see below), whose sum is σ = 24724305216000. Its totient is φ = 3537936264960.

The previous prime is 11011100109979. The next prime is 11011100110019. The reversal of 11011100110002 is 20001100111011.

11011100110002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227679774 + ... + 1227688742.

It is an arithmetic number, because the mean of its divisors is an integer number (257544846000).

Almost surely, 211011100110002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011100110002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362152608000).

11011100110002 is an abundant number, since it is smaller than the sum of its proper divisors (13713205105998).

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

11011100110002 is a wasteful number, since it uses less digits than its factorization.

11011100110002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17456 (or 17453 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11011100110002 its reverse (20001100111011), we get a palindrome (31012200221013).

The spelling of 11011100110002 in words is "eleven trillion, eleven billion, one hundred million, one hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 31 62 93 186 269 279 538 558 807 1614 2421 4842 8179 8339 8969 16358 16678 17938 24537 25017 26907 49074 50034 53814 73611 75051 80721 147222 150102 161442 253549 278039 507098 556078 760647 834117 1521294 1668234 2200151 2281941 2412661 2502351 4400302 4563882 4825322 5004702 6600453 7237983 13200906 14475966 19801359 21713949 39602718 43427898 68204681 73357451 74792491 136409362 146714902 149584982 204614043 220072353 224377473 409228086 440144706 448754946 613842129 660217059 673132419 1227684258 1320434118 1346264838 2274080981 4548161962 6822242943 13644485886 19733154319 20466728829 39466308638 40933457658 59199462957 118398925914 177598388871 355196777742 611727783889 1223455567778 1835183351667 3670366703334 5505550055001 11011100110002