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11022110001100 = 22521115763822293
BaseRepresentation
bin1010000001100100100011…
…1100111000011111001100
31110000200222210112002221001
42200121020330320133030
52421041240130013400
635235253141350044
72215215106120042
oct240311074703714
943020883462831
1011022110001100
11356a4a5827aa0
1212a01aa408324
1361c4c3caba43
142a1689b8c392
15141a9c7b5a6a
hexa0648f387cc

11022110001100 has 72 divisors (see below), whose sum is σ = 26258534065008. Its totient is φ = 3982511020800.

The previous prime is 11022110001083. The next prime is 11022110001113. The reversal of 11022110001100 is 110001122011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31738447 + ... + 32083846.

It is an arithmetic number, because the mean of its divisors is an integer number (364701862014).

Almost surely, 211022110001100 is an apocalyptic number.

11022110001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022110001100 is an abundant number, since it is smaller than the sum of its proper divisors (15236424063908).

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

11022110001100 is a wasteful number, since it uses less digits than its factorization.

11022110001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63822475 (or 63822468 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11022110001100 its reverse (110001122011), we get a palindrome (11132111123111).

The spelling of 11022110001100 in words is "eleven trillion, twenty-two billion, one hundred ten million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 157 220 275 314 550 628 785 1100 1570 1727 3140 3454 3925 6908 7850 8635 15700 17270 34540 43175 86350 172700 63822293 127644586 255289172 319111465 638222930 702045223 1276445860 1404090446 1595557325 2808180892 3191114650 3510226115 6382229300 7020452230 10020100001 14040904460 17551130575 20040200002 35102261150 40080400004 50100500005 70204522300 100201000010 110221100011 200402000020 220442200022 250502500025 440884400044 501005000050 551105500055 1002010000100 1102211000110 2204422000220 2755527500275 5511055000550 11022110001100