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1122001001100 = 2232527178095397
BaseRepresentation
bin10000010100111100011…
…110001001101010001100
310222021002011211102110100
4100110330132021222030
5121340324224013400
62215235023211100
7144030142102620
oct20247436115214
93867064742410
101122001001100
113a2924350831
1216154ba46a90
1381a5bbbab15
143c43b429180
151e2bc22b100
hex1053c789a8c

1122001001100 has 108 divisors (see below), whose sum is σ = 4019256942064. Its totient is φ = 256457370240.

The previous prime is 1122001001027. The next prime is 1122001001119. The reversal of 1122001001100 is 11001002211.

It is a happy number.

It is a super-4 number, since 4×11220010011004 (a number of 49 digits) contains 4444 as substring.

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 35 ways as a sum of consecutive naturals, for example, 89041399 + ... + 89053998.

Almost surely, 21122001001100 is an apocalyptic number.

1122001001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122001001100 is an abundant number, since it is smaller than the sum of its proper divisors (2897255940964).

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

1122001001100 is a wasteful number, since it uses less digits than its factorization.

1122001001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178095424 (or 178095414 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1122001001100 its reverse (11001002211), we get a palindrome (1133002003311).

The spelling of 1122001001100 in words is "one trillion, one hundred twenty-two billion, one million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 178095397 356190794 534286191 712381588 890476985 1068572382 1246667779 1602858573 1780953970 2137144764 2493335558 2671430955 3205717146 3561907940 3740003337 4452384925 4986671116 5342861910 6233338895 6411434292 7480006674 8014292865 8904769850 10685723820 11220010011 12466677790 13357154775 14960013348 16028585730 17809539700 18700016685 22440020022 24933355580 26714309550 31166694475 32057171460 37400033370 40071464325 44880040044 53428619100 56100050055 62333388950 74800066740 80142928650 93500083425 112200100110 124666777900 160285857300 187000166850 224400200220 280500250275 374000333700 561000500550 1122001001100