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1100211222110 = 2571113900112211
BaseRepresentation
bin10000000000101001101…
…100101111011001011110
310220011211121111221222212
4100000221230233121132
5121011213033101420
62201232520440422
7142326155041310
oct20005154573136
93804747457885
101100211222110
11394662609320
1215928a619112
137c998791480
143b37156b7b0
151d9442c53c5
hex10029b2f65e

1100211222110 has 128 divisors (see below), whose sum is σ = 2659485201408. Its totient is φ = 316483200000.

The previous prime is 1100211222109. The next prime is 1100211222151. The reversal of 1100211222110 is 112221120011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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, 90093905 + ... + 90106115.

It is an arithmetic number, because the mean of its divisors is an integer number (20777228136).

Almost surely, 21100211222110 is an apocalyptic number.

1100211222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100211222110 is an abundant number, since it is smaller than the sum of its proper divisors (1559273979298).

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

1100211222110 is a wasteful number, since it uses less digits than its factorization.

1100211222110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21250.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1100211222110 its reverse (112221120011), we get a palindrome (1212432342121).

The spelling of 1100211222110 in words is "one trillion, one hundred billion, two hundred eleven million, two hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 9001 10010 12211 18002 24422 45005 61055 63007 85477 90010 99011 117013 122110 126014 134321 158743 170954 198022 234026 268642 315035 317486 427385 495055 585065 630070 671605 693077 793715 819091 854770 940247 990110 1111201 1170130 1287143 1343210 1386154 1587430 1638182 1746173 1880494 2222402 2574286 3465385 3492346 4095455 4701235 5556005 6435715 6930770 8190910 8730865 9010001 9402470 11112010 12223211 12871430 17461730 18020002 24446422 45050005 61116055 90100010 109911211 122232110 219822422 549556055 769378477 1099112110 1209023321 1428845743 1538756954 2418046642 2857691486 3846892385 6045116605 7144228715 7693784770 8463163247 10001920201 12090233210 14288457430 15717303173 16926326494 20003840402 31434606346 42315816235 50009601005 78586515865 84631632470 100019202010 110021122211 157173031730 220042244422 550105611055 1100211222110