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1100121022110 = 2351175715792789
BaseRepresentation
bin10000000000100100010…
…100101001111010011110
310220011121022210022212010
4100000210110221322132
5121011021440201420
62201215535252050
7142324011253455
oct20004424517236
93804538708763
101100121022110
11394616700770
1215926437a026
137c982b9c4a6
143b3635abb9c
151d93b4094e0
hex10024529e9e

1100121022110 has 128 divisors (see below), whose sum is σ = 2886983078400. Its totient is φ = 266079582720.

The previous prime is 1100121022097. The next prime is 1100121022211. The reversal of 1100121022110 is 112201210011.

It is a super-2 number, since 2×11001210221102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 394448596 + ... + 394451384.

It is an arithmetic number, because the mean of its divisors is an integer number (22554555300).

Almost surely, 21100121022110 is an apocalyptic number.

1100121022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100121022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443491539200).

1100121022110 is an abundant number, since it is smaller than the sum of its proper divisors (1786862056290).

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

1100121022110 is a wasteful number, since it uses less digits than its factorization.

1100121022110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100121022110 its reverse (112201210011), we get a palindrome (1212322232121).

The spelling of 1100121022110 in words is "one trillion, one hundred billion, one hundred twenty-one million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 757 1514 1579 2271 2789 3158 3785 4542 4737 5578 7570 7895 8327 8367 9474 11355 13945 15790 16654 16734 17369 22710 23685 24981 27890 30679 34738 41635 41835 47370 49962 52107 61358 83270 83670 86845 92037 104214 124905 153395 173690 184074 249810 260535 306790 460185 521070 920370 1195303 2111273 2390606 3585909 4222546 4403831 5976515 6333819 7171818 8807662 10556365 11953030 12667638 13148333 13211493 17929545 21112730 22019155 23224003 26296666 26422986 31669095 35859090 39444999 44038310 46448006 48442141 63338190 65741665 66057465 69672009 78889998 96884282 116120015 131483330 132114930 139344018 145326423 197224995 232240030 242210705 290652846 348360045 394449990 484421410 696720090 726632115 1453264230 3333700067 6667400134 10001100201 16668500335 20002200402 33337000670 36670700737 50005501005 73341401474 100011002010 110012102211 183353503685 220024204422 366707007370 550060511055 1100121022110