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1121101021110 = 2357431011229237
BaseRepresentation
bin10000010100000110110…
…100111111111110110110
310222011202110100201000010
4100110012310333332312
5121332003330133420
62215005433401050
7143665633306350
oct20240664777666
93864673321003
101121101021110
113a2502332514
1216133a569186
1381947600595
143c393ab60d0
151e2682054e0
hex10506d3ffb6

1121101021110 has 128 divisors (see below), whose sum is σ = 3177688402944. Its totient is φ = 247813977600.

The previous prime is 1121101021109. The next prime is 1121101021219. The reversal of 1121101021110 is 111201011211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297412 + ... + 1526648.

It is an arithmetic number, because the mean of its divisors is an integer number (24825690648).

Almost surely, 21121101021110 is an apocalyptic number.

1121101021110 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 1121101021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588844201472).

1121101021110 is an abundant number, since it is smaller than the sum of its proper divisors (2056587381834).

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

1121101021110 is a wasteful number, since it uses less digits than its factorization.

1121101021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229398.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1121101021110 its reverse (111201011211), we get a palindrome (1232302032321).

The spelling of 1121101021110 in words is "one trillion, one hundred twenty-one billion, one hundred one million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 101 105 129 202 210 215 258 301 303 430 505 602 606 645 707 903 1010 1290 1414 1505 1515 1806 2121 3010 3030 3535 4242 4343 4515 7070 8686 9030 10605 13029 21210 21715 26058 30401 43430 60802 65145 91203 130290 152005 182406 304010 456015 912030 1229237 2458474 3687711 6146185 7375422 8604659 12292370 17209318 18438555 25813977 36877110 43023295 51627954 52857191 86046590 105714382 124152937 129069885 158571573 248305874 258139770 264285955 317143146 370000337 372458811 528571910 620764685 740000674 744917622 792857865 869070559 1110001011 1241529370 1585715730 1738141118 1850001685 1862294055 2220002022 2607211677 3700003370 3724588110 4345352795 5214423354 5338576291 5550005055 8690705590 10677152582 11100010110 13036058385 16015728873 26072116770 26692881455 32031457746 37370034037 53385762910 74740068074 80078644365 112110102111 160157288730 186850170185 224220204222 373700340370 560550510555 1121101021110