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1121122210110 = 2357131257158573
BaseRepresentation
bin10000010100001000000…
…101110101000100111110
310222011210221020012211220
4100110020011311010332
5121332024241210420
62215011511454210
7143666311360020
oct20241005650476
93864727205756
101121122210110
113a2513295091
12161345687366
138194bb0bc56
143c396830010
151e269edd840
hex1050817513e

1121122210110 has 128 divisors (see below), whose sum is σ = 3110628178944. Its totient is φ = 253309255680.

The previous prime is 1121122210057. The next prime is 1121122210133. The reversal of 1121122210110 is 110122211211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1121122210110.

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, 6990784 + ... + 7149356.

It is an arithmetic number, because the mean of its divisors is an integer number (24301782648).

Almost surely, 21121122210110 is an apocalyptic number.

1121122210110 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 1121122210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555314089472).

1121122210110 is an abundant number, since it is smaller than the sum of its proper divisors (1989505968834).

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

1121122210110 is a wasteful number, since it uses less digits than its factorization.

1121122210110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158978.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1121122210110 its reverse (110122211211), we get a palindrome (1231244421321).

The spelling of 1121122210110 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 131 210 257 262 393 514 655 771 786 917 1285 1310 1542 1799 1834 1965 2570 2751 3598 3855 3930 4585 5397 5502 7710 8995 9170 10794 13755 17990 26985 27510 33667 53970 67334 101001 158573 168335 202002 235669 317146 336670 471338 475719 505005 707007 792865 951438 1010010 1110011 1178345 1414014 1585730 2220022 2356690 2378595 3330033 3535035 4757190 5550055 6660066 7070070 11100110 16650165 20773063 33300330 40753261 41546126 62319189 81506522 103865315 122259783 124638378 145411441 203766305 207730630 244519566 285272827 290822882 311595945 407532610 436234323 570545654 611298915 623191890 727057205 855818481 872468646 1222597830 1426364135 1454114410 1711636962 2181171615 2852728270 4279092405 4362343230 5338677191 8558184810 10677354382 16016031573 26693385955 32032063146 37370740337 53386771910 74741480674 80080157865 112112221011 160160315730 186853701685 224224442022 373707403370 560561105055 1121122210110