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1121103111100 = 2252719691112197
BaseRepresentation
bin10000010100000110111…
…100111110001110111100
310222011202121021212221011
4100110012330332032330
5121332004344023400
62215005550245004
7143665660132540
oct20240674761674
93864677255834
101121103111100
113a250352a785
1216133b1b6764
1381947b8296b
143c39409ba20
151e2684b98ba
hex10506f3e3bc

1121103111100 has 144 divisors (see below), whose sum is σ = 2927332638720. Its totient is φ = 364065235200.

The previous prime is 1121103111077. The next prime is 1121103111137. The reversal of 1121103111100 is 11113011211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91910202 + ... + 91922398.

It is an arithmetic number, because the mean of its divisors is an integer number (20328698880).

Almost surely, 21121103111100 is an apocalyptic number.

1121103111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121103111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463666319360).

1121103111100 is an abundant number, since it is smaller than the sum of its proper divisors (1806229527620).

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

1121103111100 is a wasteful number, since it uses less digits than its factorization.

1121103111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19148 (or 19141 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1121103111100 its reverse (11113011211), we get a palindrome (1132216122311).

The spelling of 1121103111100 in words is "one trillion, one hundred twenty-one billion, one hundred three million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 6911 12197 13300 13822 24394 27644 34555 48377 48788 60985 69110 85379 96754 121970 131309 138220 170758 172775 193508 231743 241885 243940 262618 304925 341516 345550 426895 463486 483770 525236 609850 656545 691100 853790 919163 926972 967540 1158715 1209425 1219700 1313090 1622201 1707580 1838326 2134475 2317430 2418850 2626180 3244402 3282725 3676652 4268950 4595815 4634860 4837700 5793575 6488804 6565450 8111005 8537900 9191630 11587150 13130900 16222010 18383260 22979075 23174300 32444020 40555025 45958150 81110050 84293467 91916300 162220100 168586934 337173868 421467335 590054269 842934670 1180108538 1601575873 1685869340 2107336675 2360217076 2950271345 3203151746 4214673350 5900542690 6406303492 8007879365 8429346700 11211031111 11801085380 14751356725 16015758730 22422062222 29502713450 32031517460 40039396825 44844124444 56055155555 59005426900 80078793650 112110311110 160157587300 224220622220 280275777775 560551555550 1121103111100