Search a number
-
+
110200011111120 = 2435765595244709
BaseRepresentation
bin11001000011100111110000…
…100001000011101011010000
3112110012000111020201222012110
4121003213300201003223100
5103421004110321023440
61030213104120025320
732132455002101520
oct3103476041035320
9473160436658173
10110200011111120
1132127620400337
1210439600902240
134964a7c9b0b58
141d2d9cd6b5680
15cb184db2e080
hex6439f0843ad0

110200011111120 has 80 divisors (see below), whose sum is σ = 390422896513920. Its totient is φ = 25188573967872.

The previous prime is 110200011111083. The next prime is 110200011111187. The reversal of 110200011111120 is 21111110002011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110200011111096 and 110200011111105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32797620675 + ... + 32797624034.

It is an arithmetic number, because the mean of its divisors is an integer number (4880286206424).

Almost surely, 2110200011111120 is an apocalyptic number.

110200011111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110200011111120 is an abundant number, since it is smaller than the sum of its proper divisors (280222885402800).

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

110200011111120 is a wasteful number, since it uses less digits than its factorization.

110200011111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65595244732 (or 65595244726 counting only the distinct ones).

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

Adding to 110200011111120 its reverse (21111110002011), we get a palindrome (131311121113131).

The spelling of 110200011111120 in words is "one hundred ten trillion, two hundred billion, eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 65595244709 131190489418 196785734127 262380978836 327976223545 393571468254 459166712963 524761957672 655952447090 787142936508 918333425926 983928670635 1049523915344 1311904894180 1377500138889 1574285873016 1836666851852 1967857341270 2295833564815 2623809788360 2755000277778 3148571746032 3673333703704 3935714682540 4591667129630 5247619576720 5510000555556 6887500694445 7346667407408 7871429365080 9183334259260 11020001111112 13775001388890 15742858730160 18366668518520 22040002222224 27550002777780 36733337037040 55100005555560 110200011111120