Search a number
-
+
110120001122120 = 23511449355702811
BaseRepresentation
bin11001000010011101001111…
…100011001010111101001000
3112102220100222012211101212112
4121002131033203022331020
5103413201230241401440
61030112232524201452
732123623166314463
oct3102351743127510
9472810865741775
10110120001122120
11320a66a28a1390
1210425bb1699288
13495a36b78c4b2
141d29b9d49a2da
15cae71983a965
hex64274f8caf48

110120001122120 has 64 divisors (see below), whose sum is σ = 270354712098240. Its totient is φ = 40034723603200.

The previous prime is 110120001122107. The next prime is 110120001122147. The reversal of 110120001122120 is 21221100021011.

It is a junction number, because it is equal to n+sod(n) for n = 110120001122095 and 110120001122104.

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 15 ways as a sum of consecutive naturals, for example, 25874486 + ... + 29828325.

It is an arithmetic number, because the mean of its divisors is an integer number (4224292376535).

Almost surely, 2110120001122120 is an apocalyptic number.

110120001122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120001122120 is an abundant number, since it is smaller than the sum of its proper divisors (160234710976120).

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

110120001122120 is a wasteful number, since it uses less digits than its factorization.

110120001122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55707326 (or 55707322 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110120001122120 its reverse (21221100021011), we get a palindrome (131341101143131).

The spelling of 110120001122120 in words is "one hundred ten trillion, one hundred twenty billion, one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4493 8986 17972 22465 35944 44930 49423 89860 98846 179720 197692 247115 395384 494230 988460 1976920 55702811 111405622 222811244 278514055 445622488 557028110 612730921 1114056220 1225461842 2228112440 2450923684 3063654605 4901847368 6127309210 12254618420 24509236840 250272729823 500545459646 1001090919292 1251363649115 2002181838584 2502727298230 2753000028053 5005454596460 5506000056106 10010909192920 11012000112212 13765000140265 22024000224424 27530000280530 55060000561060 110120001122120