Search a number
-
+
111022210000 = 245413854017
BaseRepresentation
bin110011101100101110…
…0000111101111010000
3101121120022212121212201
41213121130013233100
53304333141210000
6123000343132544
711010143133352
oct1473134075720
9347508777781
10111022210000
11430a2163669
1219625144154
13a6142123b0
145532c730d2
152d4bc1496a
hex19d9707bd0

111022210000 has 100 divisors (see below), whose sum is σ = 289472817172. Its totient is φ = 40992768000.

The previous prime is 111022209997. The next prime is 111022210121. The reversal of 111022210000 is 12220111.

It can be written as a sum of positive squares in 10 ways, for example, as 73890461584 + 37131748416 = 271828^2 + 192696^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1110222100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297009 + ... + 557008.

Almost surely, 2111022210000 is an apocalyptic number.

111022210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111022210000 is an abundant number, since it is smaller than the sum of its proper divisors (178450607172).

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

111022210000 is an equidigital number, since it uses as much as digits as its factorization.

111022210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854058 (or 854037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 111022210000 its reverse (12220111), we get a palindrome (111034430111).

The spelling of 111022210000 in words is "one hundred eleven billion, twenty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 854017 1708034 3416068 4270085 6832136 8540170 11102221 13664272 17080340 21350425 22204442 34160680 42700850 44408884 55511105 68321360 85401700 88817768 106752125 111022210 170803400 177635536 213504250 222044420 277555525 341606800 427008500 444088840 533760625 555111050 854017000 888177680 1067521250 1110222100 1387777625 1708034000 2135042500 2220444200 2775555250 4270085000 4440888400 5551110500 6938888125 8540170000 11102221000 13877776250 22204442000 27755552500 55511105000 111022210000