Search a number
-
+
111000212420 = 22517279243091
BaseRepresentation
bin110011101100000100…
…0001101001111000100
3101121111210111000212112
41213120020031033010
53304312023244140
6122554235440152
711006455144436
oct1473010151704
9347453430775
10111000212420
11430907a9549
12196198b6058
13a60c7ac986
14552dd88656
152d49d1bc65
hex19d820d3c4

111000212420 has 72 divisors (see below), whose sum is σ = 250754259840. Its totient is φ = 41259179520.

The previous prime is 111000212419. The next prime is 111000212423. The reversal of 111000212420 is 24212000111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111000212395 and 111000212404.

It is not an unprimeable number, because it can be changed into a prime (111000212423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335075 + ... + 578165.

Almost surely, 2111000212420 is an apocalyptic number.

111000212420 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 111000212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125377129920).

111000212420 is an abundant number, since it is smaller than the sum of its proper divisors (139754047420).

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

111000212420 is a wasteful number, since it uses less digits than its factorization.

111000212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243213 (or 243194 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 111000212420 its reverse (24212000111), we get a palindrome (135212212531).

The spelling of 111000212420 in words is "one hundred eleven billion, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 158 170 289 316 340 395 578 790 1156 1343 1445 1580 2686 2890 5372 5780 6715 13430 22831 26860 45662 91324 114155 228310 243091 456620 486182 972364 1215455 2430910 4132547 4861820 8265094 16530188 19204189 20662735 38408378 41325470 70253299 76816756 82650940 96020945 140506598 192041890 281013196 326471213 351266495 384083780 652942426 702532990 1305884852 1405065980 1632356065 3264712130 5550010621 6529424260 11100021242 22200042484 27750053105 55500106210 111000212420