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22011232100 = 225211131981013
BaseRepresentation
bin10100011111111110…
…001011111101100100
32002211000000110000112
4110133332023331210
5330034333411400
614040053032152
71406313246224
oct243776137544
962730013015
1022011232100
119375848510
124323625658
1320ca2855c0
1410cb466084
1588c5eb835
hex51ff8bf64

22011232100 has 144 divisors (see below), whose sum is σ = 59068927680. Its totient is φ = 6999436800.

The previous prime is 22011232073. The next prime is 22011232121. The reversal of 22011232100 is 123211022.

It is a happy 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, 231194 + ... + 312206.

Almost surely, 222011232100 is an apocalyptic number.

22011232100 is a gapful number since it is divisible by the number (20) 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 22011232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29534463840).

22011232100 is an abundant number, since it is smaller than the sum of its proper divisors (37057695580).

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

22011232100 is a wasteful number, since it uses less digits than its factorization.

22011232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81070 (or 81063 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22011232100 its reverse (123211022), we get a palindrome (22134443122).

The spelling of 22011232100 in words is "twenty-two billion, eleven million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 19 20 22 25 26 38 44 50 52 55 65 76 95 100 110 130 143 190 209 220 247 260 275 286 325 380 418 475 494 550 572 650 715 836 950 988 1045 1100 1235 1300 1430 1900 2090 2470 2717 2860 3575 4180 4940 5225 5434 6175 7150 10450 10868 12350 13585 14300 20900 24700 27170 54340 67925 81013 135850 162026 271700 324052 405065 810130 891143 1053169 1539247 1620260 1782286 2025325 2106338 3078494 3564572 4050650 4212676 4455715 5265845 6156988 7696235 8101300 8911430 10531690 11584859 15392470 16931717 17822860 20010211 21063380 22278575 23169718 26329225 30784940 33863434 38481175 40020422 44557150 46339436 52658450 57924295 67726868 76962350 80040844 84658585 89114300 100051055 105316900 115848590 153924700 169317170 200102110 220112321 231697180 289621475 338634340 400204220 423292925 440224642 500255275 579242950 846585850 880449284 1000510550 1100561605 1158485900 1693171700 2001021100 2201123210 4402246420 5502808025 11005616050 22011232100