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22100113332 = 22331143210061
BaseRepresentation
bin10100100101010001…
…001111011110110100
32010001012021002011000
4110211101033132310
5330230112111312
614052550043300
71411442602203
oct244521173664
963035232130
1022100113332
119410a35280
124349349530
13211280524b
1410d91a123a
15895306adc
hex52544f7b4

22100113332 has 144 divisors (see below), whose sum is σ = 63999149760. Its totient is φ = 6540609600.

The previous prime is 22100113309. The next prime is 22100113333. The reversal of 22100113332 is 23331100122.

22100113332 is a `hidden beast` number, since 221 + 0 + 0 + 113 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100113333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2191582 + ... + 2201642.

It is an arithmetic number, because the mean of its divisors is an integer number (444438540).

Almost surely, 222100113332 is an apocalyptic number.

22100113332 is a gapful number since it is divisible by the number (22) 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 22100113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31999574880).

22100113332 is an abundant number, since it is smaller than the sum of its proper divisors (41899036428).

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

22100113332 is a wasteful number, since it uses less digits than its factorization.

22100113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10171 (or 10120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22100113332 its reverse (23331100122), we get a palindrome (45431213454).

The spelling of 22100113332 in words is "twenty-two billion, one hundred million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 86 99 108 129 132 172 198 258 297 387 396 473 516 594 774 946 1161 1188 1419 1548 1849 1892 2322 2838 3698 4257 4644 5547 5676 7396 8514 10061 11094 12771 16641 17028 20122 20339 22188 25542 30183 33282 40244 40678 49923 51084 60366 61017 66564 81356 90549 99846 110671 120732 122034 181098 183051 199692 221342 244068 271647 332013 362196 366102 432623 442684 543294 549153 664026 732204 865246 996039 1086588 1098306 1297869 1328052 1730492 1992078 2196612 2595738 2988117 3893607 3984156 4758853 5191476 5976234 7787214 9517706 11680821 11952468 14276559 15574428 18602789 19035412 23361642 28553118 37205578 42829677 46723284 55808367 57106236 74411156 85659354 111616734 128489031 167425101 171318708 204630679 223233468 256978062 334850202 409261358 502275303 513956124 613892037 669700404 818522716 1004550606 1227784074 1841676111 2009101212 2455568148 3683352222 5525028333 7366704444 11050056666 22100113332