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22124013100 = 22527374212029
BaseRepresentation
bin10100100110101100…
…011010011000101100
32010002212020022110121
4110212230122120230
5330302221404400
614055202214324
71412153002630
oct244654323054
963085208417
1022124013100
119423479552
1243553543a4
132117752717
1410dc422dc0
1589747821a
hex526b1a62c

22124013100 has 144 divisors (see below), whose sum is σ = 56512146880. Its totient is φ = 7359206400.

The previous prime is 22124013091. The next prime is 22124013103. The reversal of 22124013100 is 131042122.

It is a super-2 number, since 2×221240131002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22124013103) 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, 10902886 + ... + 10904914.

Almost surely, 222124013100 is an apocalyptic number.

22124013100 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 22124013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28256073440).

22124013100 is an abundant number, since it is smaller than the sum of its proper divisors (34388133780).

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

22124013100 is a wasteful number, since it uses less digits than its factorization.

22124013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22124013100 its reverse (131042122), we get a palindrome (22255055222).

The spelling of 22124013100 in words is "twenty-two billion, one hundred twenty-four million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 421 518 700 740 842 925 1036 1295 1684 1850 2029 2105 2590 2947 3700 4058 4210 5180 5894 6475 8116 8420 10145 10525 11788 12950 14203 14735 15577 20290 21050 25900 28406 29470 31154 40580 42100 50725 56812 58940 62308 71015 73675 75073 77885 101450 109039 142030 147350 150146 155770 202900 218078 284060 294700 300292 311540 355075 375365 389425 436156 525511 545195 710150 750730 778850 854209 1051022 1090390 1420300 1501460 1557700 1708418 1876825 2102044 2180780 2627555 2725975 3416836 3753650 4271045 5255110 5451950 5979463 7507300 8542090 10510220 10903900 11958926 13137775 17084180 21355225 23917852 26275550 29897315 31605733 42710450 52551100 59794630 63211466 85420900 119589260 126422932 149486575 158028665 221240131 298973150 316057330 442480262 597946300 632114660 790143325 884960524 1106200655 1580286650 2212401310 3160573300 4424802620 5531003275 11062006550 22124013100