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22113110223100 = 225213199124968437
BaseRepresentation
bin1010000011100100111000…
…00101000110100011111100
32220021222210200011001000001
411001302130011012203330
510344300122204114400
6115010342251444044
74441422325404151
oct501623405064374
986258720131001
1022113110223100
117056132262646
122591803a56624
13c4534650c2b0
145663ccdca228
1528532d023a6a
hex141c9c1468fc

22113110223100 has 144 divisors (see below), whose sum is σ = 51978661000000. Its totient is φ = 8117188485120.

The previous prime is 22113110222993. The next prime is 22113110223107. The reversal of 22113110223100 is 132201131122.

It is a super-2 number, since 2×221131102231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113110223107) 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, 323082082 + ... + 323150518.

Almost surely, 222113110223100 is an apocalyptic number.

22113110223100 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 22113110223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25989330500000).

22113110223100 is an abundant number, since it is smaller than the sum of its proper divisors (29865550776900).

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

22113110223100 is a wasteful number, since it uses less digits than its factorization.

22113110223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69912 (or 69905 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 22113110223100 its reverse (132201131122), we get a palindrome (22245311354222).

The spelling of 22113110223100 in words is "twenty-two trillion, one hundred thirteen billion, one hundred ten million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 199 260 325 398 650 796 995 1249 1300 1990 2498 2587 3980 4975 4996 5174 6245 9950 10348 12490 12935 16237 19900 24980 25870 31225 32474 51740 62450 64675 64948 68437 81185 124900 129350 136874 162370 248551 258700 273748 324740 342185 405925 497102 684370 811850 889681 994204 1242755 1368740 1623700 1710925 1779362 2485510 3231163 3421850 3558724 4448405 4971020 6213775 6462326 6843700 8896810 12427550 12924652 13618963 16155815 17793620 22242025 24855100 27237926 32311630 44484050 54475852 64623260 68094815 80779075 85477813 88968100 136189630 161558150 170955626 177046519 272379260 323116300 340474075 341911252 354093038 427389065 680948150 708186076 854778130 885232595 1111211569 1361896300 1709556260 1770465190 2136945325 2222423138 3540930380 4273890650 4426162975 4444846276 5556057845 8547781300 8852325950 11112115690 17010084787 17704651900 22224231380 27780289225 34020169574 55560578450 68040339148 85050423935 111121156900 170100847870 221131102231 340201695740 425252119675 442262204462 850504239350 884524408924 1105655511155 1701008478700 2211311022310 4422622044620 5528277555775 11056555111550 22113110223100