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113322200121108 = 22351132237328777
BaseRepresentation
bin11001110001000011100001…
…011110111011111100010100
3112212020111101222012002100000
4121301003201132323330110
5104323132331212333413
61041003300002051300
732604154521565416
oct3161034136737424
9485214358162300
10113322200121108
11331207477347a0
1210862727649b30
134b3031207c3a4
141ddab765309b6
15d17b855c4073
hex6710e17bbf14

113322200121108 has 144 divisors (see below), whose sum is σ = 324079462534464. Its totient is φ = 34338890960640.

The previous prime is 113322200121103. The next prime is 113322200121199. The reversal of 113322200121108 is 801121002223311.

It is a happy number.

113322200121108 is a `hidden beast` number, since 1 + 1 + 3 + 322 + 200 + 121 + 10 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113322200121103) 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, 344513616 + ... + 344842392.

It is an arithmetic number, because the mean of its divisors is an integer number (2250551823156).

Almost surely, 2113322200121108 is an apocalyptic number.

113322200121108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113322200121108 is an abundant number, since it is smaller than the sum of its proper divisors (210757262413356).

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

113322200121108 is a wasteful number, since it uses less digits than its factorization.

113322200121108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361044 (or 361030 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 113322200121108 its reverse (801121002223311), we get a palindrome (914443202344419).

The spelling of 113322200121108 in words is "one hundred thirteen trillion, three hundred twenty-two billion, two hundred million, one hundred twenty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 32237 64474 96711 128948 193422 290133 328777 354607 386844 580266 657554 709214 870399 986331 1063821 1160532 1315108 1418428 1740798 1972662 2127642 2611197 2958993 3191463 3481596 3616547 3945324 4255284 5222394 5917986 6382926 7233094 7833591 8876979 9574389 10444788 10849641 11835972 12765852 14466188 15667182 17753958 19148778 21699282 26630937 28723167 31334364 32548923 35507916 38297556 43398564 53261874 57446334 65097846 79892811 86169501 97646769 106523748 114892668 130195692 159785622 172339002 195293538 292940307 319571244 344678004 390587076 585880614 878820921 1171761228 1757641842 3515283684 10598784149 21197568298 31796352447 42395136596 63592704894 95389057341 116586625639 127185409788 190778114682 233173251278 286167172023 349759876917 381556229364 466346502556 572334344046 699519753834 858501516069 1049279630751 1144668688092 1399039507668 1717003032138 2098559261502 2575504548207 3147838892253 3434006064276 4197118523004 5151009096414 6295677784506 9443516676759 10302018192828 12591355569012 18887033353518 28330550030277 37774066707036 56661100060554 113322200121108