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113320310033100 = 223525949431295221
BaseRepresentation
bin11001110001000001110000…
…110100110100101011001100
3112212020022112020122200000110
4121301001300310310223030
5104323114443332024400
61041002344243000020
732604056631240642
oct3161016064645314
9485208466580013
10113320310033100
113311a967839695
121086229a669010
134b300a0609311
141ddaa374c7192
15d17ac46c2e50
hex671070d34acc

113320310033100 has 144 divisors (see below), whose sum is σ = 333498319741440. Its totient is φ = 29700534393600.

The previous prime is 113320310033069. The next prime is 113320310033101. The reversal of 113320310033100 is 1330013023311.

It is a super-2 number, since 2×1133203100331002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113320310033101) 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, 86843490 + ... + 88138710.

It is an arithmetic number, because the mean of its divisors is an integer number (2315960553760).

Almost surely, 2113320310033100 is an apocalyptic number.

113320310033100 is a gapful number since it is divisible by the number (10) 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 113320310033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166749159870720).

113320310033100 is an abundant number, since it is smaller than the sum of its proper divisors (220178009708340).

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

113320310033100 is a wasteful number, since it uses less digits than its factorization.

113320310033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300240 (or 1300233 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 113320310033100 its reverse (1330013023311), we get a palindrome (114650323056411).

The spelling of 113320310033100 in words is "one hundred thirteen trillion, three hundred twenty billion, three hundred ten million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1475 1770 2950 3540 4425 4943 5900 8850 9886 14829 17700 19772 24715 29658 49430 59316 74145 98860 123575 148290 247150 291637 296580 370725 494300 583274 741450 874911 1166548 1295221 1458185 1482900 1749822 2590442 2916370 3499644 3885663 4374555 5180884 5832740 6476105 7290925 7771326 8749110 12952210 14581850 15542652 17498220 19428315 21872775 25904420 29163700 32380525 38856630 43745550 64761050 76418039 77713260 87491100 97141575 129522100 152836078 194283150 229254117 305672156 382090195 388566300 458508234 764180390 917016468 1146270585 1528360780 1910450975 2292541170 3820901950 4585082340 5731352925 6402277403 7641803900 11462705850 12804554806 19206832209 22925411700 25609109612 32011387015 38413664418 64022774030 76827328836 96034161045 128045548060 160056935075 192068322090 320113870150 377734366777 384136644180 480170805225 640227740300 755468733554 960341610450 1133203100331 1510937467108 1888671833885 1920683220900 2266406200662 3777343667770 4532812401324 5666015501655 7554687335540 9443359169425 11332031003310 18886718338850 22664062006620 28330077508275 37773436677700 56660155016550 113320310033100