Search a number
-
+
113210133320100 = 223521913097763781
BaseRepresentation
bin11001101111011011001001…
…110010000001000110100100
3112211211210010211201201222110
4121233123021302001012210
5104314313323112220400
61040440003421401020
732563106432522145
oct3157331162010644
9484753124651873
10113210133320100
1133088169971483
1210844a70709170
134b2289261970b
141dd5584a63acc
15d14cc6d20e50
hex66f6c9c811a4

113210133320100 has 144 divisors (see below), whose sum is σ = 329285390386176. Its totient is φ = 30029869056000.

The previous prime is 113210133320021. The next prime is 113210133320113. The reversal of 113210133320100 is 1023331012311.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774950210 + ... + 1775013990.

It is an arithmetic number, because the mean of its divisors is an integer number (2286704099904).

Almost surely, 2113210133320100 is an apocalyptic number.

113210133320100 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 113210133320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164642695193088).

113210133320100 is an abundant number, since it is smaller than the sum of its proper divisors (216075257066076).

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

113210133320100 is a wasteful number, since it uses less digits than its factorization.

113210133320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94966 (or 94959 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113210133320100 its reverse (1023331012311), we get a palindrome (114233464332411).

The spelling of 113210133320100 in words is "one hundred thirteen trillion, two hundred ten billion, one hundred thirty-three million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 300 382 573 764 955 1146 1910 2292 2865 3820 4775 5730 9550 11460 14325 19100 28650 30977 57300 61954 63781 92931 123908 127562 154885 185862 191343 255124 309770 318905 371724 382686 464655 619540 637810 765372 774425 929310 956715 1275620 1548850 1594525 1858620 1913430 2323275 3097700 3189050 3826860 4646550 4783575 5916607 6378100 9293100 9567150 11833214 12182171 17749821 19134300 23666428 24364342 29583035 35499642 36546513 48728684 59166070 60910855 70999284 73093026 88749105 118332140 121821710 146186052 147915175 177498210 182732565 243643420 295830350 304554275 354996420 365465130 443745525 591660700 609108550 730930260 887491050 913662825 1218217100 1774982100 1827325650 1975744037 3654651300 3951488074 5927232111 7902976148 9878720185 11854464222 19757440370 23708928444 29636160555 39514880740 49393600925 59272321110 98787201850 118544642220 148180802775 197574403700 296361605550 377367111067 592723211100 754734222134 1132101333201 1509468444268 1886835555335 2264202666402 3773671110670 4528405332804 5660506666005 7547342221340 9434177776675 11321013332010 18868355553350 22642026664020 28302533330025 37736711106700 56605066660050 113210133320100