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121100300131300 = 225271071643398389
BaseRepresentation
bin11011100010001111011100…
…010111110001101111100100
3120212210002001010121001102021
4123202033130113301233210
5111333101403313200200
61105320413155152524
734336131221036110
oct3342173427615744
9525702033531367
10121100300131300
113564a3923892a6
12116ba0715a5744
13527592b44a719
1421c9400342740
15e0016b63e41a
hex6e23dc5f1be4

121100300131300 has 144 divisors (see below), whose sum is σ = 303157082954880. Its totient is φ = 41129143511040.

The previous prime is 121100300131259. The next prime is 121100300131319. The reversal of 121100300131300 is 3131003001121.

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, 1230782506 + ... + 1230880894.

It is an arithmetic number, because the mean of its divisors is an integer number (2105257520520).

Almost surely, 2121100300131300 is an apocalyptic number.

121100300131300 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 121100300131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151578541477440).

121100300131300 is an abundant number, since it is smaller than the sum of its proper divisors (182056782823580).

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

121100300131300 is a wasteful number, since it uses less digits than its factorization.

121100300131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114950 (or 114943 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 121100300131300 its reverse (3131003001121), we get a palindrome (124231303132421).

The spelling of 121100300131300 in words is "one hundred twenty-one trillion, one hundred billion, three hundred million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 214 350 428 535 700 749 1070 1498 2140 2675 2996 3745 5350 7490 10700 14980 16433 18725 32866 37450 65732 74900 82165 98389 115031 164330 196778 230062 328660 393556 410825 460124 491945 575155 688723 821650 983890 1150310 1377446 1643300 1758331 1967780 2300620 2459725 2754892 2875775 3443615 3516662 4919450 5751550 6887230 7033324 8791655 9838900 10527623 11503100 12308317 13774460 17218075 17583310 21055246 24616634 34436150 35166620 42110492 43958275 49233268 52638115 61541585 68872300 73693361 87916550 105276230 123083170 147386722 175833100 210552460 246166340 263190575 294773444 307707925 368466805 526381150 615415850 736933610 1052762300 1230831700 1473867220 1616826437 1842334025 3233652874 3684668050 6467305748 7369336100 8084132185 11317785059 16168264370 22635570118 32336528740 40420660925 45271140236 56588925295 80841321850 113177850590 161682643700 173000428759 226355701180 282944626475 346000857518 565889252950 692001715036 865002143795 1131778505900 1211003001313 1730004287590 2422006002626 3460008575180 4325010718975 4844012005252 6055015006565 8650021437950 12110030013130 17300042875900 24220060026260 30275075032825 60550150065650 121100300131300