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13351532342300 = 2252417146399887
BaseRepresentation
bin1100001001001010010101…
…0101111010110000011100
31202021101122020121210002222
43002102211111322300130
53222222414234423200
644221335334404512
72545421263250045
oct302224525726034
952241566553088
1013351532342300
114288397a2a539
1215b7749200738
1375b075b61159
143423091b98cc
15182485ec2d85
hexc24a557ac1c

13351532342300 has 144 divisors (see below), whose sum is σ = 30107033026560. Its totient is φ = 5135342016000.

The previous prime is 13351532342299. The next prime is 13351532342303. The reversal of 13351532342300 is 324323515331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13351532342303) 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, 1350407957 + ... + 1350417843.

It is an arithmetic number, because the mean of its divisors is an integer number (209076618240).

Almost surely, 213351532342300 is an apocalyptic number.

13351532342300 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 13351532342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15053516513280).

13351532342300 is an abundant number, since it is smaller than the sum of its proper divisors (16755500684260).

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

13351532342300 is a wasteful number, since it uses less digits than its factorization.

13351532342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14652 (or 14645 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

Adding to 13351532342300 its reverse (324323515331), we get a palindrome (13675855857631).

The spelling of 13351532342300 in words is "thirteen trillion, three hundred fifty-one billion, five hundred thirty-two million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 71 82 100 142 164 205 284 355 410 710 820 1025 1420 1775 2050 2911 3550 4100 4639 5822 7100 9278 9887 11644 14555 18556 19774 23195 29110 39548 46390 49435 58220 72775 92780 98870 115975 145550 190199 197740 231950 247175 291100 329369 380398 405367 463900 494350 658738 701977 760796 810734 950995 988700 1317476 1403954 1621468 1646845 1901990 2026835 2807908 3293690 3509885 3803980 4053670 4754975 6587380 7019770 8107340 8234225 9509950 10134175 13504129 14039540 16468450 17549425 19019900 20268350 27008258 28781057 32936900 35098850 40536700 45865793 54016516 57562114 67520645 70197700 91731586 115124228 135041290 143905285 183463172 229328965 270082580 287810570 337603225 458657930 575621140 675206450 719526425 917315860 1146644825 1350412900 1439052850 1880497513 2293289650 2878105700 3256471303 3760995026 4586579300 6512942606 7521990052 9402487565 13025885212 16282356515 18804975130 32564713030 37609950260 47012437825 65129426060 81411782575 94024875650 133515323423 162823565150 188049751300 267030646846 325647130300 534061293692 667576617115 1335153234230 2670306468460 3337883085575 6675766171150 13351532342300