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13111434223300 = 22527592801113341
BaseRepresentation
bin1011111011001011111001…
…1000010001111011000100
31201102102220101122121011001
42332302332120101323010
53204304204130121200
643515150522423044
72522161364023030
oct276627630217304
951372811577131
1013111434223300
1141a5589894016
121579100961a84
1374153135715a
1433484d8a91c0
1517b0d263476a
hexbecbe611ec4

13111434223300 has 144 divisors (see below), whose sum is σ = 33079579021440. Its totient is φ = 4417539840000.

The previous prime is 13111434223291. The next prime is 13111434223331. The reversal of 13111434223300 is 332243411131.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 115624630 + ... + 115737970.

It is an arithmetic number, because the mean of its divisors is an integer number (229719298760).

Almost surely, 213111434223300 is an apocalyptic number.

13111434223300 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 13111434223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539789510720).

13111434223300 is an abundant number, since it is smaller than the sum of its proper divisors (19968144798140).

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

13111434223300 is a wasteful number, since it uses less digits than its factorization.

13111434223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116222 (or 116215 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 13111434223300 its reverse (332243411131), we get a palindrome (13443677634431).

The spelling of 13111434223300 in words is "thirteen trillion, one hundred eleven billion, four hundred thirty-four million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 350 413 590 700 826 1180 1475 1652 2065 2801 2950 4130 5602 5900 8260 10325 11204 14005 19607 20650 28010 39214 41300 56020 70025 78428 98035 113341 140050 165259 196070 226682 280100 330518 392140 453364 490175 566705 661036 793387 826295 980350 1133410 1156813 1586774 1652590 1960700 2266820 2313626 2833525 3173548 3305180 3966935 4131475 4627252 5667050 5784065 6687119 7933870 8262950 11334100 11568130 13374238 15867740 16525900 19834675 23136260 26748476 28920325 33435595 39669350 46809833 57840650 66871190 79338700 93619666 115681300 133742380 167177975 187239332 234049165 317468141 334355950 468098330 634936282 668711900 936196660 1170245825 1269872564 1587340705 2222276987 2340491650 3174681410 4444553974 4680983300 6349362820 7936703525 8889107948 11111384935 15873407050 18730620319 22222769870 31746814100 37461240638 44445539740 55556924675 74922481276 93653101595 111113849350 131114342233 187306203190 222227698700 262228684466 374612406380 468265507975 524457368932 655571711165 936531015950 1311143422330 1873062031900 2622286844660 3277858555825 6555717111650 13111434223300