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11401352120 = 235478968141
BaseRepresentation
bin10101001111001001…
…01101001110111000
31002102120122200211202
422213210231032320
5141322221231440
65123202313332
7552351615434
oct124744551670
932376580752
1011401352120
114920847664
122262358848
1310c9120502
147a23079c4
1546ae1d615
hex2a792d3b8

11401352120 has 64 divisors (see below), whose sum is σ = 26493609600. Its totient is φ = 4413291520.

The previous prime is 11401352101. The next prime is 11401352129. The reversal of 11401352120 is 2125310411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11401352092 and 11401352101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401352129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133250 + ... + 201390.

It is an arithmetic number, because the mean of its divisors is an integer number (413962650).

Almost surely, 211401352120 is an apocalyptic number.

11401352120 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 11401352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13246804800).

11401352120 is an abundant number, since it is smaller than the sum of its proper divisors (15092257480).

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

11401352120 is a wasteful number, since it uses less digits than its factorization.

11401352120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68288 (or 68284 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11401352120 its reverse (2125310411), we get a palindrome (13526662531).

The spelling of 11401352120 in words is "eleven billion, four hundred one million, three hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 89 94 178 188 235 356 376 445 470 712 890 940 1780 1880 3560 4183 8366 16732 20915 33464 41830 68141 83660 136282 167320 272564 340705 545128 681410 1362820 2725640 3202627 6064549 6405254 12129098 12810508 16013135 24258196 25621016 30322745 32026270 48516392 60645490 64052540 121290980 128105080 242581960 285033803 570067606 1140135212 1425169015 2280270424 2850338030 5700676060 11401352120