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14202132120 = 23325113586397
BaseRepresentation
bin11010011101000001…
…10101011010011000
31100122202211001201100
431032200311122120
5213041221211440
610305132551400
71011641063001
oct151640653230
940582731640
1014202132120
116028808080
122904322560
131454461797
1498a2921a8
15581c5e230
hex34e835698

14202132120 has 96 divisors (see below), whose sum is σ = 50353027920. Its totient is φ = 3442940160.

The previous prime is 14202132089. The next prime is 14202132151. The reversal of 14202132120 is 2123120241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14202132089) and next prime (14202132151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14202132093 and 14202132102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1789239 + ... + 1797158.

Almost surely, 214202132120 is an apocalyptic number.

14202132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14202132120 is an abundant number, since it is smaller than the sum of its proper divisors (36150895800).

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

14202132120 is a wasteful number, since it uses less digits than its factorization.

14202132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586425 (or 3586418 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14202132120 its reverse (2123120241), we get a palindrome (16325252361).

The spelling of 14202132120 in words is "fourteen billion, two hundred two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3586397 7172794 10759191 14345588 17931985 21518382 28691176 32277573 35863970 39450367 43036764 53795955 64555146 71727940 78900734 86073528 107591910 118351101 129110292 143455880 157801468 161387865 197251835 215183820 236702202 258220584 315602936 322775730 355053303 394503670 430367640 473404404 591755505 645551460 710106606 789007340 946808808 1183511010 1291102920 1420213212 1578014680 1775266515 2367022020 2840426424 3550533030 4734044040 7101066060 14202132120