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13143320120 = 2357380312343
BaseRepresentation
bin11000011110110011…
…10010011000111000
31020220222110211201002
430033121302120320
5203404142220440
610012110544132
7643463243360
oct141731623070
936828424632
1013143320120
115635074a37
122669808048
131315ca22c8
148c97d59a0
1551dd12115
hex30f672638

13143320120 has 64 divisors (see below), whose sum is σ = 33808734720. Its totient is φ = 4504731264.

The previous prime is 13143320089. The next prime is 13143320131. The reversal of 13143320120 is 2102334131.

13143320120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13143320092 and 13143320101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058669 + ... + 1071011.

It is an arithmetic number, because the mean of its divisors is an integer number (528261480).

Almost surely, 213143320120 is an apocalyptic number.

13143320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13143320120 is an abundant number, since it is smaller than the sum of its proper divisors (20665414600).

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

13143320120 is a wasteful number, since it uses less digits than its factorization.

13143320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16164 (or 16160 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13143320120 its reverse (2102334131), we get a palindrome (15245654251).

The spelling of 13143320120 in words is "thirteen billion, one hundred forty-three million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 3803 7606 12343 15212 19015 24686 26621 30424 38030 49372 53242 61715 76060 86401 98744 106484 123430 133105 152120 172802 212968 246860 266210 345604 432005 493720 532420 691208 864010 1064840 1728020 3456040 46940429 93880858 187761716 234702145 328583003 375523432 469404290 657166006 938808580 1314332012 1642915015 1877617160 2628664024 3285830030 6571660060 13143320120