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1220131320 = 233519751613
BaseRepresentation
bin100100010111001…
…1011100111111000
310011000220002111220
41020232123213320
54444323200240
6321023352040
742143642112
oct11056334770
93130802456
101220131320
115768067a1
122a0752620
13165a225c5
14b80903b2
15721b55d0
hex48b9b9f8

1220131320 has 64 divisors (see below), whose sum is σ = 3679045920. Its totient is φ = 323710464.

The previous prime is 1220131273. The next prime is 1220131357. The reversal of 1220131320 is 231310221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1220131320.

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, 2167 + ... + 49446.

Almost surely, 21220131320 is an apocalyptic number.

1220131320 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 1220131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839522960).

1220131320 is an abundant number, since it is smaller than the sum of its proper divisors (2458914600).

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

1220131320 is a wasteful number, since it uses less digits than its factorization.

1220131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51824 (or 51820 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1220131320 is about 34930.3781828940. The cubic root of 1220131320 is about 1068.5680673865.

Adding to 1220131320 its reverse (231310221), we get a palindrome (1451441541).

The spelling of 1220131320 in words is "one billion, two hundred twenty million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 591 788 985 1182 1576 1970 2364 2955 3940 4728 5910 7880 11820 23640 51613 103226 154839 206452 258065 309678 412904 516130 619356 774195 1032260 1238712 1548390 2064520 3096780 6193560 10167761 20335522 30503283 40671044 50838805 61006566 81342088 101677610 122013132 152516415 203355220 244026264 305032830 406710440 610065660 1220131320