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1300231020 = 22351113914173
BaseRepresentation
bin100110101111111…
…1111001101101100
310100121121120122110
41031133333031230
510130324343040
6333004244020
744135531664
oct11537771554
93317546573
101300231020
11607a458a0
12303540610
131794b918a
14c49811a4
1579238980
hex4d7ff36c

1300231020 has 96 divisors (see below), whose sum is σ = 4000469760. Its totient is φ = 312917760.

The previous prime is 1300231013. The next prime is 1300231039. The reversal of 1300231020 is 201320031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1300230987 and 1300231005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84654 + ... + 98826.

It is an arithmetic number, because the mean of its divisors is an integer number (41671560).

Almost surely, 21300231020 is an apocalyptic number.

1300231020 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 1300231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000234880).

1300231020 is an abundant number, since it is smaller than the sum of its proper divisors (2700238740).

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

1300231020 is a wasteful number, since it uses less digits than its factorization.

1300231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14335 (or 14333 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1300231020 is about 36058.7162833066. The cubic root of 1300231020 is about 1091.4575288688.

Adding to 1300231020 its reverse (201320031), we get a palindrome (1501551051).

The spelling of 1300231020 in words is "one billion, three hundred million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 139 165 220 278 330 417 556 660 695 834 1390 1529 1668 2085 2780 3058 4170 4587 6116 7645 8340 9174 14173 15290 18348 22935 28346 30580 42519 45870 56692 70865 85038 91740 141730 155903 170076 212595 283460 311806 425190 467709 623612 779515 850380 935418 1559030 1870836 1970047 2338545 3118060 3940094 4677090 5910141 7880188 9354180 9850235 11820282 19700470 21670517 23640564 29550705 39400940 43341034 59101410 65011551 86682068 108352585 118202820 130023102 216705170 260046204 325057755 433410340 650115510 1300231020