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1301203020 = 2235132636343
BaseRepresentation
bin100110110001110…
…1100100001001100
310100200102221222110
41031203230201030
510131101444040
6333041144020
744150020545
oct11543544114
93320387873
101301203020
1160854a0a7
1230392b010
13179769720
14c4b554cc
157937b980
hex4d8ec84c

1301203020 has 96 divisors (see below), whose sum is σ = 3939167232. Its totient is φ = 319027968.

The previous prime is 1301203009. The next prime is 1301203031. The reversal of 1301203020 is 203021031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1301203009) and next prime (1301203031).

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 = 1301202987 and 1301203005.

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, 201969 + ... + 208311.

It is an arithmetic number, because the mean of its divisors is an integer number (41032992).

Almost surely, 21301203020 is an apocalyptic number.

1301203020 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 1301203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969583616).

1301203020 is an abundant number, since it is smaller than the sum of its proper divisors (2637964212).

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

1301203020 is a wasteful number, since it uses less digits than its factorization.

1301203020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631 (or 6629 counting only the distinct ones).

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

The square root of 1301203020 is about 36072.1917825906. The cubic root of 1301203020 is about 1091.7294375913.

Adding to 1301203020 its reverse (203021031), we get a palindrome (1504224051).

The spelling of 1301203020 in words is "one billion, three hundred one million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 263 390 526 780 789 1052 1315 1578 2630 3156 3419 3945 5260 6343 6838 7890 10257 12686 13676 15780 17095 19029 20514 25372 31715 34190 38058 41028 51285 63430 68380 76116 82459 95145 102570 126860 164918 190290 205140 247377 329836 380580 412295 494754 824590 989508 1236885 1649180 1668209 2473770 3336418 4947540 5004627 6672836 8341045 10009254 16682090 20018508 21686717 25023135 33364180 43373434 50046270 65060151 86746868 100092540 108433585 130120302 216867170 260240604 325300755 433734340 650601510 1301203020