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1300202112 = 27311227983
BaseRepresentation
bin100110101111111…
…1000001010000000
310100121120002222210
41031133320022000
510130322431422
6333003502120
744135351466
oct11537701200
93317502883
101300202112
11607a26100
12303527940
131794a8c81
14c4974836
157923010c
hex4d7f8280

1300202112 has 96 divisors (see below), whose sum is σ = 3796309440. Its totient is φ = 393986560.

The previous prime is 1300202107. The next prime is 1300202149. The reversal of 1300202112 is 2112020031.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32473 + ... + 60455.

It is an arithmetic number, because the mean of its divisors is an integer number (39544890).

Almost surely, 21300202112 is an apocalyptic number.

1300202112 is a gapful number since it is divisible by the number (12) 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 1300202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898154720).

1300202112 is an abundant number, since it is smaller than the sum of its proper divisors (2496107328).

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

1300202112 is a wasteful number, since it uses less digits than its factorization.

1300202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28022 (or 27999 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1300202112 is about 36058.3154348619. The cubic root of 1300202112 is about 1091.4494400272.

Adding to 1300202112 its reverse (2112020031), we get a palindrome (3412222143).

The spelling of 1300202112 in words is "one billion, three hundred million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 27983 46464 55966 83949 111932 167898 223864 307813 335796 447728 615626 671592 895456 923439 1231252 1343184 1790912 1846878 2462504 2686368 3385943 3581824 3693756 4925008 5372736 6771886 7387512 9850016 10157829 10745472 13543772 14775024 19700032 20315658 27087544 29550048 39400064 40631316 54175088 59100096 81262632 108350176 118200192 162525264 216700352 325050528 433400704 650101056 1300202112