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1300010220 = 223257222279
BaseRepresentation
bin100110101111100…
…1001010011101100
310100121012100202200
41031133021103230
510130300311340
6332555421500
744133622155
oct11537112354
93317170680
101300010220
11607904a13
12303454890
1317943c822
14c492492c
15791e3330
hex4d7c94ec

1300010220 has 36 divisors (see below), whose sum is σ = 3943364880. Its totient is φ = 346669344.

The previous prime is 1300010197. The next prime is 1300010279. The reversal of 1300010220 is 220100031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 11 ways as a sum of consecutive naturals, for example, 3610960 + ... + 3611319.

Almost surely, 21300010220 is an apocalyptic number.

1300010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300010220 is an abundant number, since it is smaller than the sum of its proper divisors (2643354660).

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

1300010220 is a wasteful number, since it uses less digits than its factorization.

1300010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7222294 (or 7222289 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1300010220 is about 36055.6544802615. The cubic root of 1300010220 is about 1091.3957430627.

Adding to 1300010220 its reverse (220100031), we get a palindrome (1520110251).

It can be divided in two parts, 13000 and 10220, that added together give a triangular number (23220 = T215).

The spelling of 1300010220 in words is "one billion, three hundred million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7222279 14444558 21666837 28889116 36111395 43333674 65000511 72222790 86667348 108334185 130001022 144445580 216668370 260002044 325002555 433336740 650005110 1300010220