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1300213220 = 22573979181
BaseRepresentation
bin100110101111111…
…1010110111100100
310100121120200020012
41031133322313210
510130323310340
6333004025352
744135426045
oct11537726744
93317520205
101300213220
11607a33489
12303532258
131794b1047
14c49788cc
1579233565
hex4d7fade4

1300213220 has 48 divisors (see below), whose sum is σ = 2796690288. Its totient is φ = 507617280.

The previous prime is 1300213181. The next prime is 1300213247. The reversal of 1300213220 is 223120031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 178084 + 1300035136 = 422^2 + 36056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1300213195 and 1300213204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137030 + ... + 146210.

It is an arithmetic number, because the mean of its divisors is an integer number (58264381).

Almost surely, 21300213220 is an apocalyptic number.

1300213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300213220 is an abundant number, since it is smaller than the sum of its proper divisors (1496477068).

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

1300213220 is a wasteful number, since it uses less digits than its factorization.

1300213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9358 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1300213220 is about 36058.4694628044. The cubic root of 1300213220 is about 1091.4525482071.

Adding to 1300213220 its reverse (223120031), we get a palindrome (1523333251).

The spelling of 1300213220 in words is "one billion, three hundred million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 97 146 194 292 365 388 485 730 970 1460 1940 7081 9181 14162 18362 28324 35405 36724 45905 70810 91810 141620 183620 670213 890557 1340426 1781114 2680852 3351065 3562228 4452785 6702130 8905570 13404260 17811140 65010661 130021322 260042644 325053305 650106610 1300213220