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1413212500 = 2255731521
BaseRepresentation
bin101010000111011…
…1110100101010100
310122111012122002201
41110032332211110
510343240300000
6352122014244
750010052030
oct12416764524
93574178081
101413212500
116657a3517
12335347384
13196a2661b
14d59911c0
158410496a
hex543be954

1413212500 has 144 divisors (see below), whose sum is σ = 3653766144. Its totient is φ = 468000000.

The previous prime is 1413212491. The next prime is 1413212509. The reversal of 1413212500 is 52123141.

It is an interprime number because it is at equal distance from previous prime (1413212491) and next prime (1413212509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413212509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2712240 + ... + 2712760.

It is an arithmetic number, because the mean of its divisors is an integer number (25373376).

Almost surely, 21413212500 is an apocalyptic number.

1413212500 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 1413212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826883072).

1413212500 is an abundant number, since it is smaller than the sum of its proper divisors (2240553644).

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

1413212500 is an equidigital number, since it uses as much as digits as its factorization.

1413212500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1413212500 is about 37592.7187098778. The cubic root of 1413212500 is about 1122.1971378825.

Adding to 1413212500 its reverse (52123141), we get a palindrome (1465335641).

The spelling of 1413212500 in words is "one billion, four hundred thirteen million, two hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 125 140 155 175 217 250 310 350 434 500 521 620 625 700 775 868 875 1042 1085 1250 1550 1750 2084 2170 2500 2605 3100 3125 3500 3647 3875 4340 4375 5210 5425 6250 7294 7750 8750 10420 10850 12500 13025 14588 15500 16151 17500 18235 19375 21700 21875 26050 27125 32302 36470 38750 43750 52100 54250 64604 65125 72940 77500 80755 87500 91175 96875 108500 113057 130250 135625 161510 182350 193750 226114 260500 271250 323020 325625 364700 387500 403775 452228 455875 542500 565285 651250 678125 807550 911750 1130570 1302500 1356250 1615100 1628125 1823500 2018875 2261140 2279375 2712500 2826425 3256250 4037750 4558750 5652850 6512500 8075500 9117500 10094375 11305700 11396875 14132125 20188750 22793750 28264250 40377500 45587500 50471875 56528500 70660625 100943750 141321250 201887500 282642500 353303125 706606250 1413212500