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213030300 = 223527611663
BaseRepresentation
bin11001011001010…
…01010110011100
3112211212001122010
430230221112130
5414013432200
633045551220
75164504410
oct1454512634
9484761563
10213030300
11aa2828aa
125b415510
133519a242
1420414d40
1513a80150
hexcb2959c

213030300 has 144 divisors (see below), whose sum is σ = 716398592. Its totient is φ = 47865600.

The previous prime is 213030287. The next prime is 213030313. The reversal of 213030300 is 3030312.

It is a happy number.

213030300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213030287) and next prime (213030313).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127269 + ... + 128931.

Almost surely, 2213030300 is an apocalyptic number.

213030300 is a gapful number since it is divisible by the number (20) 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 213030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358199296).

213030300 is an abundant number, since it is smaller than the sum of its proper divisors (503368292).

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

213030300 is a wasteful number, since it uses less digits than its factorization.

213030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 213030300 is about 14595.5575433075. The cubic root of 213030300 is about 597.2375790134.

Adding to 213030300 its sum of digits (12), we get a palindrome (213030312).

Adding to 213030300 its reverse (3030312), we get a palindrome (216060612).

The spelling of 213030300 in words is "two hundred thirteen million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 61 70 75 84 100 105 122 140 150 175 183 210 244 300 305 350 366 420 427 525 610 700 732 854 915 1050 1220 1281 1525 1663 1708 1830 2100 2135 2562 3050 3326 3660 4270 4575 4989 5124 6100 6405 6652 8315 8540 9150 9978 10675 11641 12810 16630 18300 19956 21350 23282 24945 25620 32025 33260 34923 41575 42700 46564 49890 58205 64050 69846 83150 99780 101443 116410 124725 128100 139692 166300 174615 202886 232820 249450 291025 304329 349230 405772 498900 507215 582050 608658 698460 710101 873075 1014430 1164100 1217316 1420202 1521645 1746150 2028860 2130303 2536075 2840404 3043290 3492300 3550505 4260606 5072150 6086580 7101010 7608225 8521212 10144300 10651515 14202020 15216450 17752525 21303030 30432900 35505050 42606060 53257575 71010100 106515150 213030300