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201210030 = 232572771153
BaseRepresentation
bin10111111111000…
…11100010101110
3112000121112021100
423333203202232
5403002210110
631544343530
74662154110
oct1377434256
9460545240
10201210030
11a363a08a
1257474ba6
13328bbcb8
141ca193b0
15129e7bc0
hexbfe38ae

201210030 has 96 divisors (see below), whose sum is σ = 600560064. Its totient is φ = 45785088.

The previous prime is 201210013. The next prime is 201210071. The reversal of 201210030 is 30012102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 201209994 and 201210021.

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, 173934 + ... + 175086.

It is an arithmetic number, because the mean of its divisors is an integer number (6255834).

Almost surely, 2201210030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201210030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300280032).

201210030 is an abundant number, since it is smaller than the sum of its proper divisors (399350034).

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

201210030 is a wasteful number, since it uses less digits than its factorization.

201210030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1447 counting only the distinct ones).

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

The square root of 201210030 is about 14184.8521317637. The cubic root of 201210030 is about 585.9805601848.

Adding to 201210030 its reverse (30012102), we get a palindrome (231222132).

The spelling of 201210030 in words is "two hundred one million, two hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 277 315 554 630 831 1153 1385 1662 1939 2306 2493 2770 3459 3878 4155 4986 5765 5817 6918 8071 8310 9695 10377 11530 11634 12465 16142 17295 17451 19390 20754 24213 24930 29085 34590 34902 40355 48426 51885 58170 72639 80710 87255 103770 121065 145278 174510 242130 319381 363195 638762 726390 958143 1596905 1916286 2235667 2874429 3193810 4471334 4790715 5748858 6707001 9581430 11178335 13414002 14372145 20121003 22356670 28744290 33535005 40242006 67070010 100605015 201210030