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210020130 = 232523711429
BaseRepresentation
bin11001000010010…
…10011100100010
3112122012010110100
430201022130202
5412231121010
632501243230
75130066405
oct1441123442
9478163410
10210020130
11a8607261
125a403516
1334685088
141dc6dd3c
15136882c0
hexc84a722

210020130 has 96 divisors (see below), whose sum is σ = 578223360. Its totient is φ = 52778880.

The previous prime is 210020101. The next prime is 210020137. The reversal of 210020130 is 31020012.

It is a happy number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (210020137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146256 + ... + 147684.

It is an arithmetic number, because the mean of its divisors is an integer number (6023160).

Almost surely, 2210020130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210020130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289111680).

210020130 is an abundant number, since it is smaller than the sum of its proper divisors (368203230).

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

210020130 is a wasteful number, since it uses less digits than its factorization.

210020130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1533 counting only the distinct ones).

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

The square root of 210020130 is about 14492.0712805313. The cubic root of 210020130 is about 594.4111869154.

Adding to 210020130 its reverse (31020012), we get a palindrome (241040142).

The spelling of 210020130 in words is "two hundred ten million, twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 71 90 115 138 142 207 213 230 345 355 414 426 639 690 710 1035 1065 1278 1429 1633 2070 2130 2858 3195 3266 4287 4899 6390 7145 8165 8574 9798 12861 14290 14697 16330 21435 24495 25722 29394 32867 42870 48990 64305 65734 73485 98601 101459 128610 146970 164335 197202 202918 295803 304377 328670 493005 507295 591606 608754 913131 986010 1014590 1479015 1521885 1826262 2333557 2958030 3043770 4565655 4667114 7000671 9131310 11667785 14001342 21002013 23335570 35003355 42004026 70006710 105010065 210020130