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2130000030 = 233565911971
BaseRepresentation
bin111111011110101…
…0011100010011110
312111102222012202000
41332331103202132
513330240000110
6551205143130
7103532462424
oct17675234236
95442865660
102130000030
119a3369604
124b53baaa6
1327c392b62
14162c59114
15c6ee11c0
hex7ef5389e

2130000030 has 64 divisors (see below), whose sum is σ = 5689094400. Its totient is φ = 567090720.

The previous prime is 2130000029. The next prime is 2130000043. The reversal of 2130000030 is 300000312.

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 a junction number, because it is equal to n+sod(n) for n = 2129999967 and 2130000021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171945 + ... + 183915.

It is an arithmetic number, because the mean of its divisors is an integer number (88892100).

Almost surely, 22130000030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844547200).

2130000030 is an abundant number, since it is smaller than the sum of its proper divisors (3559094370).

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

2130000030 is a wasteful number, since it uses less digits than its factorization.

2130000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12646 (or 12640 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2130000030 is about 46151.9233618708. The cubic root of 2130000030 is about 1286.6483572643.

Adding to 2130000030 its reverse (300000312), we get a palindrome (2430000342).

The spelling of 2130000030 in words is "two billion, one hundred thirty million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 659 1318 1977 3295 3954 5931 6590 9885 11862 11971 17793 19770 23942 29655 35586 35913 59310 59855 71826 88965 107739 119710 177930 179565 215478 323217 359130 538695 646434 1077390 1616085 3232170 7888889 15777778 23666667 39444445 47333334 71000001 78888890 118333335 142000002 213000003 236666670 355000005 426000006 710000010 1065000015 2130000030