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20130002310 = 23511467130621
BaseRepresentation
bin10010101111110101…
…110111010110000110
31220221220011001220010
4102233311313112012
5312211240033220
613125251451050
71311561124245
oct225765672606
956856131803
1020130002310
11859a952750
123a995b6a86
131b8a5c4492
14d8d68695c
157cc39a1e0
hex4afd77586

20130002310 has 64 divisors (see below), whose sum is σ = 52817266944. Its totient is φ = 4869513600.

The previous prime is 20130002281. The next prime is 20130002317. The reversal of 20130002310 is 1320003102.

It is a happy number.

It is a super-2 number, since 2×201300023102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130002317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88800 + ... + 219420.

It is an arithmetic number, because the mean of its divisors is an integer number (825269796).

Almost surely, 220130002310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130002310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26408633472).

20130002310 is an abundant number, since it is smaller than the sum of its proper divisors (32687264634).

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

20130002310 is a wasteful number, since it uses less digits than its factorization.

20130002310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131109.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20130002310 its reverse (1320003102), we get a palindrome (21450005412).

The spelling of 20130002310 in words is "twenty billion, one hundred thirty million, two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 467 934 1401 2335 2802 4670 5137 7005 10274 14010 15411 25685 30822 51370 77055 130621 154110 261242 391863 653105 783726 1306210 1436831 1959315 2873662 3918630 4310493 7184155 8620986 14368310 21552465 43104930 61000007 122000014 183000021 305000035 366000042 610000070 671000077 915000105 1342000154 1830000210 2013000231 3355000385 4026000462 6710000770 10065001155 20130002310