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2030210312 = 2313173533253
BaseRepresentation
bin111100100000010…
…1000110100001000
312020111012100222112
41321000220310020
513124213212222
6533242241452
7101211334334
oct17100506410
95214170875
102030210312
11952001069
12487ab6288
132647c3ca0
141538c07c4
15bd37dbe2
hex79028d08

2030210312 has 64 divisors (see below), whose sum is σ = 4354242480. Its totient is φ = 879132672.

The previous prime is 2030210311. The next prime is 2030210327. The reversal of 2030210312 is 2130120302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1524590116 + 505620196 = 39046^2 + 22486^2 .

It is a super-2 number, since 2×20302103122 = 8243507821902274688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2030210311) 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 15 ways as a sum of consecutive naturals, for example, 622478 + ... + 625730.

Almost surely, 22030210312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177121240).

2030210312 is an abundant number, since it is smaller than the sum of its proper divisors (2324032168).

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

2030210312 is a wasteful number, since it uses less digits than its factorization.

2030210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2030210312 is about 45057.8551642219. The cubic root of 2030210312 is about 1266.2331420682.

Adding to 2030210312 its reverse (2130120302), we get a palindrome (4160330614).

The spelling of 2030210312 in words is "two billion, thirty million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 353 442 706 884 1412 1768 2824 3253 4589 6001 6506 9178 12002 13012 18356 24004 26024 36712 42289 48008 55301 78013 84578 110602 156026 169156 221204 312052 338312 442408 624104 718913 1148309 1437826 2296618 2875652 4593236 5751304 9186472 14928017 19521253 29856034 39042506 59712068 78085012 119424136 156170024 253776289 507552578 1015105156 2030210312