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2130301212 = 22313171395779
BaseRepresentation
bin111111011111001…
…1101000100011100
312111110112111212220
41332332131010130
513330324114322
6551215425340
7103535155464
oct17676350434
95443474786
102130301212
119a3554916
124b5525250
1327c469c80
14162cd6ba4
15c705055c
hex7ef9d11c

2130301212 has 96 divisors (see below), whose sum is σ = 5709715200. Its totient is φ = 612375552.

The previous prime is 2130301211. The next prime is 2130301213. The reversal of 2130301212 is 2121030312.

It is an interprime number because it is at equal distance from previous prime (2130301211) and next prime (2130301213).

It is a junction number, because it is equal to n+sod(n) for n = 2130301191 and 2130301200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130301211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365739 + ... + 371517.

It is an arithmetic number, because the mean of its divisors is an integer number (59476200).

Almost surely, 22130301212 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 2130301212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854857600).

2130301212 is an abundant number, since it is smaller than the sum of its proper divisors (3579413988).

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

2130301212 is a wasteful number, since it uses less digits than its factorization.

2130301212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2130301212 is about 46155.1861874698. The cubic root of 2130301212 is about 1286.7089984313.

Adding to 2130301212 its reverse (2121030312), we get a palindrome (4251331524).

The spelling of 2130301212 in words is "two billion, one hundred thirty million, three hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 139 156 204 221 278 417 442 556 663 834 884 1326 1668 1807 2363 2652 3614 4726 5421 5779 7089 7228 9452 10842 11558 14178 17337 21684 23116 28356 30719 34674 61438 69348 75127 92157 98243 122876 150254 184314 196486 225381 294729 300508 368628 392972 450762 589458 803281 901524 1178916 1277159 1606562 2409843 2554318 3213124 3831477 4819686 5108636 7662954 9639372 10442653 13655777 15325908 20885306 27311554 31327959 40967331 41770612 54623108 62655918 81934662 125311836 163869324 177525101 355050202 532575303 710100404 1065150606 2130301212