Search a number
-
+
2130012122130 = 2325149158837593
BaseRepresentation
bin11110111111101110100…
…111011010110000010010
321112121221012120222000200
4132333232213122300102
5234344231100402010
64310303012000030
7306613454210634
oct36775647326022
97477835528020
102130012122130
1175137334a502
122a4988900016
13125b22ac1659
14751437d2a54
153a616e37cc0
hex1efee9dac12

2130012122130 has 48 divisors (see below), whose sum is σ = 5575199549400. Its totient is φ = 564191126784.

The previous prime is 2130012122107. The next prime is 2130012122131. The reversal of 2130012122130 is 312212100312.

2130012122130 is a `hidden beast` number, since 21 + 300 + 1 + 212 + 2 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1632678284169 + 497333837961 = 1277763^2 + 705219^2 .

It is a super-3 number, since 3×21300121221303 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2130012122131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79405387 + ... + 79432206.

Almost surely, 22130012122130 is an apocalyptic number.

2130012122130 is an abundant number, since it is smaller than the sum of its proper divisors (3445187427270).

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

2130012122130 is a wasteful number, since it uses less digits than its factorization.

2130012122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158837755 (or 158837752 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2130012122130 its reverse (312212100312), we get a palindrome (2442224222442).

The spelling of 2130012122130 in words is "two trillion, one hundred thirty billion, twelve million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6705 13410 158837593 317675186 476512779 794187965 953025558 1429538337 1588375930 2382563895 2859076674 4765127790 7147691685 14295383370 23666801357 47333602714 71000404071 118334006785 142000808142 213001212213 236668013570 355002020355 426002424426 710004040710 1065006061065 2130012122130