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2130311013030 = 233513161997301
BaseRepresentation
bin11111000000000000011…
…011100110001010100110
321112122201001000012021000
4133000000123212022212
5234400334104404110
64310352410134130
7306624043560654
oct37000033461246
97478631005230
102130311013030
11751507036682
122a4a50a21346
13125b6c9c1685
1475171397dd4
153a6332c81c0
hex1f0006e62a6

2130311013030 has 128 divisors (see below), whose sum is σ = 5733500889600. Its totient is φ = 562829904000.

The previous prime is 2130311012989. The next prime is 2130311013037. The reversal of 2130311013030 is 303101130312.

It is a happy number.

2130311013030 is a `hidden beast` number, since 21 + 30 + 311 + 0 + 1 + 303 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2130311012994 and 2130311013012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130311013037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21845380 + ... + 21942680.

It is an arithmetic number, because the mean of its divisors is an integer number (44792975700).

Almost surely, 22130311013030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130311013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866750444800).

2130311013030 is an abundant number, since it is smaller than the sum of its proper divisors (3603189876570).

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

2130311013030 is a wasteful number, since it uses less digits than its factorization.

2130311013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98067 (or 98061 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 2130311013030 its reverse (303101130312), we get a palindrome (2433412143342).

The spelling of 2130311013030 in words is "two trillion, one hundred thirty billion, three hundred eleven million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 131 135 262 270 393 619 655 786 1179 1238 1310 1857 1965 2358 3095 3537 3714 3930 5571 5895 6190 7074 9285 11142 11790 16713 17685 18570 27855 33426 35370 55710 81089 83565 97301 162178 167130 194602 243267 291903 405445 486505 486534 583806 729801 810890 875709 973010 1216335 1459515 1459602 1751418 2189403 2432670 2627127 2919030 3649005 4378545 4378806 5254254 7298010 8757090 10947015 12746431 13135635 21894030 25492862 26271270 38239293 60229319 63732155 76478586 114717879 120458638 127464310 180687957 191196465 229435758 301146595 344153637 361375914 382392930 542063871 573589395 602293190 688307274 903439785 1084127742 1147178790 1626191613 1720768185 1806879570 2710319355 3252383226 3441536370 5420638710 7890040789 8130958065 15780081578 16261916130 23670122367 39450203945 47340244734 71010367101 78900407890 118350611835 142020734202 213031101303 236701223670 355051835505 426062202606 710103671010 1065155506515 2130311013030