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2130211434 = 231337838893
BaseRepresentation
bin111111011111000…
…0111001001101010
312111110100221201210
41332332013021222
513330313231214
6551213453550
7103534332651
oct17676071152
95443327653
102130211434
119a34a341a
124b54a12b6
1327c438150
14162cb2198
15c7033b59
hex7ef8726a

2130211434 has 64 divisors (see below), whose sum is σ = 4769460864. Its totient is φ = 629980416.

The previous prime is 2130211427. The next prime is 2130211441. The reversal of 2130211434 is 4341120312.

It is an interprime number because it is at equal distance from previous prime (2130211427) and next prime (2130211441).

It is a self number, because there is not a number n which added to its sum of digits gives 2130211434.

It is an unprimeable number.

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, 235092 + ... + 243984.

It is an arithmetic number, because the mean of its divisors is an integer number (74522826).

Almost surely, 22130211434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130211434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384730432).

2130211434 is an abundant number, since it is smaller than the sum of its proper divisors (2639249430).

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

2130211434 is a wasteful number, since it uses less digits than its factorization.

2130211434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9031.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2130211434 is about 46154.2136104603. The cubic root of 2130211434 is about 1286.6909227741.

Adding to 2130211434 its reverse (4341120312), we get a palindrome (6471331746).

The spelling of 2130211434 in words is "two billion, one hundred thirty million, two hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 37 39 74 78 83 111 166 222 249 481 498 962 1079 1443 2158 2886 3071 3237 6142 6474 8893 9213 17786 18426 26679 39923 53358 79846 115609 119769 231218 239538 329041 346827 658082 693654 738119 987123 1476238 1974246 2214357 4277533 4428714 8555066 9595547 12832599 19191094 25665198 27310403 28786641 54620806 57573282 81931209 163862418 355035239 710070478 1065105717 2130211434