Search a number
-
+
2130212130101 = 114012251214541
BaseRepresentation
bin11110111111111010100…
…010011000110100110101
321112122110010221102101022
4132333322202120310311
5234400133301130401
64310334514510525
7306621433230356
oct36777242306465
97478403842338
102130212130101
11751466238450
122a4a23895445
13125b5537c473
14751621b7d2d
153a62979471b
hex1effa898d35

2130212130101 has 16 divisors (see below), whose sum is σ = 2330708769216. Its totient is φ = 1930860000000.

The previous prime is 2130212130091. The next prime is 2130212130103. The reversal of 2130212130101 is 1010312120312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2130212130101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2130212130101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130212130103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9821891 + ... + 10036431.

It is an arithmetic number, because the mean of its divisors is an integer number (145669298076).

Almost surely, 22130212130101 is an apocalyptic number.

It is an amenable number.

2130212130101 is a deficient number, since it is larger than the sum of its proper divisors (200496639115).

2130212130101 is a wasteful number, since it uses less digits than its factorization.

2130212130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217204.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2130212130101 its reverse (1010312120312), we get a palindrome (3140524250413).

The spelling of 2130212130101 in words is "two trillion, one hundred thirty billion, two hundred twelve million, one hundred thirty thousand, one hundred one".

Divisors: 1 11 401 2251 4411 24761 214541 902651 2359951 9929161 86030941 482931791 946340351 5312249701 193655648191 2130212130101