Search a number
-
+
2130130013121 = 3211312712561179
BaseRepresentation
bin11110111111110101101…
…001001000101111000001
321112122020102102110001200
4132333311221020233001
5234400001240404441
64310322422451413
7306616415236305
oct36776551105701
97478212373050
102130130013121
11751423950780
122a4a00293b69
13125b4135a636
147515531dd05
153a6224737b6
hex1eff5a48bc1

2130130013121 has 48 divisors (see below), whose sum is σ = 3477631672320. Its totient is φ = 1244732508000.

The previous prime is 2130130013057. The next prime is 2130130013149. The reversal of 2130130013121 is 1213100310312.

2130130013121 is a `hidden beast` number, since 21 + 30 + 1 + 300 + 1 + 312 + 1 = 666.

It is not a de Polignac number, because 2130130013121 - 26 = 2130130013057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2130130013094 and 2130130013103.

It is not an unprimeable number, because it can be changed into a prime (2130130013161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448891 + ... + 2112288.

It is an arithmetic number, because the mean of its divisors is an integer number (72450659840).

Almost surely, 22130130013121 is an apocalyptic number.

It is an amenable number.

2130130013121 is a deficient number, since it is larger than the sum of its proper divisors (1347501659199).

2130130013121 is a wasteful number, since it uses less digits than its factorization.

2130130013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561498 (or 2561495 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2130130013121 its reverse (1213100310312), we get a palindrome (3343230323433).

The spelling of 2130130013121 in words is "two trillion, one hundred thirty billion, one hundred thirty million, thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 11 31 33 93 99 271 279 341 813 1023 2439 2981 3069 8401 8943 25203 26829 75609 92411 277233 831699 2561179 7683537 23050611 28172969 79396549 84518907 238189647 253556721 694079509 714568941 873362039 2082238527 2620086117 6246715581 7634874599 7860258351 21516464779 22904623797 64549394337 68713871391 193648183011 236681112569 710043337707 2130130013121