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2135221121 = 111910619629
BaseRepresentation
bin111111101000100…
…1110001110000001
312111210210110201202
41333101032032001
513333104033441
6551513110545
7103625036315
oct17721161601
95453713652
102135221121
119a6305260
124b70b8455
132804a0467
14163817b45
15c76c319b
hex7f44e381

2135221121 has 16 divisors (see below), whose sum is σ = 2454494400. Its totient is φ = 1837022400.

The previous prime is 2135221093. The next prime is 2135221147. The reversal of 2135221121 is 1211225312.

It is a cyclic number.

It is not a de Polignac number, because 2135221121 - 210 = 2135220097 is a prime.

It is a super-3 number, since 3×21352211213 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2135221093 and 2135221102.

It is not an unprimeable number, because it can be changed into a prime (2135221171) 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, 216935 + ... + 226563.

It is an arithmetic number, because the mean of its divisors is an integer number (153405900).

Almost surely, 22135221121 is an apocalyptic number.

It is an amenable number.

2135221121 is a deficient number, since it is larger than the sum of its proper divisors (319273279).

2135221121 is a wasteful number, since it uses less digits than its factorization.

2135221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10720.

The product of its digits is 240, while the sum is 20.

The square root of 2135221121 is about 46208.4529171882. The cubic root of 2135221121 is about 1287.6987839739.

Adding to 2135221121 its reverse (1211225312), we get a palindrome (3346446433).

It can be divided in two parts, 21352211 and 21, that multiplied together give a triangular number (448396431 = T29946).

The spelling of 2135221121 in words is "two billion, one hundred thirty-five million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 19 209 1061 9629 11671 20159 105919 182951 221749 2012461 10216369 112380059 194111011 2135221121