Search a number
-
+
2121240429 = 327211437279
BaseRepresentation
bin111111001101111…
…1000111101101101
312110211111011211100
41332123320331231
513321014143204
6550253313313
7103365150300
oct17633707555
95424434740
102121240429
11999426370
124b2495839
1327a616a69
14161a18b37
15c6360a39
hex7e6f8f6d

2121240429 has 36 divisors (see below), whose sum is σ = 3888293760. Its totient is φ = 1101940560.

The previous prime is 2121240397. The next prime is 2121240431. The reversal of 2121240429 is 9240421212.

2121240429 is a `hidden beast` number, since 21 + 212 + 4 + 0 + 429 = 666.

It is not a de Polignac number, because 2121240429 - 25 = 2121240397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121240469) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 213789 + ... + 223490.

It is an arithmetic number, because the mean of its divisors is an integer number (108008160).

Almost surely, 22121240429 is an apocalyptic number.

It is an amenable number.

2121240429 is a deficient number, since it is larger than the sum of its proper divisors (1767053331).

2121240429 is a wasteful number, since it uses less digits than its factorization.

2121240429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437310 (or 437300 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2121240429 is about 46056.9259612493. The cubic root of 2121240429 is about 1284.8821582903.

The spelling of 2121240429 in words is "two billion, one hundred twenty-one million, two hundred forty thousand, four hundred twenty-nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 437279 1311837 3060953 3935511 4810069 9182859 14430207 21426671 27548577 33670483 43290621 64280013 101011449 192840039 235693381 303034347 707080143 2121240429