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2121134532 = 22311101389409
BaseRepresentation
bin111111001101101…
…1111000111000100
312110211021210120020
41332123133013010
513321002301112
6550251135140
7103364226456
oct17633370704
95424253506
102121134532
11999363850
124b24444b0
1327a5aa7ba
141619cc2d6
15c633e48c
hex7e6df1c4

2121134532 has 96 divisors (see below), whose sum is σ = 5480092800. Its totient is φ = 633216000.

The previous prime is 2121134453. The next prime is 2121134563. The reversal of 2121134532 is 2354311212.

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, 5185944 + ... + 5186352.

It is an arithmetic number, because the mean of its divisors is an integer number (57084300).

Almost surely, 22121134532 is an apocalyptic number.

2121134532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121134532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740046400).

2121134532 is an abundant number, since it is smaller than the sum of its proper divisors (3358958268).

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

2121134532 is a wasteful number, since it uses less digits than its factorization.

2121134532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 915 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2121134532 is about 46055.7763152463. The cubic root of 2121134532 is about 1284.8607765509.

Adding to 2121134532 its reverse (2354311212), we get a palindrome (4475445744).

The spelling of 2121134532 in words is "two billion, one hundred twenty-one million, one hundred thirty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 389 404 409 606 778 818 1111 1167 1212 1227 1556 1636 2222 2334 2454 3333 4279 4444 4499 4668 4908 6666 8558 8998 12837 13332 13497 17116 17996 25674 26994 39289 41309 51348 53988 78578 82618 117867 123927 157156 159101 165236 235734 247854 318202 432179 454399 471468 477303 495708 636404 864358 908798 954606 1296537 1363197 1728716 1750111 1817596 1909212 2593074 2726394 3500222 5186148 5250333 5452788 7000444 10500666 16069201 21001332 32138402 48207603 64276804 96415206 176761211 192830412 353522422 530283633 707044844 1060567266 2121134532