Search a number
-
+
1034211321 = 34112138117
BaseRepresentation
bin111101101001001…
…100111111111001
32200002001101020000
4331221030333321
54104224230241
6250342423213
734425436233
oct7551147771
92602041200
101034211321
11490870300
1224a431b09
13136357c80
149b4d5253
1560bdceb6
hex3da4cff9

1034211321 has 60 divisors (see below), whose sum is σ = 1829001636. Its totient is φ = 578508480.

The previous prime is 1034211301. The next prime is 1034211323. The reversal of 1034211321 is 1231124301.

1034211321 is a `hidden beast` number, since 1 + 0 + 342 + 1 + 1 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 559842921 + 474368400 = 23661^2 + 21780^2 .

It is not a de Polignac number, because 1034211321 - 25 = 1034211289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1034211294 and 1034211303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034211323) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 123355 + ... + 131471.

Almost surely, 21034211321 is an apocalyptic number.

1034211321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1034211321 is a deficient number, since it is larger than the sum of its proper divisors (794790315).

1034211321 is a wasteful number, since it uses less digits than its factorization.

1034211321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164 (or 8144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1034211321 is about 32159.1560990023. The cubic root of 1034211321 is about 1011.2761443102.

Adding to 1034211321 its reverse (1231124301), we get a palindrome (2265335622).

The spelling of 1034211321 in words is "one billion, thirty-four million, two hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 121 143 297 351 363 429 891 1053 1089 1287 1573 3267 3861 4719 8117 9801 11583 14157 24351 42471 73053 89287 105521 127413 219159 267861 316563 657477 803583 949689 982157 1160731 2410749 2849067 2946471 3482193 7232247 8547201 8839413 10446579 12768041 26518239 31339737 38304123 79554717 94019211 114912369 344737107 1034211321