Search a number
-
+
1221121341 = 3211311033863
BaseRepresentation
bin100100011001000…
…1101010100111101
310011002202101120100
41020302031110331
510000101340331
6321100511313
742155234346
oct11062152475
93132671510
101221121341
115773225a0
122a0b4b539
13165cab10b
14b826b0cd
157230dae6
hex48c8d53d

1221121341 has 48 divisors (see below), whose sum is σ = 2006065152. Its totient is φ = 709063200.

The previous prime is 1221121337. The next prime is 1221121367. The reversal of 1221121341 is 1431211221.

It is not a de Polignac number, because 1221121341 - 22 = 1221121337 is a prime.

It is a super-2 number, since 2×12211213412 = 2982274658891276562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221121331) 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, 314176 + ... + 318038.

It is an arithmetic number, because the mean of its divisors is an integer number (41793024).

Almost surely, 21221121341 is an apocalyptic number.

1221121341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1221121341 is a deficient number, since it is larger than the sum of its proper divisors (784943811).

1221121341 is a wasteful number, since it uses less digits than its factorization.

1221121341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4011 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1221121341 is about 34944.5466560950. The cubic root of 1221121341 is about 1068.8570031779.

Adding to 1221121341 its reverse (1431211221), we get a palindrome (2652332562).

The spelling of 1221121341 in words is "one billion, two hundred twenty-one million, one hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 3 9 11 31 33 93 99 103 279 309 341 927 1023 1133 3069 3193 3399 3863 9579 10197 11589 28737 34767 35123 42493 105369 119753 127479 316107 359259 382437 397889 1077777 1193667 1317283 3581001 3951849 4376779 11855547 12334559 13130337 37003677 39391011 111011031 135680149 407040447 1221121341