Search a number
-
+
1103121320121 = 322337233711551
BaseRepresentation
bin10000000011010111001…
…001111000100010111001
310220110100102101020222200
4100003113021320202321
5121033143024220441
62202433354140413
7142461242340132
oct20032711704271
93813312336880
101103121320121
11395916254aa7
12159961121709
1380040659562
143b569c50c89
151da64a0b7b6
hex100d72788b9

1103121320121 has 72 divisors (see below), whose sum is σ = 1714046390784. Its totient is φ = 682337779200.

The previous prime is 1103121320117. The next prime is 1103121320159. The reversal of 1103121320121 is 1210231213011.

1103121320121 is a `hidden beast` number, since 1 + 10 + 312 + 1 + 320 + 1 + 21 = 666.

It is not a de Polignac number, because 1103121320121 - 22 = 1103121320117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1103121320094 and 1103121320103.

It is not an unprimeable number, because it can be changed into a prime (1103121320921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95494296 + ... + 95505846.

It is an arithmetic number, because the mean of its divisors is an integer number (23806199872).

Almost surely, 21103121320121 is an apocalyptic number.

It is an amenable number.

1103121320121 is a deficient number, since it is larger than the sum of its proper divisors (610925070663).

1103121320121 is a wasteful number, since it uses less digits than its factorization.

1103121320121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11991 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1103121320121 its reverse (1210231213011), we get a palindrome (2313352533132).

The spelling of 1103121320121 in words is "one trillion, one hundred three billion, one hundred twenty-one million, three hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 23 37 69 111 207 333 337 851 1011 1369 2553 3033 4107 7659 7751 11551 12321 12469 23253 31487 34653 37407 69759 94461 103959 112221 265673 283383 286787 427387 461353 797019 860361 1282161 1384059 2391057 2581083 3846483 3892687 4152177 9829901 10611119 11678061 15813319 29489703 31833357 35034183 47439957 88469109 89531801 95500071 142319871 144029419 268595403 363706337 432088257 805786209 1091119011 1296264771 3273357033 3312676637 5329088503 9938029911 15987265509 29814089733 47961796527 122569035569 367707106707 1103121320121