Search a number
-
+
10332023121 = 347173105331
BaseRepresentation
bin10011001111101011…
…00010100101010001
3222200001112011020000
421213311202211101
5132124444214441
64425123040213
7514015514250
oct114765424521
928601464200
1010332023121
114422180992
122004210069
13c8871b064
147002b0797
154070e52b6
hex267d62951

10332023121 has 40 divisors (see below), whose sum is σ = 17741279424. Its totient is φ = 5869830240.

The previous prime is 10332023087. The next prime is 10332023123. The reversal of 10332023121 is 12132023301.

10332023121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10332023121 - 26 = 10332023057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10332023094 and 10332023103.

It is not an unprimeable number, because it can be changed into a prime (10332023123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45426 + ... + 150756.

Almost surely, 210332023121 is an apocalyptic number.

It is an amenable number.

10332023121 is a deficient number, since it is larger than the sum of its proper divisors (7409256303).

10332023121 is a wasteful number, since it uses less digits than its factorization.

10332023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105523 (or 105514 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10332023121 its reverse (12132023301), we get a palindrome (22464046422).

The spelling of 10332023121 in words is "ten billion, three hundred thirty-two million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 173 189 519 567 1211 1557 3633 4671 10899 14013 32697 98091 105331 315993 737317 947979 2211951 2843937 6635853 8531811 18222263 19907559 54666789 59722677 127555841 164000367 382667523 492001101 1148002569 1476003303 3444007707 10332023121