Search a number
-
+
10332001132011 = 37131013598081
BaseRepresentation
bin1001011001011001101101…
…0000011101110111101011
31100120201200220221020000000
42112112123100131313223
52323234414242211021
633550242241314043
72114314422403626
oct226263320356753
940521626836000
1010332001132011
113323860314459
1211aa4b2335923
1359c3c3b018b0
1427a10038adbd
1512db5bc63b26
hex9659b41ddeb

10332001132011 has 64 divisors (see below), whose sum is σ = 16852840394880. Its totient is φ = 6295200768000.

The previous prime is 10332001131989. The next prime is 10332001132027. The reversal of 10332001132011 is 11023110023301.

10332001132011 is a `hidden beast` number, since 1 + 0 + 3 + 320 + 0 + 11 + 320 + 11 = 666.

It is not a de Polignac number, because 10332001132011 - 230 = 10330927390187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10332001132091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1072491 + ... + 4670571.

It is an arithmetic number, because the mean of its divisors is an integer number (263325631170).

Almost surely, 210332001132011 is an apocalyptic number.

10332001132011 is a deficient number, since it is larger than the sum of its proper divisors (6520839262869).

10332001132011 is an equidigital number, since it uses as much as digits as its factorization.

10332001132011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598216 (or 3598198 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10332001132011 its reverse (11023110023301), we get a palindrome (21355111155312).

The spelling of 10332001132011 in words is "ten trillion, three hundred thirty-two billion, one million, one hundred thirty-two thousand, eleven".

Divisors: 1 3 9 13 27 39 81 101 117 243 303 351 729 909 1053 1313 2187 2727 3159 3939 8181 9477 11817 24543 28431 35451 73629 106353 220887 319059 957177 2871531 3598081 10794243 32382729 46775053 97148187 140325159 291444561 363406181 420975477 874333683 1090218543 1262926431 2623001049 3270655629 3788779293 4724280353 7869003147 9811966887 11366337879 14172841059 29435900661 34099013637 42518523177 88307701983 102297040911 127555569531 264923105949 382666708593 794769317847 1148000125779 3444000377337 10332001132011