Search a number
-
+
103021100331 = 33137239125269
BaseRepresentation
bin101111111110010001…
…0010011110100101011
3100211220201101010210120
41133330202103310223
53141441400202311
6115154403414323
710304646622122
oct1377442236453
9324821333716
10103021100331
113a7667a8536
1217b716843a3
13993a6a1186
144db439aab9
152a2e59a706
hex17fc893d2b

103021100331 has 32 divisors (see below), whose sum is σ = 146235187200. Its totient is φ = 64397773440.

The previous prime is 103021100327. The next prime is 103021100339. The reversal of 103021100331 is 133001120301.

It is not a de Polignac number, because 103021100331 - 22 = 103021100327 is a prime.

It is a super-2 number, since 2×1030211003312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103021100331.

It is not an unprimeable number, because it can be changed into a prime (103021100339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759765 + ... + 885033.

It is an arithmetic number, because the mean of its divisors is an integer number (4569849600).

Almost surely, 2103021100331 is an apocalyptic number.

103021100331 is a deficient number, since it is larger than the sum of its proper divisors (43214086869).

103021100331 is a wasteful number, since it uses less digits than its factorization.

103021100331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125579.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103021100331 its reverse (133001120301), we get a palindrome (236022220632).

The spelling of 103021100331 in words is "one hundred three billion, twenty-one million, one hundred thousand, three hundred thirty-one".

Divisors: 1 3 31 37 93 111 239 717 1147 3441 7409 8843 22227 26529 125269 274133 375807 822399 3883339 4634953 11650017 13904859 29939291 89817873 143683543 431050629 928118021 1107753767 2784354063 3323261301 34340366777 103021100331