Search a number
-
+
103203011034 = 23316733593407
BaseRepresentation
bin110000000011101100…
…0001111100111011010
3100212101101200011101000
41200013120033213122
53142324432323114
6115224422405430
710312316056044
oct1400730174732
9325341604330
10103203011034
113a84a455762
1218002590876
139969293946
144dd05d0a94
152a4052ee09
hex180760f9da

103203011034 has 64 divisors (see below), whose sum is σ = 230849740800. Its totient is φ = 34174795824.

The previous prime is 103203011017. The next prime is 103203011047. The reversal of 103203011034 is 430110302301.

103203011034 is a `hidden beast` number, since 1 + 0 + 320 + 301 + 10 + 34 = 666.

It is a super-2 number, since 2×1032030110342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103203010998 and 103203011016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30289759 + ... + 30293165.

It is an arithmetic number, because the mean of its divisors is an integer number (3607027200).

Almost surely, 2103203011034 is an apocalyptic number.

103203011034 is an abundant number, since it is smaller than the sum of its proper divisors (127646729766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103203011034 is a wasteful number, since it uses less digits than its factorization.

103203011034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944 (or 6938 counting only the distinct ones).

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

Adding to 103203011034 its reverse (430110302301), we get a palindrome (533313313335).

The spelling of 103203011034 in words is "one hundred three billion, two hundred three million, eleven thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 167 334 501 1002 1503 3006 3359 3407 4509 6718 6814 9018 10077 10221 20154 20442 30231 30663 60462 61326 90693 91989 181386 183978 560953 568969 1121906 1137938 1682859 1706907 3365718 3413814 5048577 5120721 10097154 10241442 11444113 15145731 15362163 22888226 30291462 30724326 34332339 68664678 102997017 205994034 308991051 617982102 1911166871 3822333742 5733500613 11467001226 17200501839 34401003678 51601505517 103203011034