Search a number
-
+
103100303328 = 2531197632863
BaseRepresentation
bin110000000000101000…
…0011100011111100000
3100212010020102001212220
41200001100130133200
53142122134201303
6115210313151040
710306631055501
oct1400120343740
9325106361786
10103100303328
113a7a7484960
1217b940bb480
139950c12859
144dc0ad6ba8
152a364e3053
hex180141c7e0

103100303328 has 48 divisors (see below), whose sum is σ = 295241780736. Its totient is φ = 31242515840.

The previous prime is 103100303311. The next prime is 103100303329. The reversal of 103100303328 is 823303001301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 103100303298 and 103100303307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103100303329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48815376 + ... + 48817487.

It is an arithmetic number, because the mean of its divisors is an integer number (6150870432).

Almost surely, 2103100303328 is an apocalyptic number.

It is an amenable number.

103100303328 is an abundant number, since it is smaller than the sum of its proper divisors (192141477408).

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

103100303328 is a wasteful number, since it uses less digits than its factorization.

103100303328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97632887 (or 97632879 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103100303328 its reverse (823303001301), we get a palindrome (926403304629).

The spelling of 103100303328 in words is "one hundred three billion, one hundred million, three hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 97632863 195265726 292898589 390531452 585797178 781062904 1073961493 1171594356 1562125808 2147922986 2343188712 3124251616 3221884479 4295845972 4686377424 6443768958 8591691944 9372754848 12887537916 17183383888 25775075832 34366767776 51550151664 103100303328