Search a number
-
+
103410416031 = 313110314831621
BaseRepresentation
bin110000001001110111…
…1011011100110011111
3100212220211221102112120
41200103233123212133
53143241031303111
6115301152034023
710320415014246
oct1402357334637
9325824842476
10103410416031
113a94653614a
121805bb32913
1399a02415b0
14500dd7d95d
152a5384d406
hex1813bdb99f

103410416031 has 32 divisors (see below), whose sum is σ = 148813335552. Its totient is φ = 63497416320.

The previous prime is 103410416003. The next prime is 103410416047. The reversal of 103410416031 is 130614014301.

It is not a de Polignac number, because 103410416031 - 210 = 103410415007 is a prime.

It is a super-2 number, since 2×1034104160312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103410415992 and 103410416010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103410416831) 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, 63793401 + ... + 63795021.

It is an arithmetic number, because the mean of its divisors is an integer number (4650416736).

Almost surely, 2103410416031 is an apocalyptic number.

103410416031 is a deficient number, since it is larger than the sum of its proper divisors (45402919521).

103410416031 is a wasteful number, since it uses less digits than its factorization.

103410416031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 103410416031 in words is "one hundred three billion, four hundred ten million, four hundred sixteen thousand, thirty-one".

Divisors: 1 3 13 39 1103 1483 1621 3309 4449 4863 14339 19279 21073 43017 57837 63219 1635749 1787963 2403943 4907247 5363889 7211829 21264737 23243519 31251259 63794211 69730557 93753777 2651549129 7954647387 34470138677 103410416031