Search a number
-
+
103003312434 = 231116728573271
BaseRepresentation
bin101111111101101111…
…0011101000100110010
3100211212110220102101120
41133323132131010302
53141422321444214
6115152530243110
710304342465301
oct1377336350462
9324773812346
10103003312434
113a7577591a0
1217b67726496
139936ab38a9
144db1c8a438
152a2cc34ea9
hex17fb79d132

103003312434 has 64 divisors (see below), whose sum is σ = 226228488192. Its totient is φ = 31005878400.

The previous prime is 103003312429. The next prime is 103003312439. The reversal of 103003312434 is 434213300301.

It is an interprime number because it is at equal distance from previous prime (103003312429) and next prime (103003312439).

It is not an unprimeable number, because it can be changed into a prime (103003312439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31488219 + ... + 31491489.

It is an arithmetic number, because the mean of its divisors is an integer number (3534820128).

Almost surely, 2103003312434 is an apocalyptic number.

103003312434 is an abundant number, since it is smaller than the sum of its proper divisors (123225175758).

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

103003312434 is a wasteful number, since it uses less digits than its factorization.

103003312434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 103003312434 its reverse (434213300301), we get a palindrome (537216612735).

The spelling of 103003312434 in words is "one hundred three billion, three million, three hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 167 334 501 1002 1837 2857 3271 3674 5511 5714 6542 8571 9813 11022 17142 19626 31427 35981 62854 71962 94281 107943 188562 215886 477119 546257 954238 1092514 1431357 1638771 2862714 3277542 5248309 6008827 9345247 10496618 12017654 15744927 18026481 18690494 28035741 31489854 36052962 56071482 102797717 205595434 308393151 616786302 1560656249 3121312498 4681968747 9363937494 17167218739 34334437478 51501656217 103003312434