Search a number
-
+
103400433230034 = 23295322343501829
BaseRepresentation
bin10111100000101011001010…
…000101111010000011010010
3111120002222120222100112121110
4113200223022011322003102
5102023103041401330114
61003525300412034150
730531302061532563
oct2740531205720322
9446088528315543
10103400433230034
112aa45971a073a6
12b71b843a62956
134590807c8b9c5
141b7687164216a
15be4a38986759
hex5e0aca17a0d2

103400433230034 has 64 divisors (see below), whose sum is σ = 217978572268800. Its totient is φ = 32648881504512.

The previous prime is 103400433230009. The next prime is 103400433230047. The reversal of 103400433230034 is 430032334004301.

It is a junction number, because it is equal to n+sod(n) for n = 103400433229983 and 103400433230010.

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, 205796232 + ... + 206298060.

It is an arithmetic number, because the mean of its divisors is an integer number (3405915191700).

Almost surely, 2103400433230034 is an apocalyptic number.

103400433230034 is an abundant number, since it is smaller than the sum of its proper divisors (114578139038766).

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

103400433230034 is a wasteful number, since it uses less digits than its factorization.

103400433230034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524259.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 103400433230034 its reverse (430032334004301), we get a palindrome (533432767234335).

The spelling of 103400433230034 in words is "one hundred three trillion, four hundred billion, four hundred thirty-three million, two hundred thirty thousand, thirty-four".

Divisors: 1 2 3 6 29 53 58 87 106 159 174 318 1537 3074 4611 9222 22343 44686 67029 134058 501829 647947 1003658 1184179 1295894 1505487 1943841 2368358 3010974 3552537 3887682 7105074 14553041 26596937 29106082 34341191 43659123 53193874 68682382 79790811 87318246 103023573 159581622 206047146 771311173 1542622346 2313933519 4627867038 11212365347 22424730694 33637096041 67274192082 325158595063 594255363391 650317190126 975475785189 1188510726782 1782766090173 1950951570378 3565532180346 17233405538339 34466811076678 51700216615017 103400433230034