Search a number
-
+
103942404801 = 321074672
BaseRepresentation
bin110000011001101110…
…0110011101011000001
3100221021220222020221100
41200303130303223001
53200333223423201
6115430034245013
710336534602024
oct1406334635301
9327256866840
10103942404801
1140099861194
121818a126769
139a56516951
1450608a11bb
152a853d4886
hex1833733ac1

103942404801 has 9 divisors (see below), whose sum is σ = 150140426241. Its totient is φ = 69294291732.

The previous prime is 103942404791. The next prime is 103942404809. The reversal of 103942404801 is 108404249301.

It is a happy number.

The square root of 103942404801 is 322401.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 103942404801 - 27 = 103942404673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103942404809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 913470 + ... + 1020936.

Almost surely, 2103942404801 is an apocalyptic number.

103942404801 is the 322401-st square number.

103942404801 is the 161201-st centered octagonal number.

It is an amenable number.

103942404801 is a deficient number, since it is larger than the sum of its proper divisors (46198021440).

103942404801 is an frugal number, since it uses more digits than its factorization.

103942404801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214940 (or 107470 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 103942404801 by its sum of digits (36), we get a square (3741926572836 = 19344062).

The spelling of 103942404801 in words is "one hundred three billion, nine hundred forty-two million, four hundred four thousand, eight hundred one".

Divisors: 1 3 9 107467 322401 967203 11549156089 34647468267 103942404801