Search a number
-
+
101434120424 = 23713210717891
BaseRepresentation
bin101111001110111110…
…0011101100011101000
3100200211010012012121222
41132131330131203220
53130214113323144
6114333113121212
710220426540420
oct1363574354350
9320733165558
10101434120424
113a021a09a9a
12177aa0b9208
139746976800
144ca36d5480
15298a0be2ee
hex179df1d8e8

101434120424 has 48 divisors (see below), whose sum is σ = 235364908320. Its totient is φ = 40127780160.

The previous prime is 101434120409. The next prime is 101434120433. The reversal of 101434120424 is 424021434101.

101434120424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 101434120393 and 101434120402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5349482 + ... + 5368409.

It is an arithmetic number, because the mean of its divisors is an integer number (4903435590).

Almost surely, 2101434120424 is an apocalyptic number.

101434120424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101434120424 is an abundant number, since it is smaller than the sum of its proper divisors (133930787896).

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

101434120424 is a wasteful number, since it uses less digits than its factorization.

101434120424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10717930 (or 10717913 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 101434120424 its reverse (424021434101), we get a palindrome (525455554525).

The spelling of 101434120424 in words is "one hundred one billion, four hundred thirty-four million, one hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 9464 10717891 21435782 42871564 75025237 85743128 139332583 150050474 278665166 300100948 557330332 600201896 975328081 1114660664 1811323579 1950656162 3622647158 3901312324 7245294316 7802624648 12679265053 14490588632 25358530106 50717060212 101434120424