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103242242301 = 31137103820927
BaseRepresentation
bin110000000100110110…
…1111001100011111101
3100212111010111022112220
41200021231321203331
53142420003223201
6115232343315553
710313303402652
oct1401155714375
9325433438486
10103242242301
113a86a6107a0
121801374bbb9
13997444b603
144dd58c3c29
152a43bce036
hex1809b798fd

103242242301 has 32 divisors (see below), whose sum is σ = 155726757888. Its totient is φ = 60288805440.

The previous prime is 103242242293. The next prime is 103242242321.

It is a happy number.

103242242301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103242242301 - 23 = 103242242293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103242242321) 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, 284701 + ... + 536226.

It is an arithmetic number, because the mean of its divisors is an integer number (4866461184).

Almost surely, 2103242242301 is an apocalyptic number.

103242242301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103242242301 is a deficient number, since it is larger than the sum of its proper divisors (52484515587).

103242242301 is a wasteful number, since it uses less digits than its factorization.

103242242301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821081.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 103242 and 242301, that added together give a palindrome (345543).

The spelling of 103242242301 in words is "one hundred three billion, two hundred forty-two million, two hundred forty-two thousand, three hundred one".

Divisors: 1 3 11 33 37 103 111 309 407 1133 1221 3399 3811 11433 41921 125763 820927 2462781 9030197 27090591 30374299 84555481 91122897 253666443 334117289 930110291 1002351867 2790330873 3128552797 9385658391 34414080767 103242242301