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321240042123 = 372111315281863
BaseRepresentation
bin1001010110010110110…
…01100000101010001011
31010201011202210221222220
410223023121200222023
520230344422321443
6403324200545123
732131425206400
oct4531331405213
91121152727886
10321240042123
111142676a1320
12523127821a3
13243a63aa780
1411795dbc2a7
158552224a83
hex4acb660a8b

321240042123 has 48 divisors (see below), whose sum is σ = 585356518656. Its totient is φ = 154041168960.

The previous prime is 321240042107. The next prime is 321240042131.

It is a happy number.

321240042123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321240042123 - 24 = 321240042107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321240042093 and 321240042102.

It is not an unprimeable number, because it can be changed into a prime (321240042023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7619911 + ... + 7661952.

It is an arithmetic number, because the mean of its divisors is an integer number (12194927472).

Almost surely, 2321240042123 is an apocalyptic number.

321240042123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

321240042123 is a deficient number, since it is larger than the sum of its proper divisors (264116476533).

321240042123 is a wasteful number, since it uses less digits than its factorization.

321240042123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15281904 (or 15281897 counting only the distinct ones).

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

It can be divided in two parts, 3212400 and 42123, that added together give a palindrome (3254523).

The spelling of 321240042123 in words is "three hundred twenty-one billion, two hundred forty million, forty-two thousand, one hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 7007 21021 15281863 45845589 106973041 168100493 198664219 320919123 504301479 595992657 748811287 1176703451 1390649533 2185306409 2246433861 3530110353 4171948599 6555919227 8236924157 9734546731 15297144863 24710772471 29203640193 45891434589 107080014041 321240042123