Search a number
-
+
322042130124 = 2231113199877381
BaseRepresentation
bin1001010111110110011…
…01001110111011001100
31010210020200002020212220
410223323031032323030
520234020241130444
6403535532255340
732160334640361
oct4537315167314
91123220066786
10322042130124
11114639428970
12524b7311550
13244a3611b60
141183072c468
15859c860619
hex4afb34eecc

322042130124 has 96 divisors (see below), whose sum is σ = 929264098560. Its totient is φ = 85340563200.

The previous prime is 322042130077. The next prime is 322042130129. The reversal of 322042130124 is 421031240223.

It is a happy number.

It is a super-2 number, since 2×3220421301242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 322042130094 and 322042130103.

It is not an unprimeable number, because it can be changed into a prime (322042130129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4906087 + ... + 4971294.

It is an arithmetic number, because the mean of its divisors is an integer number (9679834360).

Almost surely, 2322042130124 is an apocalyptic number.

It is an amenable number.

322042130124 is an abundant number, since it is smaller than the sum of its proper divisors (607221968436).

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

322042130124 is a wasteful number, since it uses less digits than its factorization.

322042130124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9877431 (or 9877429 counting only the distinct ones).

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

Adding to 322042130124 its reverse (421031240223), we get a palindrome (743073370347).

The spelling of 322042130124 in words is "three hundred twenty-two billion, forty-two million, one hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 44 52 57 66 76 78 114 132 143 156 209 228 247 286 418 429 494 572 627 741 836 858 988 1254 1482 1716 2508 2717 2964 5434 8151 10868 16302 32604 9877381 19754762 29632143 39509524 59264286 108651191 118528572 128405953 187670239 217302382 256811906 325953573 375340478 385217859 434604764 513623812 563010717 651907146 750680956 770435718 1126021434 1303814292 1412465483 1540871436 2064372629 2252042868 2439713107 2824930966 4128745258 4237396449 4879426214 5649861932 6193117887 7319139321 8257490516 8474792898 9758852428 12386235774 14638278642 16949585796 24772471548 26836844177 29276557284 53673688354 80510532531 107347376708 161021065062 322042130124