Search a number
-
+
321141140130 = 235193471623647
BaseRepresentation
bin1001010110001011000…
…00001110101010100010
31010200220212201012222010
410223011200032222202
520230144112441010
6403310305053350
732126114436366
oct4530540165242
91120825635863
10321141140130
1111421688a838
12522a5627256
132438ba5c995
1411786bd52a6
1585486da620
hex4ac580eaa2

321141140130 has 64 divisors (see below), whose sum is σ = 813642485760. Its totient is φ = 80896538304.

The previous prime is 321141140123. The next prime is 321141140137. The reversal of 321141140130 is 31041141123.

It is an interprime number because it is at equal distance from previous prime (321141140123) and next prime (321141140137).

It is a junction number, because it is equal to n+sod(n) for n = 321141140097 and 321141140106.

It is not an unprimeable number, because it can be changed into a prime (321141140137) 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, 614034 + ... + 1009613.

It is an arithmetic number, because the mean of its divisors is an integer number (12713163840).

Almost surely, 2321141140130 is an apocalyptic number.

321141140130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

321141140130 is an abundant number, since it is smaller than the sum of its proper divisors (492501345630).

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

321141140130 is a wasteful number, since it uses less digits than its factorization.

321141140130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624023.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 321141140130 its reverse (31041141123), we get a palindrome (352182281253).

The spelling of 321141140130 in words is "three hundred twenty-one billion, one hundred forty-one million, one hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 347 570 694 1041 1735 2082 3470 5205 6593 10410 13186 19779 32965 39558 65930 98895 197790 1623647 3247294 4870941 8118235 9741882 16236470 24354705 30849293 48709410 61698586 92547879 154246465 185095758 308492930 462739395 563405509 925478790 1126811018 1690216527 2817027545 3380433054 5634055090 8451082635 10704704671 16902165270 21409409342 32114114013 53523523355 64228228026 107047046710 160570570065 321141140130