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97241341000 = 2353761127781
BaseRepresentation
bin101101010010000001…
…0010001110001001000
3100021222220201221112011
41122210002101301020
53043122240403000
6112401055225304
710011505521616
oct1324402216110
9307886657464
1097241341000
1138270224831
1216a19b18234
13922912853b
1449c691c6b6
1527e1e692ba
hex16a4091c48

97241341000 has 64 divisors (see below), whose sum is σ = 227845528560. Its totient is φ = 38845120000.

The previous prime is 97241340991. The next prime is 97241341031. The reversal of 97241341000 is 14314279.

It can be written as a sum of positive squares in 8 ways, for example, as 16094981956 + 81146359044 = 126866^2 + 284862^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697110 + ... + 824890.

Almost surely, 297241341000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97241341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113922764280).

97241341000 is an abundant number, since it is smaller than the sum of its proper divisors (130604187560).

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

97241341000 is a wasteful number, since it uses less digits than its factorization.

97241341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128563 (or 128549 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 97241341000 its reverse (14314279), we get a palindrome (97255655279).

The spelling of 97241341000 in words is "ninety-seven billion, two hundred forty-one million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 761 1000 1522 3044 3805 6088 7610 15220 19025 30440 38050 76100 95125 127781 152200 190250 255562 380500 511124 638905 761000 1022248 1277810 2555620 3194525 5111240 6389050 12778100 15972625 25556200 31945250 63890500 97241341 127781000 194482682 388965364 486206705 777930728 972413410 1944826820 2431033525 3889653640 4862067050 9724134100 12155167625 19448268200 24310335250 48620670500 97241341000