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101310242320 = 2457414412467
BaseRepresentation
bin101111001011010001…
…1111001111000010000
3100200111111002112211001
41132112203321320100
53124440410223240
6114312530031344
710214363564650
oct1362643717020
9320444075731
10101310242320
1139a68a995a1
1217774718554
1397270c2661
144c9108a360
15297e29e89a
hex17968f9e10

101310242320 has 80 divisors (see below), whose sum is σ = 275761600128. Its totient is φ = 33887738880.

The previous prime is 101310242317. The next prime is 101310242333. The reversal of 101310242320 is 23242013101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2183274 + ... + 2229193.

Almost surely, 2101310242320 is an apocalyptic number.

101310242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101310242320 is an abundant number, since it is smaller than the sum of its proper divisors (174451357808).

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

101310242320 is a wasteful number, since it uses less digits than its factorization.

101310242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412528 (or 4412522 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 101310242320 its reverse (23242013101), we get a palindrome (124552255421).

The spelling of 101310242320 in words is "one hundred one billion, three hundred ten million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 22960 4412467 8824934 17649868 22062335 30887269 35299736 44124670 61774538 70599472 88249340 123549076 154436345 176498680 180911147 247098152 308872690 352997360 361822294 494196304 617745380 723644588 904555735 1235490760 1266378029 1447289176 1809111470 2470981520 2532756058 2894578352 3618222940 5065512116 6331890145 7236445880 10131024232 12663780290 14472891760 20262048464 25327560580 50655121160 101310242320