Search a number
-
+
101311323300 = 2232521110233467
BaseRepresentation
bin101111001011010100…
…0000001110010100100
3100200111120010110122100
41132112220001302210
53124441144321200
6114313005132100
710214406016335
oct1362650016244
9320446113570
10101311323300
1139a69667770
1217774b5a030
1397273b06a5
144c9128c28c
15297e414d00
hex1796a01ca4

101311323300 has 108 divisors (see below), whose sum is σ = 346423358736. Its totient is φ = 24560318400.

The previous prime is 101311323263. The next prime is 101311323329. The reversal of 101311323300 is 3323113101.

It is a happy number.

101311323300 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 323 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5106834 + ... + 5126633.

It is an arithmetic number, because the mean of its divisors is an integer number (3207623692).

Almost surely, 2101311323300 is an apocalyptic number.

101311323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101311323300 is an abundant number, since it is smaller than the sum of its proper divisors (245112035436).

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

101311323300 is a wasteful number, since it uses less digits than its factorization.

101311323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10233498 (or 10233488 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101311323300 its reverse (3323113101), we get a palindrome (104634436401).

The spelling of 101311323300 in words is "one hundred one billion, three hundred eleven million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 10233467 20466934 30700401 40933868 51167335 61400802 92101203 102334670 112568137 122801604 153502005 184202406 204669340 225136274 255836675 307004010 337704411 368404812 450272548 460506015 511673350 562840685 614008020 675408822 767510025 921012030 1013113233 1023346700 1125681370 1350817644 1535020050 1688522055 1842024060 2026226466 2251362740 2302530075 2814203425 3070040100 3377044110 4052452932 4605060150 5065566165 5628406850 6754088220 8442610275 9210120300 10131132330 11256813700 16885220550 20262264660 25327830825 33770441100 50655661650 101311323300