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101322004300 = 225211175418289
BaseRepresentation
bin101111001011101000…
…0110001011101001100
3100200112022020010012221
41132113100301131030
53130001413114200
6114314030105124
710214565553306
oct1362720613514
9320468203187
10101322004300
1139a746a2540
121777864b1a4
1397296801ca
144c9286c976
15298032491a
hex179743174c

101322004300 has 72 divisors (see below), whose sum is σ = 253966088880. Its totient is φ = 34677043200.

The previous prime is 101322004279. The next prime is 101322004309. The reversal of 101322004300 is 3400223101.

It is a happy number.

It is a super-2 number, since 2×1013220043002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101322004309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2690445 + ... + 2727844.

It is an arithmetic number, because the mean of its divisors is an integer number (3527306790).

Almost surely, 2101322004300 is an apocalyptic number.

101322004300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322004300 is an abundant number, since it is smaller than the sum of its proper divisors (152644084580).

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

101322004300 is a wasteful number, since it uses less digits than its factorization.

101322004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418331 (or 5418324 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 101322004300 its reverse (3400223101), we get a palindrome (104722227401).

The spelling of 101322004300 in words is "one hundred one billion, three hundred twenty-two million, four thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 5418289 10836578 21673156 27091445 54182890 59601179 92110913 108365780 119202358 135457225 184221826 238404716 270914450 298005895 368443652 460554565 541828900 596011790 921109130 1013220043 1192023580 1490029475 1842218260 2026440086 2302772825 2980058950 4052880172 4605545650 5066100215 5960117900 9211091300 10132200430 20264400860 25330501075 50661002150 101322004300