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2321323220100 = 2235244950334261
BaseRepresentation
bin100001110001111001101…
…001010101110010000100
322012220202000011200200210
4201301321221111302010
5301013032221020400
64534222352435420
7326465360545023
oct41617151256204
98186660150623
102321323220100
11815516493a35
12315a7a548b70
1313ab90c45881
14804d19208ba
15405b2682950
hex21c79a55c84

2321323220100 has 144 divisors (see below), whose sum is σ = 6744899548800. Its totient is φ = 616394956800.

The previous prime is 2321323220039. The next prime is 2321323220101. The reversal of 2321323220100 is 10223231232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2321323220101) 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 47 ways as a sum of consecutive naturals, for example, 67736970 + ... + 67771230.

It is an arithmetic number, because the mean of its divisors is an integer number (46839580200).

Almost surely, 22321323220100 is an apocalyptic number.

2321323220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321323220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372449774400).

2321323220100 is an abundant number, since it is smaller than the sum of its proper divisors (4423576328700).

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

2321323220100 is a wasteful number, since it uses less digits than its factorization.

2321323220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35230 (or 35223 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2321323220100 its reverse (10223231232), we get a palindrome (2331546451332).

The spelling of 2321323220100 in words is "two trillion, three hundred twenty-one billion, three hundred twenty-three million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 449 503 898 1006 1347 1509 1796 2012 2245 2515 2694 3018 4490 5030 5388 6036 6735 7545 8980 10060 11225 12575 13470 15090 22450 25150 26940 30180 33675 34261 37725 44900 50300 67350 68522 75450 102783 134700 137044 150900 171305 205566 225847 342610 411132 451694 513915 677541 685220 856525 903388 1027830 1129235 1355082 1713050 2055660 2258470 2569575 2710164 3387705 3426100 4516940 5139150 5646175 6775410 10278300 11292350 13550820 15383189 16938525 17233283 22584700 30766378 33877050 34466566 46149567 51699849 61532756 67754100 68933132 76915945 86166415 92299134 103399698 153831890 172332830 184598268 206799396 230747835 258499245 307663780 344665660 384579725 430832075 461495670 516998490 769159450 861664150 922991340 1033996980 1153739175 1292496225 1538318900 1723328300 2307478350 2584992450 4614956700 5169984900 7737744067 15475488134 23213232201 30950976268 38688720335 46426464402 77377440670 92852928804 116066161005 154754881340 193443601675 232132322010 386887203350 464264644020 580330805025 773774406700 1160661610050 2321323220100