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102321000 = 23325311369
BaseRepresentation
bin1100001100101…
…00101101101000
321010112110000200
412012110231220
5202143233000
614053032200
72351466645
oct606245550
9233473020
10102321000
1152837311
122a325660
1318277092
14d836dcc
158eb2500
hex6194b68

102321000 has 96 divisors (see below), whose sum is σ = 345875400. Its totient is φ = 27283200.

The previous prime is 102320969. The next prime is 102321001. The reversal of 102321000 is 123201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33663204 + 68657796 = 5802^2 + 8286^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102321001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3316 + ... + 14684.

Almost surely, 2102321000 is an apocalyptic number.

102321000 is a gapful number since it is divisible by the number (10) 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 102321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172937700).

102321000 is an abundant number, since it is smaller than the sum of its proper divisors (243554400).

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

102321000 is a wasteful number, since it uses less digits than its factorization.

102321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11396 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102321000 is about 10115.3843229014. The cubic root of 102321000 is about 467.7224960149.

Adding to 102321000 its reverse (123201), we get a palindrome (102444201).

The spelling of 102321000 in words is "one hundred two million, three hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 11369 22738 34107 45476 56845 68214 90952 102321 113690 136428 170535 204642 227380 272856 284225 341070 409284 454760 511605 568450 682140 818568 852675 1023210 1136900 1364280 1421125 1705350 2046420 2273800 2558025 2842250 3410700 4092840 4263375 5116050 5684500 6821400 8526750 10232100 11369000 12790125 17053500 20464200 25580250 34107000 51160500 102321000