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102230010 = 232517109613
BaseRepresentation
bin1100001011111…
…10011111111010
321010100211012200
412011332133322
5202132330020
614051051030
72350640451
oct605763772
9233324180
10102230010
1152784a13
122a2a0a76
131824483c
14d811b98
158e95590
hex617e7fa

102230010 has 96 divisors (see below), whose sum is σ = 284478480. Its totient is φ = 25380864.

The previous prime is 102229997. The next prime is 102230039. The reversal of 102230010 is 10032201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32524209 + 69705801 = 5703^2 + 8349^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102229974 and 102230001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166464 + ... + 167076.

Almost surely, 2102230010 is an apocalyptic number.

102230010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102230010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142239240).

102230010 is an abundant number, since it is smaller than the sum of its proper divisors (182248470).

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

102230010 is a wasteful number, since it uses less digits than its factorization.

102230010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 749 counting only the distinct ones).

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

The square root of 102230010 is about 10110.8857178785. The cubic root of 102230010 is about 467.5838125540.

Adding to 102230010 its reverse (10032201), we get a palindrome (112262211).

The spelling of 102230010 in words is "one hundred two million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 109 153 170 218 255 306 327 510 545 613 654 765 981 1090 1226 1530 1635 1839 1853 1962 3065 3270 3678 3706 4905 5517 5559 6130 9195 9265 9810 10421 11034 11118 16677 18390 18530 20842 27585 27795 31263 33354 52105 55170 55590 62526 66817 83385 93789 104210 133634 156315 166770 187578 200451 312630 334085 400902 468945 601353 668170 937890 1002255 1135889 1202706 2004510 2271778 3006765 3407667 5679445 6013530 6815334 10223001 11358890 17038335 20446002 34076670 51115005 102230010