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102201330 = 235711151293
BaseRepresentation
bin1100001011101…
…11011111110010
321010022100212110
412011313133302
5202130420310
614050310150
72350461030
oct605673762
9233270773
10102201330
1152765410
122a288356
131823477a
14d805550
158e8bd20
hex61777f2

102201330 has 128 divisors (see below), whose sum is σ = 308883456. Its totient is φ = 21024000.

The previous prime is 102201317. The next prime is 102201373. The reversal of 102201330 is 33102201.

It is a happy number.

It is a super-2 number, since 2×1022013302 = 20890223707537800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348664 + ... + 348956.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2102201330 is an apocalyptic number.

102201330 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 102201330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728).

102201330 is an abundant number, since it is smaller than the sum of its proper divisors (206682126).

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

102201330 is a wasteful number, since it uses less digits than its factorization.

102201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102201330 is about 10109.4673450187. The cubic root of 102201330 is about 467.5400825442.

Adding to 102201330 its reverse (33102201), we get a palindrome (135303531).

The spelling of 102201330 in words is "one hundred two million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 151 154 165 210 231 293 302 330 385 453 462 586 755 770 879 906 1057 1155 1465 1510 1661 1758 2051 2114 2265 2310 2930 3171 3223 3322 4102 4395 4530 4983 5285 6153 6342 6446 8305 8790 9669 9966 10255 10570 11627 12306 15855 16115 16610 19338 20510 22561 23254 24915 30765 31710 32230 34881 44243 45122 48345 49830 58135 61530 67683 69762 88486 96690 112805 116270 132729 135366 174405 221215 225610 265458 309701 338415 348810 442430 486673 619402 663645 676830 929103 973346 1327290 1460019 1548505 1858206 2433365 2920038 3097010 3406711 4645515 4866730 6813422 7300095 9291030 10220133 14600190 17033555 20440266 34067110 51100665 102201330