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102100260 = 22355397331
BaseRepresentation
bin1100001010111…
…10110100100100
321010010020020010
412011132310210
5202114202020
614044210220
72346560253
oct605366444
9233106203
10102100260
11526a6489
122a239970
13181ca772
14d7ba79a
158e6bde0
hex615ed24

102100260 has 96 divisors (see below), whose sum is σ = 295166592. Its totient is φ = 26357760.

The previous prime is 102100259. The next prime is 102100277. The reversal of 102100260 is 62001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308295 + ... + 308625.

It is an arithmetic number, because the mean of its divisors is an integer number (3074652).

Almost surely, 2102100260 is an apocalyptic number.

102100260 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 102100260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147583296).

102100260 is an abundant number, since it is smaller than the sum of its proper divisors (193066332).

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

102100260 is a wasteful number, since it uses less digits than its factorization.

102100260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102100260 is about 10104.4673288600. The cubic root of 102100260 is about 467.3859101808.

Adding to 102100260 its reverse (62001201), we get a palindrome (164101461).

The spelling of 102100260 in words is "one hundred two million, one hundred thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 97 106 159 194 212 265 291 318 331 388 485 530 582 636 662 795 970 993 1060 1164 1324 1455 1590 1655 1940 1986 2910 3180 3310 3972 4965 5141 5820 6620 9930 10282 15423 17543 19860 20564 25705 30846 32107 35086 51410 52629 61692 64214 70172 77115 87715 96321 102820 105258 128428 154230 160535 175430 192642 210516 263145 308460 321070 350860 385284 481605 526290 642140 963210 1052580 1701671 1926420 3403342 5105013 6806684 8508355 10210026 17016710 20420052 25525065 34033420 51050130 102100260