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102141036 = 223219592531
BaseRepresentation
bin1100001011010…
…00110001101100
321010012022011100
412011220301230
5202122003121
614045123100
72350120164
oct605506154
9233168140
10102141036
1152724088
122a259490
13182131aa
14d7cb5a4
158e79026
hex6168c6c

102141036 has 72 divisors (see below), whose sum is σ = 276494400. Its totient is φ = 31695840.

The previous prime is 102141019. The next prime is 102141037. The reversal of 102141036 is 630141201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102141037) 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, 39091 + ... + 41621.

It is an arithmetic number, because the mean of its divisors is an integer number (3840200).

Almost surely, 2102141036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102141036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138247200).

102141036 is an abundant number, since it is smaller than the sum of its proper divisors (174353364).

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

102141036 is a wasteful number, since it uses less digits than its factorization.

102141036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102141036 is about 10106.4848488483. The cubic root of 102141036 is about 467.4481222044.

Adding to 102141036 its reverse (630141201), we get a palindrome (732282237).

The spelling of 102141036 in words is "one hundred two million, one hundred forty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 59 76 114 118 171 177 228 236 342 354 531 684 708 1062 1121 2124 2242 2531 3363 4484 5062 6726 7593 10089 10124 13452 15186 20178 22779 30372 40356 45558 48089 91116 96178 144267 149329 192356 288534 298658 432801 447987 577068 597316 865602 895974 1343961 1731204 1791948 2687922 2837251 5375844 5674502 8511753 11349004 17023506 25535259 34047012 51070518 102141036