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102312441 = 32731123131
BaseRepresentation
bin1100001100100…
…10100111111001
321010112000021200
412012102213321
5202142444231
614052524413
72351433000
oct606224771
9233460250
10102312441
1152830940
122a320709
131827320a
14d833c37
158eaebe6
hex61929f9

102312441 has 96 divisors (see below), whose sum is σ = 197683200. Its totient is φ = 50450400.

The previous prime is 102312421. The next prime is 102312449. The reversal of 102312441 is 144213201.

It is not a de Polignac number, because 102312441 - 218 = 102050297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102312449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 780946 + ... + 781076.

It is an arithmetic number, because the mean of its divisors is an integer number (2059200).

Almost surely, 2102312441 is an apocalyptic number.

102312441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102312441 is a deficient number, since it is larger than the sum of its proper divisors (95370759).

102312441 is a wasteful number, since it uses less digits than its factorization.

102312441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102312441 is about 10114.9612456005. The cubic root of 102312441 is about 467.7094542200.

Adding to 102312441 its reverse (144213201), we get a palindrome (246525642).

It can be divided in two parts, 1023124 and 41, that added together give a triangular number (1023165 = T1430).

The spelling of 102312441 in words is "one hundred two million, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 23 33 49 63 69 77 99 131 147 161 207 231 253 343 393 441 483 539 693 759 917 1029 1127 1179 1441 1449 1617 1771 2277 2751 3013 3087 3381 3773 4323 4851 5313 6419 7889 8253 9039 10087 10143 11319 12397 12969 15939 19257 21091 23667 27117 30261 33143 33957 37191 44933 57771 63273 70609 71001 86779 90783 99429 111573 134799 147637 189819 211827 232001 260337 298287 404397 442911 494263 635481 696003 781011 1033459 1328733 1482789 1624007 2088009 3100377 4448367 4872021 9301131 11368049 14616063 34104147 102312441