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102021612 = 223711412693
BaseRepresentation
bin1100001010010…
…11100111101100
321002222020100020
412011023213230
5202104142422
614042402140
72346112050
oct605134754
9232866306
10102021612
1152652390
122a200350
13181a0a24
14d799c60
158e5395c
hex614b9ec

102021612 has 96 divisors (see below), whose sum is σ = 304141824. Its totient is φ = 25843200.

The previous prime is 102021599. The next prime is 102021643. The reversal of 102021612 is 216120201.

It is a junction number, because it is equal to n+sod(n) for n = 102021591 and 102021600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36538 + ... + 39230.

It is an arithmetic number, because the mean of its divisors is an integer number (3168144).

Almost surely, 2102021612 is an apocalyptic number.

102021612 is a gapful number since it is divisible by the number (12) 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 102021612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152070912).

102021612 is an abundant number, since it is smaller than the sum of its proper divisors (202120212).

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

102021612 is a wasteful number, since it uses less digits than its factorization.

102021612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 102021612 is about 10100.5748351270. The cubic root of 102021612 is about 467.2658699720.

Adding to 102021612 its reverse (216120201), we get a palindrome (318141813).

The spelling of 102021612 in words is "one hundred two million, twenty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 66 77 82 84 123 132 154 164 231 246 287 308 451 462 492 574 861 902 924 1148 1353 1722 1804 2693 2706 3157 3444 5386 5412 6314 8079 9471 10772 12628 16158 18851 18942 29623 32316 37702 37884 56553 59246 75404 88869 110413 113106 118492 177738 207361 220826 226212 331239 355476 414722 441652 622083 662478 772891 829444 1214543 1244166 1324956 1545782 2318673 2429086 2488332 3091564 3643629 4637346 4858172 7287258 8501801 9274692 14574516 17003602 25505403 34007204 51010806 102021612