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102022020 = 2232519231297
BaseRepresentation
bin1100001010010…
…11101110000100
321002222020220100
412011023232010
5202104201040
614042404100
72346113202
oct605135604
9232866810
10102022020
1152652721
122a200630
13181a0c79
14d79a072
158e53b30
hex614bb84

102022020 has 144 divisors (see below), whose sum is σ = 340179840. Its totient is φ = 24634368.

The previous prime is 102022009. The next prime is 102022027. The reversal of 102022020 is 20220201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102021993 and 102022011.

It is not an unprimeable number, because it can be changed into a prime (102022027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78012 + ... + 79308.

It is an arithmetic number, because the mean of its divisors is an integer number (2362360).

Almost surely, 2102022020 is an apocalyptic number.

102022020 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 102022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170089920).

102022020 is an abundant number, since it is smaller than the sum of its proper divisors (238157820).

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

102022020 is a wasteful number, since it uses less digits than its factorization.

102022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102022020 is about 10100.5950319771. The cubic root of 102022020 is about 467.2664928603.

Adding to 102022020 its reverse (20220201), we get a palindrome (122242221).

The spelling of 102022020 in words is "one hundred two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 90 92 95 114 115 138 171 180 190 207 228 230 276 285 342 345 380 414 437 460 570 684 690 828 855 874 1035 1140 1297 1311 1380 1710 1748 2070 2185 2594 2622 3420 3891 3933 4140 4370 5188 5244 6485 6555 7782 7866 8740 11673 12970 13110 15564 15732 19455 19665 23346 24643 25940 26220 29831 38910 39330 46692 49286 58365 59662 73929 77820 78660 89493 98572 116730 119324 123215 147858 149155 178986 221787 233460 246430 268479 295716 298310 357972 369645 443574 447465 492860 536958 566789 596620 739290 887148 894930 1073916 1108935 1133578 1342395 1478580 1700367 1789860 2217870 2267156 2684790 2833945 3400734 4435740 5101101 5369580 5667890 6801468 8501835 10202202 11335780 17003670 20404404 25505505 34007340 51011010 102022020