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102202020 = 22335533571
BaseRepresentation
bin1100001011101…
…11101010100100
321010022101211000
412011313222210
5202130431040
614050313300
72350463034
oct605675244
9233271730
10102202020
1152765988
122a288830
1318234b8b
14d8058c4
158e8c130
hex6177aa4

102202020 has 96 divisors (see below), whose sum is σ = 324051840. Its totient is φ = 26732160.

The previous prime is 102201991. The next prime is 102202021. The reversal of 102202020 is 20202201.

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 = 102201993 and 102202011.

It is not an unprimeable number, because it can be changed into a prime (102202021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26835 + ... + 30405.

It is an arithmetic number, because the mean of its divisors is an integer number (3375540).

Almost surely, 2102202020 is an apocalyptic number.

102202020 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 102202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162025920).

102202020 is an abundant number, since it is smaller than the sum of its proper divisors (221849820).

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

102202020 is a wasteful number, since it uses less digits than its factorization.

102202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3634 counting only the distinct ones).

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

The square root of 102202020 is about 10109.5014713882. The cubic root of 102202020 is about 467.5411347221.

Adding to 102202020 its reverse (20202201), we get a palindrome (122404221).

The spelling of 102202020 in words is "one hundred two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1590 1908 2385 2862 3180 3571 4770 5724 7142 7155 9540 10713 14284 14310 17855 21426 28620 32139 35710 42852 53565 64278 71420 96417 107130 128556 160695 189263 192834 214260 321390 378526 385668 482085 567789 642780 757052 946315 964170 1135578 1703367 1892630 1928340 2271156 2838945 3406734 3785260 5110101 5677890 6813468 8516835 10220202 11355780 17033670 20440404 25550505 34067340 51101010 102202020