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102023220 = 223513139941
BaseRepresentation
bin1100001010011…
…00000000110100
321002222022112210
412011030000310
5202104220340
614042413420
72346116535
oct605140064
9232868483
10102023220
1152653612
122a201270
13181a1690
14d79a68c
158e54180
hex614c034

102023220 has 96 divisors (see below), whose sum is σ = 310181760. Its totient is φ = 24906240.

The previous prime is 102023209. The next prime is 102023221. The reversal of 102023220 is 22320201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102023196 and 102023205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102023221) 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, 107950 + ... + 108890.

It is an arithmetic number, because the mean of its divisors is an integer number (3231060).

Almost surely, 2102023220 is an apocalyptic number.

102023220 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 102023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155090880).

102023220 is an abundant number, since it is smaller than the sum of its proper divisors (208158540).

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

102023220 is a wasteful number, since it uses less digits than its factorization.

102023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102023220 is about 10100.6544342434. The cubic root of 102023220 is about 467.2683248752.

Adding to 102023220 its reverse (22320201), we get a palindrome (124343421).

The spelling of 102023220 in words is "one hundred two million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 139 156 195 260 278 390 417 556 695 780 834 941 1390 1668 1807 1882 2085 2780 2823 3614 3764 4170 4705 5421 5646 7228 8340 9035 9410 10842 11292 12233 14115 18070 18820 21684 24466 27105 28230 36140 36699 48932 54210 56460 61165 73398 108420 122330 130799 146796 183495 244660 261598 366990 392397 523196 653995 733980 784794 1307990 1569588 1700387 1961985 2615980 3400774 3923970 5101161 6801548 7847940 8501935 10202322 17003870 20404644 25505805 34007740 51011610 102023220