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102020120 = 23519241557
BaseRepresentation
bin1100001010010…
…11010000011000
321002222011021222
412011023100120
5202104120440
614042351212
72346104516
oct605132030
9232864258
10102020120
1152651254
122a1bb508
13181a0147
14d7994b6
158e532b5
hex614b418

102020120 has 64 divisors (see below), whose sum is σ = 243064800. Its totient is φ = 38430720.

The previous prime is 102020119. The next prime is 102020143. The reversal of 102020120 is 21020201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 102020098 and 102020107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182882 + ... + 183438.

Almost surely, 2102020120 is an apocalyptic number.

102020120 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 102020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121532400).

102020120 is an abundant number, since it is smaller than the sum of its proper divisors (141044680).

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

102020120 is a wasteful number, since it uses less digits than its factorization.

102020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 102020120 is about 10100.5009776743. The cubic root of 102020120 is about 467.2635921406.

Adding to 102020120 its reverse (21020201), we get a palindrome (123040321).

The spelling of 102020120 in words is "one hundred two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 241 380 482 557 760 964 1114 1205 1928 2228 2410 2785 4456 4579 4820 5570 9158 9640 10583 11140 18316 21166 22280 22895 36632 42332 45790 52915 84664 91580 105830 134237 183160 211660 268474 423320 536948 671185 1073896 1342370 2550503 2684740 5101006 5369480 10202012 12752515 20404024 25505030 51010060 102020120