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202012110120 = 23353786352721
BaseRepresentation
bin1011110000100011011…
…1000010110100101000
3201022102120102110200110
42330020313002310220
511302210100010440
6232445244334320
720411022414162
oct2741067026450
9638376373613
10202012110120
117874462a327
12331995443a0
1316085146692
149ac540d932
1553c4e2a080
hex2f08dc2d28

202012110120 has 128 divisors (see below), whose sum is σ = 623148733440. Its totient is φ = 52352225280.

The previous prime is 202012110017. The next prime is 202012110121. The reversal of 202012110120 is 21011210202.

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 = 202012110096 and 202012110105.

It is not an unprimeable number, because it can be changed into a prime (202012110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3805360 + ... + 3858080.

It is an arithmetic number, because the mean of its divisors is an integer number (4868349480).

Almost surely, 2202012110120 is an apocalyptic number.

202012110120 is a gapful number since it is divisible by the number (20) 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 202012110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311574366720).

202012110120 is an abundant number, since it is smaller than the sum of its proper divisors (421136623320).

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

202012110120 is a wasteful number, since it uses less digits than its factorization.

202012110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53635 (or 53631 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202012110120 its reverse (21011210202), we get a palindrome (223023320322).

The spelling of 202012110120 in words is "two hundred two billion, twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 863 888 1110 1480 1726 2220 2589 3452 4315 4440 5178 6904 8630 10356 12945 17260 20712 25890 31931 34520 51780 52721 63862 95793 103560 105442 127724 158163 159655 191586 210884 255448 263605 316326 319310 383172 421768 478965 527210 632652 638620 766344 790815 957930 1054420 1265304 1277240 1581630 1915860 1950677 2108840 3163260 3831720 3901354 5852031 6326520 7802708 9753385 11704062 15605416 19506770 23408124 29260155 39013540 45498223 46816248 58520310 78027080 90996446 117040620 136494669 181992892 227491115 234081240 272989338 363985784 454982230 545978676 682473345 909964460 1091957352 1364946690 1683434251 1819928920 2729893380 3366868502 5050302753 5459786760 6733737004 8417171255 10100605506 13467474008 16834342510 20201211012 25251513765 33668685020 40402422024 50503027530 67337370040 101006055060 202012110120