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210020000120 = 235717310094297
BaseRepresentation
bin1100001110011000101…
…0101110000101111000
3202002002122200102121222
43003212022232011320
511420110110000440
6240252025251212
721113330355230
oct3034612560570
9662078612558
10210020000120
11810838a6637
1234853333b08
1316a601bcb28
14a244b6ccc0
1556e2e832b5
hex30e62ae178

210020000120 has 128 divisors (see below), whose sum is σ = 543837974400. Its totient is φ = 71503036416.

The previous prime is 210020000117. The next prime is 210020000149. The reversal of 210020000120 is 21000020012.

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 = 210020000098 and 210020000107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48873812 + ... + 48878108.

It is an arithmetic number, because the mean of its divisors is an integer number (4248734175).

Almost surely, 2210020000120 is an apocalyptic number.

210020000120 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 210020000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271918987200).

210020000120 is an abundant number, since it is smaller than the sum of its proper divisors (333817974280).

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

210020000120 is a wasteful number, since it uses less digits than its factorization.

210020000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5493 counting only the distinct ones).

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

Adding to 210020000120 its reverse (21000020012), we get a palindrome (231020020132).

The spelling of 210020000120 in words is "two hundred ten billion, twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 173 280 346 692 865 1009 1211 1384 1730 2018 2422 3460 4036 4297 4844 5045 6055 6920 7063 8072 8594 9688 10090 12110 14126 17188 20180 21485 24220 28252 30079 34376 35315 40360 42970 48440 56504 60158 70630 85940 120316 141260 150395 171880 174557 240632 282520 300790 349114 601580 698228 743381 872785 1203160 1221899 1396456 1486762 1745570 2443798 2973524 3491140 3716905 4335673 4887596 5203667 5947048 6109495 6982280 7433810 8671346 9775192 10407334 12218990 14867620 17342692 20814668 21678365 24437980 26018335 29735240 30349711 34685384 41629336 43356730 48875960 52036670 60699422 86713460 104073340 121398844 151748555 173426920 208146680 242797688 303497110 606994220 750071429 1213988440 1500142858 3000285716 3750357145 5250500003 6000571432 7500714290 10501000006 15001428580 21002000012 26252500015 30002857160 42004000024 52505000030 105010000060 210020000120