Search a number
-
+
210121002120 = 23356726134453
BaseRepresentation
bin1100001110110000110…
…0000000110010001000
3202002100200201212022210
43003230030000302020
511420311434031440
6240310034145120
721115665022551
oct3035414006210
9662320655283
10210121002120
1181125911967
12348811221a0
1316a780c4723
14a254341328
1556ebc84a80
hex30ec300c88

210121002120 has 64 divisors (see below), whose sum is σ = 639771433920. Its totient is φ = 55195962624.

The previous prime is 210121002097. The next prime is 210121002121. The reversal of 210121002120 is 21200121012.

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 = 210121002096 and 210121002105.

It is not an unprimeable number, because it can be changed into a prime (210121002121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13059187 + ... + 13075266.

It is an arithmetic number, because the mean of its divisors is an integer number (9996428655).

Almost surely, 2210121002120 is an apocalyptic number.

210121002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210121002120 is an abundant number, since it is smaller than the sum of its proper divisors (429650431800).

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

210121002120 is a wasteful number, since it uses less digits than its factorization.

210121002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26134534 (or 26134530 counting only the distinct ones).

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

Adding to 210121002120 its reverse (21200121012), we get a palindrome (231321123132).

The spelling of 210121002120 in words is "two hundred ten billion, one hundred twenty-one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 26134453 52268906 78403359 104537812 130672265 156806718 209075624 261344530 313613436 392016795 522689060 627226872 784033590 1045378120 1568067180 1751008351 3136134360 3502016702 5253025053 7004033404 8755041755 10506050106 14008066808 17510083510 21012100212 26265125265 35020167020 42024200424 52530250530 70040334040 105060501060 210121002120