Search a number
-
+
10012102100210 = 257220432861429
BaseRepresentation
bin1001000110110001111111…
…0010100000010011110010
31022110010222121110122100002
42101230133302200103302
52303014241114201320
633143255103030002
72052231136451300
oct221543762402362
938403877418302
1010012102100210
113210121691031
1211584b489b302
135781a24ba772
14268834527270
15125687630675
hex91b1fca04f2

10012102100210 has 24 divisors (see below), whose sum is σ = 20964115827180. Its totient is φ = 3432720719904.

The previous prime is 10012102100179. The next prime is 10012102100219. The reversal of 10012102100210 is 1200120121001.

It can be written as a sum of positive squares in 2 ways, for example, as 8332846368889 + 1679255731321 = 2886667^2 + 1295861^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10012102100191 and 10012102100200.

It is not an unprimeable number, because it can be changed into a prime (10012102100219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10216430225 + ... + 10216431204.

Almost surely, 210012102100210 is an apocalyptic number.

10012102100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10012102100210 is an abundant number, since it is smaller than the sum of its proper divisors (10952013726970).

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

10012102100210 is a wasteful number, since it uses less digits than its factorization.

10012102100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20432861450 (or 20432861443 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10012102100210 its reverse (1200120121001), we get a palindrome (11212222221211).

The spelling of 10012102100210 in words is "ten trillion, twelve billion, one hundred two million, one hundred thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 20432861429 40865722858 102164307145 143030030003 204328614290 286060060006 715150150015 1001210210021 1430300300030 2002420420042 5006051050105 10012102100210