Search a number
-
+
10020210100 = 2252100202101
BaseRepresentation
bin10010101010100000…
…00100010110110100
3221212022210102011121
421111100010112310
5131010133210400
64334143513324
7503211244345
oct112520042664
927768712147
1010020210100
11428216917a
121b378b8844
13c38c45404
146b0b040cc
153d9a5121a
hex2554045b4

10020210100 has 18 divisors (see below), whose sum is σ = 21743856134. Its totient is φ = 4008084000.

The previous prime is 10020210041. The next prime is 10020210121. The reversal of 10020210100 is 101202001.

It can be written as a sum of positive squares in 3 ways, for example, as 172029456 + 9848180644 = 13116^2 + 99238^2 .

It is a super-2 number, since 2×100202101002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 50100951 + ... + 50101150.

Almost surely, 210020210100 is an apocalyptic number.

10020210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020210100 is an abundant number, since it is smaller than the sum of its proper divisors (11723646034).

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

10020210100 is a wasteful number, since it uses less digits than its factorization.

10020210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100202115 (or 100202108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10020210100 its reverse (101202001), we get a palindrome (10121412101).

The spelling of 10020210100 in words is "ten billion, twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 100202101 200404202 400808404 501010505 1002021010 2004042020 2505052525 5010105050 10020210100