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101010100 = 225273101137
BaseRepresentation
bin1100000010101…
…00101010110100
321001001211210211
412001110222310
5201324310400
614004555204
72334400042
oct601245264
9231054724
10101010100
1152021424
12299b2b04
1317c084b9
14d5b5392
158d03dba
hex6054ab4

101010100 has 72 divisors (see below), whose sum is σ = 226032408. Its totient is φ = 39168000.

The previous prime is 101010079. The next prime is 101010113. The reversal of 101010100 is 1010101.

Adding to 101010100 its reverse (1010101), we get a palindrome (102020201).

Subtracting from 101010100 its reverse (1010101), we obtain a palindrome (99999999).

Multipling 101010100 by its reverse (1010101), we get a square (102030403020100 = 101010102).

101010100 divided by its reverse (1010101) gives a square (100 = 102).

It can be written as a sum of positive squares in 12 ways, for example, as 2683044 + 98327056 = 1638^2 + 9916^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 101010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737232 + ... + 737368.

It is an arithmetic number, because the mean of its divisors is an integer number (3139339).

Almost surely, 2101010100 is an apocalyptic number.

101010100 is a gapful number since it is divisible by the number (10) 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 101010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113016204).

101010100 is an abundant number, since it is smaller than the sum of its proper divisors (125022308).

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

101010100 is a wasteful number, since it uses less digits than its factorization.

101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 101010100 is about 10050.3781023402. The cubic root of 101010100 is about 465.7164736280.

The spelling of 101010100 in words is "one hundred one million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 101 137 146 202 274 292 365 404 505 548 685 730 1010 1370 1460 1825 2020 2525 2740 3425 3650 5050 6850 7300 7373 10001 10100 13700 13837 14746 20002 27674 29492 36865 40004 50005 55348 69185 73730 100010 138370 147460 184325 200020 250025 276740 345925 368650 500050 691850 737300 1000100 1010101 1383700 2020202 4040404 5050505 10101010 20202020 25252525 50505050 101010100