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10100010100 = 225210129901
BaseRepresentation
bin10010110100000000…
…11110110001110100
3222001212221200012011
421122000132301310
5131141100310400
64350114134004
7505200445405
oct113200366164
928055850164
1010100010100
114313213094
121b5a581304
13c4c63574b
146bb5579ac
153e1a658ba
hex25a01ec74

10100010100 has 54 divisors (see below), whose sum is σ = 22138406402. Its totient is φ = 3999600000.

The previous prime is 10100010071. The next prime is 10100010113. The reversal of 10100010100 is 101000101.

Adding to 10100010100 its reverse (101000101), we get a palindrome (10201010201).

Subtracting from 10100010100 its reverse (101000101), we obtain a palindrome (9999009999).

10100010100 divided by its reverse (101000101) gives a square (100 = 102).

It can be written as a sum of positive squares in 9 ways, for example, as 1145551716 + 8954458384 = 33846^2 + 94628^2 .

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 10100010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1015150 + ... + 1025050.

Almost surely, 210100010100 is an apocalyptic number.

10100010100 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 10100010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11069203201).

10100010100 is an abundant number, since it is smaller than the sum of its proper divisors (12038396302).

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

10100010100 is a wasteful number, since it uses less digits than its factorization.

10100010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117 (or 10009 counting only the distinct ones).

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

The spelling of 10100010100 in words is "ten billion, one hundred million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 9901 10100 10201 19802 20402 39604 40804 49505 51005 99010 102010 198020 204020 247525 255025 495050 510050 990100 1000001 1020100 2000002 4000004 5000005 10000010 20000020 25000025 50000050 100000100 101000101 202000202 404000404 505000505 1010001010 2020002020 2525002525 5050005050 10100010100