Search a number
-
+
100001100020 = 22541121952561
BaseRepresentation
bin101110100100010000…
…1111011000011110100
3100120010020201020012012
41131020201323003310
53114300240200040
6113535002343352
710140056216363
oct1351041730364
9316106636165
10100001100020
1139457017608
121746a1bab58
139578b06343
144ba92697da
1529043a5865
hex174887b0f4

100001100020 has 24 divisors (see below), whose sum is σ = 215124319368. Its totient is φ = 39024819200.

The previous prime is 100001099993. The next prime is 100001100053. The reversal of 100001100020 is 20001100001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4962075364 + 95039024656 = 70442^2 + 308284^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 100001099977 and 100001100013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60975461 + ... + 60977100.

It is an arithmetic number, because the mean of its divisors is an integer number (8963513307).

Almost surely, 2100001100020 is an apocalyptic number.

100001100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001100020 is an abundant number, since it is smaller than the sum of its proper divisors (115123219348).

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

100001100020 is a wasteful number, since it uses less digits than its factorization.

100001100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121952611 (or 121952609 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100001100020 its reverse (20001100001), we get a palindrome (120002200021).

The spelling of 100001100020 in words is "one hundred billion, one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 121952561 243905122 487810244 609762805 1219525610 2439051220 5000055001 10000110002 20000220004 25000275005 50000550010 100001100020