Search a number
-
+
100021002220 = 22511514344961
BaseRepresentation
bin101110100100110110…
…1110101111111101100
3100120011122011100212201
41131021231311333230
53114320334032340
6113540553111244
710140420330316
oct1351155657754
9316148140781
10100021002220
1139467280407
12174749b8524
13957cc840a9
144babb6a7b6
152905ed779a
hex1749b75fec

100021002220 has 24 divisors (see below), whose sum is σ = 210226641408. Its totient is φ = 39973632000.

The previous prime is 100021002209. The next prime is 100021002223. The reversal of 100021002220 is 22200120001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100021002197 and 100021002206.

It is not an unprimeable number, because it can be changed into a prime (100021002223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2149461 + ... + 2195500.

It is an arithmetic number, because the mean of its divisors is an integer number (8759443392).

Almost surely, 2100021002220 is an apocalyptic number.

100021002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021002220 is an abundant number, since it is smaller than the sum of its proper divisors (110205639188).

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

100021002220 is a wasteful number, since it uses less digits than its factorization.

100021002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346121 (or 4346119 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100021002220 its reverse (22200120001), we get a palindrome (122221122221).

The spelling of 100021002220 in words is "one hundred billion, twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1151 2302 4604 5755 11510 23020 4344961 8689922 17379844 21724805 43449610 86899220 5001050111 10002100222 20004200444 25005250555 50010501110 100021002220