Search a number
-
+
100022020020 = 223351322962219
BaseRepresentation
bin101110100100111000…
…1101110011110110100
3100120011201002002001000
41131021301232132310
53114321114120040
6113541031003300
710140432066546
oct1351161563664
9316151062030
10100022020020
113946790606a
1217475209530
13958024c440
144babd53696
152906139130
hex1749c6e7b4

100022020020 has 192 divisors, whose sum is σ = 336585312000. Its totient is φ = 24512896512.

The previous prime is 100022020003. The next prime is 100022020051. The reversal of 100022020020 is 20020220001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100022019984 and 100022020011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1576471 + ... + 1638689.

It is an arithmetic number, because the mean of its divisors is an integer number (1753048500).

Almost surely, 2100022020020 is an apocalyptic number.

100022020020 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 100022020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168292656000).

100022020020 is an abundant number, since it is smaller than the sum of its proper divisors (236563291980).

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

100022020020 is a wasteful number, since it uses less digits than its factorization.

100022020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62479 (or 62471 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100022020020 its reverse (20020220001), we get a palindrome (120042240021).

The spelling of 100022020020 in words is "one hundred billion, twenty-two million, twenty thousand, twenty".