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100022012220 = 223513237277669
BaseRepresentation
bin101110100100111000…
…1101100100100111100
3100120011201001200100010
41131021301230210330
53114321113342340
6113541030503220
710140432035034
oct1351161544474
9316151050303
10100022012220
1139467900219
1217475204b10
139580248a20
144babd508c4
152906136b80
hex1749c6c93c

100022012220 has 192 divisors, whose sum is σ = 315192084480. Its totient is φ = 23514872832.

The previous prime is 100022012219. The next prime is 100022012231. The reversal of 100022012220 is 22210220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100022012196 and 100022012205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13038546 + ... + 13046214.

It is an arithmetic number, because the mean of its divisors is an integer number (1641625440).

Almost surely, 2100022012220 is an apocalyptic number.

100022012220 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 100022012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157596042240).

100022012220 is an abundant number, since it is smaller than the sum of its proper divisors (215170072260).

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

100022012220 is a wasteful number, since it uses less digits than its factorization.

100022012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8442 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100022012220 its reverse (22210220001), we get a palindrome (122232232221).

The spelling of 100022012220 in words is "one hundred billion, twenty-two million, twelve thousand, two hundred twenty".