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100144322322 = 231137612103107
BaseRepresentation
bin101110101000100010…
…0010001011100010010
3100120111020012200020220
41131101010101130102
53120043421303242
6114001120213510
710143445460202
oct1352104213422
9316436180226
10100144322322
113951a94a650
12174aa16a296
13959c6a1275
144bc02ac402
152911c46bec
hex1751111712

100144322322 has 192 divisors, whose sum is σ = 232508869632. Its totient is φ = 28491782400.

The previous prime is 100144322321. The next prime is 100144322329. The reversal of 100144322322 is 223223441001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100144322292 and 100144322301.

It is not an unprimeable number, because it can be changed into a prime (100144322321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 935928193 + ... + 935928299.

It is an arithmetic number, because the mean of its divisors is an integer number (1210983696).

Almost surely, 2100144322322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100144322322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116254434816).

100144322322 is an abundant number, since it is smaller than the sum of its proper divisors (132364547310).

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

100144322322 is a wasteful number, since it uses less digits than its factorization.

100144322322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100144322322 its reverse (223223441001), we get a palindrome (323367763323).

The spelling of 100144322322 in words is "one hundred billion, one hundred forty-four million, three hundred twenty-two thousand, three hundred twenty-two".