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100442322 = 23319223439
BaseRepresentation
bin1011111110010…
…10000011010010
320222222222222000
411333022003102
5201203123242
613544454430
72326513521
oct577120322
9228888860
10100442322
1151773892
122977a416
1317a69c36
14d4a84b8
158c40a4c
hex5fca0d2

100442322 has 64 divisors (see below), whose sum is σ = 236544000. Its totient is φ = 31504464.

The previous prime is 100442299. The next prime is 100442327. The reversal of 100442322 is 223244001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100442295 and 100442304.

It is not an unprimeable number, because it can be changed into a prime (100442327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228579 + ... + 229017.

It is an arithmetic number, because the mean of its divisors is an integer number (3696000).

Almost surely, 2100442322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100442322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118272000).

100442322 is an abundant number, since it is smaller than the sum of its proper divisors (136101678).

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

100442322 is a wasteful number, since it uses less digits than its factorization.

100442322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100442322 is about 10022.0916978443. The cubic root of 100442322 is about 464.8422357621.

Adding to 100442322 its reverse (223244001), we get a palindrome (323686323).

The spelling of 100442322 in words is "one hundred million, four hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 223 342 439 446 513 669 878 1026 1317 1338 2007 2634 3951 4014 4237 6021 7902 8341 8474 11853 12042 12711 16682 23706 25023 25422 38133 50046 75069 76266 97897 114399 150138 195794 225207 228798 293691 450414 587382 881073 1762146 1860043 2643219 3720086 5286438 5580129 11160258 16740387 33480774 50221161 100442322