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100322321 = 11172931831
BaseRepresentation
bin1011111101011…
…00110000010001
320222202220100112
411332230300101
5201140303241
613542131105
72325503621
oct576546021
9228686315
10100322321
11516a1710
1229720a95
1317a27428
14d476881
158c1a1eb
hex5facc11

100322321 has 16 divisors (see below), whose sum is σ = 116339328. Its totient is φ = 85497600.

The previous prime is 100322291. The next prime is 100322323. The reversal of 100322321 is 123223001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100322321 - 210 = 100321297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100322296 and 100322305.

It is not an unprimeable number, because it can be changed into a prime (100322323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53876 + ... + 55706.

It is an arithmetic number, because the mean of its divisors is an integer number (7271208).

Almost surely, 2100322321 is an apocalyptic number.

100322321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100322321 is a deficient number, since it is larger than the sum of its proper divisors (16017007).

100322321 is a wasteful number, since it uses less digits than its factorization.

100322321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 100322321 is about 10016.1030845334. The cubic root of 100322321 is about 464.6570423718.

Adding to 100322321 its reverse (123223001), we get a palindrome (223545322).

The spelling of 100322321 in words is "one hundred million, three hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 11 17 187 293 1831 3223 4981 20141 31127 54791 342397 536483 5901313 9120211 100322321