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101322016 = 253166313
BaseRepresentation
bin1100000101000…
…00110100100000
321001122200200021
412002200310200
5201414301031
614015403224
72340136315
oct602406440
9231580607
10101322016
1152214804
1229b23514
1317cb7473
14d656d0c
158d66511
hex60a0d20

101322016 has 12 divisors (see below), whose sum is σ = 199477782. Its totient is φ = 50660992.

The previous prime is 101321959. The next prime is 101322019. The reversal of 101322016 is 610223101.

It can be written as a sum of positive squares in only one way, i.e., 81072016 + 20250000 = 9004^2 + 4500^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101322019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1583125 + ... + 1583188.

Almost surely, 2101322016 is an apocalyptic number.

101322016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101322016 is a deficient number, since it is larger than the sum of its proper divisors (98155766).

101322016 is an equidigital number, since it uses as much as digits as its factorization.

101322016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166323 (or 3166315 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 101322016 is about 10065.8837664658. The cubic root of 101322016 is about 466.1953536330.

Adding to 101322016 its reverse (610223101), we get a palindrome (711545117).

The spelling of 101322016 in words is "one hundred one million, three hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 3166313 6332626 12665252 25330504 50661008 101322016