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101030292 = 223211255127
BaseRepresentation
bin1100000010110…
…01100110010100
321001002212111200
412001121212110
5201330432132
614005232500
72334512646
oct601314624
9231085450
10101030292
1152035610
1229a02730
1317c1474c
14d5bc896
158d09d7c
hex6059994

101030292 has 36 divisors (see below), whose sum is σ = 278599776. Its totient is φ = 30615120.

The previous prime is 101030291. The next prime is 101030297. The reversal of 101030292 is 292030101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127168 + ... + 127959.

Almost surely, 2101030292 is an apocalyptic number.

101030292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101030292 is an abundant number, since it is smaller than the sum of its proper divisors (177569484).

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

101030292 is a wasteful number, since it uses less digits than its factorization.

101030292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255148 (or 255143 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101030292 is about 10051.3825914647. The cubic root of 101030292 is about 465.7475039260.

Adding to 101030292 its reverse (292030101), we get a palindrome (393060393).

The spelling of 101030292 in words is "one hundred one million, thirty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 255127 510254 765381 1020508 1530762 2296143 2806397 3061524 4592286 5612794 8419191 9184572 11225588 16838382 25257573 33676764 50515146 101030292