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101641230 = 2345294327
BaseRepresentation
bin1100000111011…
…10110000001110
321002020220120000
412003232300032
5202010004410
614030305130
72342636055
oct603566016
9232226500
10101641230
1152412619
122a0581a6
1318099852
14d6db39c
158dcadc0
hex60eec0e

101641230 has 80 divisors (see below), whose sum is σ = 282791520. Its totient is φ = 26163648.

The previous prime is 101641229. The next prime is 101641237. The reversal of 101641230 is 32146101.

It is a happy number.

101641230 is a `hidden beast` number, since 1 + 0 + 1 + 641 + 23 + 0 = 666.

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 (101641237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21327 + ... + 25653.

It is an arithmetic number, because the mean of its divisors is an integer number (3534894).

Almost surely, 2101641230 is an apocalyptic number.

101641230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101641230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141395760).

101641230 is an abundant number, since it is smaller than the sum of its proper divisors (181150290).

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

101641230 is a wasteful number, since it uses less digits than its factorization.

101641230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101641230 is about 10081.7275305376. The cubic root of 101641230 is about 466.6844216601.

Adding to 101641230 its reverse (32146101), we get a palindrome (133787331).

The spelling of 101641230 in words is "one hundred one million, six hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4327 4698 7830 8654 11745 12981 21635 23490 25962 38943 43270 64905 77886 116829 125483 129810 194715 233658 250966 350487 376449 389430 584145 627415 700974 752898 1129347 1168290 1254830 1752435 1882245 2258694 3388041 3504870 3764490 5646735 6776082 10164123 11293470 16940205 20328246 33880410 50820615 101641230