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101044060 = 225132361277
BaseRepresentation
bin1100000010111…
…00111101011100
321001010120101121
412001130331130
5201331402220
614005420324
72334601045
oct601347534
9231116347
10101044060
1152044997
1229a0a6a4
1317c1aab0
14d5c38cc
158d0deaa
hex605cf5c

101044060 has 96 divisors (see below), whose sum is σ = 243234432. Its totient is φ = 34974720.

The previous prime is 101044057. The next prime is 101044061. The reversal of 101044060 is 60440101.

It is a happy number.

It is a super-2 number, since 2×1010440602 = 20419804122567200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101044061) 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, 364642 + ... + 364918.

It is an arithmetic number, because the mean of its divisors is an integer number (2533692).

Almost surely, 2101044060 is an apocalyptic number.

101044060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101044060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121617216).

101044060 is an abundant number, since it is smaller than the sum of its proper divisors (142190372).

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

101044060 is a wasteful number, since it uses less digits than its factorization.

101044060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 101044060 is about 10052.0674490375. The cubic root of 101044060 is about 465.7686596943.

Adding to 101044060 its reverse (60440101), we get a palindrome (161484161).

The spelling of 101044060 in words is "one hundred one million, forty-four thousand, sixty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 61 65 92 115 122 130 230 244 260 277 299 305 460 554 598 610 793 1108 1196 1220 1385 1403 1495 1586 2770 2806 2990 3172 3601 3965 5540 5612 5980 6371 7015 7202 7930 12742 14030 14404 15860 16897 18005 18239 25484 28060 31855 33794 36010 36478 63710 67588 72020 72956 82823 84485 91195 127420 165646 168970 182390 219661 331292 337940 364780 388631 414115 439322 777262 828230 878644 1098305 1554524 1656460 1943155 2196610 3886310 4393220 5052203 7772620 10104406 20208812 25261015 50522030 101044060