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101141260 = 225114111213
BaseRepresentation
bin1100000011101…
…00101100001100
321001022111201121
412001310230030
5201343010020
614011450324
72335454323
oct601645414
9231274647
10101141260
1152100a20
1229a569a4
1317c530cc
14d60b0ba
158d2cbaa
hex6074b0c

101141260 has 48 divisors (see below), whose sum is σ = 237377952. Its totient is φ = 35878400.

The previous prime is 101141231. The next prime is 101141263. The reversal of 101141260 is 62141101.

It is not an unprimeable number, because it can be changed into a prime (101141263) 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 15 ways as a sum of consecutive naturals, for example, 3414 + ... + 14626.

It is an arithmetic number, because the mean of its divisors is an integer number (4945374).

Almost surely, 2101141260 is an apocalyptic number.

101141260 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 101141260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118688976).

101141260 is an abundant number, since it is smaller than the sum of its proper divisors (136236692).

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

101141260 is a wasteful number, since it uses less digits than its factorization.

101141260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11274 (or 11272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 101141260 is about 10056.9011131660. The cubic root of 101141260 is about 465.9179615754.

Adding to 101141260 its reverse (62141101), we get a palindrome (163282361).

The spelling of 101141260 in words is "one hundred one million, one hundred forty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 11213 22426 44852 56065 112130 123343 224260 246686 459733 493372 616715 919466 1233430 1838932 2298665 2466860 4597330 5057063 9194660 10114126 20228252 25285315 50570630 101141260