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1013101141 = 13641121577
BaseRepresentation
bin111100011000101…
…011001001010101
32121121022212111111
4330120223021111
54033323214031
6244310135021
734051134433
oct7430531125
92547285444
101013101141
1147a961978
12243351471
13131b76440
149879bd53
155de1d1b1
hex3c62b255

1013101141 has 8 divisors (see below), whose sum is σ = 1092743064. Its totient is φ = 933703680.

The previous prime is 1013101139. The next prime is 1013101153. The reversal of 1013101141 is 1411013101.

It is a happy number.

1013101141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 85655025 + 927446116 = 9255^2 + 30454^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1013101141 - 21 = 1013101139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013101741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52456 + ... + 69121.

It is an arithmetic number, because the mean of its divisors is an integer number (136592883).

Almost surely, 21013101141 is an apocalyptic number.

It is an amenable number.

1013101141 is a deficient number, since it is larger than the sum of its proper divisors (79641923).

1013101141 is a wasteful number, since it uses less digits than its factorization.

1013101141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122231.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1013101141 is about 31829.2497712403. The cubic root of 1013101141 is about 1004.3481135070.

Adding to 1013101141 its reverse (1411013101), we get a palindrome (2424114242).

The spelling of 1013101141 in words is "one billion, thirteen million, one hundred one thousand, one hundred forty-one".

Divisors: 1 13 641 8333 121577 1580501 77930857 1013101141