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101012110001110 = 25711911144000613
BaseRepresentation
bin10110111101111010110110…
…111011110100001111010110
3111020122122220121211202021101
4112331322312323310033112
5101214440300130013420
6554500153412340314
730163612152203050
oct2675726673641726
9436578817752241
10101012110001110
112a204aa4796150
12b3b49a731469a
13444952a2abcc9
141ad302570c8d0
15ba285428460a
hex5bdeb6ef43d6

101012110001110 has 64 divisors (see below), whose sum is σ = 226935751624704. Its totient is φ = 31449733660800.

The previous prime is 101012110001051. The next prime is 101012110001221. The reversal of 101012110001110 is 11100011210101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71298837 + ... + 72701776.

It is an arithmetic number, because the mean of its divisors is an integer number (3545871119136).

Almost surely, 2101012110001110 is an apocalyptic number.

101012110001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101012110001110 is an abundant number, since it is smaller than the sum of its proper divisors (125923641623594).

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

101012110001110 is a wasteful number, since it uses less digits than its factorization.

101012110001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144001549.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101012110001110 its reverse (11100011210101), we get a palindrome (112112121211211).

The spelling of 101012110001110 in words is "one hundred one trillion, twelve billion, one hundred ten million, one thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 911 1822 4555 6377 9110 10021 12754 20042 31885 50105 63770 70147 100210 140294 350735 701470 144000613 288001226 720003065 1008004291 1440006130 1584006743 2016008582 3168013486 5040021455 7920033715 10080042910 11088047201 15840067430 22176094402 55440236005 110880472010 131184558443 262369116886 655922792215 918291909101 1311845584430 1443030142873 1836583818202 2886060285746 4591459545505 7215150714365 9182919091010 10101211000111 14430301428730 20202422000222 50506055000555 101012110001110