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101142223440 = 2435421425931
BaseRepresentation
bin101111000110010001…
…0111101101001010000
3100200001202221022020120
41132030202331221100
53124114402122230
6114244124510240
710210253466666
oct1361442755120
9320052838216
10101142223440
113999216a515
12177283ab380
1396cb354cbb
144c76a30c36
15296e661310
hex178c8bda50

101142223440 has 40 divisors (see below), whose sum is σ = 313540893408. Its totient is φ = 26971259520.

The previous prime is 101142223417. The next prime is 101142223487. The reversal of 101142223440 is 44322241101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101142223440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210712726 + ... + 210713205.

Almost surely, 2101142223440 is an apocalyptic number.

101142223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101142223440 is an abundant number, since it is smaller than the sum of its proper divisors (212398669968).

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

101142223440 is a wasteful number, since it uses less digits than its factorization.

101142223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421425947 (or 421425941 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101142223440 its reverse (44322241101), we get a palindrome (145464464541).

The spelling of 101142223440 in words is "one hundred one billion, one hundred forty-two million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 421425931 842851862 1264277793 1685703724 2107129655 2528555586 3371407448 4214259310 5057111172 6321388965 6742814896 8428518620 10114222344 12642777930 16857037240 20228444688 25285555860 33714074480 50571111720 101142223440