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101141413044 = 22375350944633
BaseRepresentation
bin101111000110001111…
…1110111110010110100
3100200001201102010120220
41132030133313302310
53124114200204134
6114244055254340
710210243553220
oct1361437676264
9320051363526
10101141413044
1139991766671
121772807a3b0
1396cb130189
144c7689d780
15296e551149
hex178c7f7cb4

101141413044 has 96 divisors (see below), whose sum is σ = 275345360640. Its totient is φ = 28295973888.

The previous prime is 101141413039. The next prime is 101141413049. The reversal of 101141413044 is 440314141101.

It is an interprime number because it is at equal distance from previous prime (101141413039) and next prime (101141413049).

It is a super-3 number, since 3×1011414130443 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141413049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2243752 + ... + 2288384.

It is an arithmetic number, because the mean of its divisors is an integer number (2868180840).

Almost surely, 2101141413044 is an apocalyptic number.

101141413044 is a gapful number since it is divisible by the number (14) 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 101141413044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137672680320).

101141413044 is an abundant number, since it is smaller than the sum of its proper divisors (174203947596).

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

101141413044 is a wasteful number, since it uses less digits than its factorization.

101141413044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45209 (or 45207 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101141413044 its reverse (440314141101), we get a palindrome (541455554145).

The spelling of 101141413044 in words is "one hundred one billion, one hundred forty-one million, four hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 509 636 742 1018 1113 1484 1527 2036 2226 3054 3563 4452 6108 7126 10689 14252 21378 26977 42756 44633 53954 80931 89266 107908 133899 161862 178532 188839 267798 312431 323724 377678 535596 566517 624862 755356 937293 1133034 1249724 1874586 2266068 2365549 3749172 4731098 7096647 9462196 14193294 16558843 22718197 28386588 33117686 45436394 49676529 66235372 68154591 90872788 99353058 136309182 159027379 198706116 272618364 318054758 477082137 636109516 954164274 1204064441 1908328548 2408128882 3612193323 4816257764 7224386646 8428451087 14448773292 16856902174 25285353261 33713804348 50570706522 101141413044