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101341303143100 = 22524388212671777
BaseRepresentation
bin10111000010101101011100…
…010111111111101010111100
3111021211010121122211001021121
4113002231130113333222330
5101240333442101034400
6555311315120040324
730226444651555516
oct2702553427775274
9437733548731247
10101341303143100
112a321672731079
12b4487594630a4
1344715a028b417
141b04d33a66bb6
15bab1be7dd21a
hex5c2b5c5ffabc

101341303143100 has 72 divisors (see below), whose sum is σ = 225050422826768. Its totient is φ = 39589308057600.

The previous prime is 101341303143077. The next prime is 101341303143107. The reversal of 101341303143100 is 1341303143101.

It is a super-2 number, since 2×1013413031431002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101341303143107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36594412 + ... + 39266188.

Almost surely, 2101341303143100 is an apocalyptic number.

101341303143100 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 101341303143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112525211413384).

101341303143100 is an abundant number, since it is smaller than the sum of its proper divisors (123709119683668).

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

101341303143100 is a wasteful number, since it uses less digits than its factorization.

101341303143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680655 (or 2680648 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 101341303143100 its reverse (1341303143101), we get a palindrome (102682606286201).

Subtracting from 101341303143100 its reverse (1341303143101), we obtain a palindrome (99999999999999).

The spelling of 101341303143100 in words is "one hundred one trillion, three hundred forty-one billion, three hundred three million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 8821 17642 35284 44105 88210 176420 220525 379303 441050 758606 882100 1517212 1896515 2671777 3793030 5343554 7586060 9482575 10687108 13358885 18965150 26717770 37930300 53435540 66794425 114886411 133588850 229772822 267177700 459545644 574432055 1148864110 2297728220 2872160275 5744320550 11488641100 23567744917 47135489834 94270979668 117838724585 235677449170 471354898340 589193622925 1013413031431 1178387245850 2026826062862 2356774491700 4053652125724 5067065157155 10134130314310 20268260628620 25335325785775 50670651571550 101341303143100