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1010113033300 = 2252721847111611
BaseRepresentation
bin11101011001011110110…
…11011011010001010100
310120120021111212202010221
432230233123123101110
5113022202414031200
62052012311524124
7132656354055100
oct16545733332124
93516244782127
101010113033300
1135a428523558
12143924989644
137433a510c07
1436c655d0900
151b41e50091a
hexeb2f6db454

1010113033300 has 108 divisors (see below), whose sum is σ = 2551217274144. Its totient is φ = 346133860800.

The previous prime is 1010113033273. The next prime is 1010113033331. The reversal of 1010113033300 is 33303110101.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 8994495 + ... + 9106105.

It is an arithmetic number, because the mean of its divisors is an integer number (23622382168).

Almost surely, 21010113033300 is an apocalyptic number.

1010113033300 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 1010113033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275608637072).

1010113033300 is an abundant number, since it is smaller than the sum of its proper divisors (1541104240844).

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

1010113033300 is a wasteful number, since it uses less digits than its factorization.

1010113033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113486 (or 113472 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1010113033300 its reverse (33303110101), we get a palindrome (1043416143401).

The spelling of 1010113033300 in words is "one trillion, ten billion, one hundred thirteen million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 1847 2450 3694 4900 7388 9235 12929 18470 25858 36940 46175 51716 64645 90503 92350 111611 129290 181006 184700 223222 258580 323225 362012 446444 452515 558055 646450 781277 905030 1116110 1292900 1562554 1810060 2232220 2262575 2790275 3125108 3906385 4525150 5468939 5580550 7812770 9050300 10937878 11161100 15625540 19531925 21875756 27344695 39063850 54689390 78127700 109378780 136723475 206145517 273446950 412291034 546893900 824582068 1030727585 1443018619 2061455170 2886037238 4122910340 5153637925 5772074476 7215093095 10101130333 10307275850 14430186190 20202260666 20614551700 28860372380 36075465475 40404521332 50505651665 72150930950 101011303330 144301861900 202022606660 252528258325 505056516650 1010113033300