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2303031331100 = 2252107838925657
BaseRepresentation
bin100001100000110111010…
…111010100100100011100
322011011112012202110020102
4201200313113110210130
5300213102010043400
64521555322040232
7325250156214413
oct41406727244434
98134465673212
102303031331100
1180878a167aa5
12312414649078
131392373c7306
147d67843247a
153ed9186d9d5
hex218375d491c

2303031331100 has 72 divisors (see below), whose sum is σ = 5045082250320. Its totient is φ = 912458718720.

The previous prime is 2303031331079. The next prime is 2303031331129. The reversal of 2303031331100 is 11331303032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89749472 + ... + 89775128.

It is an arithmetic number, because the mean of its divisors is an integer number (70070586810).

Almost surely, 22303031331100 is an apocalyptic number.

2303031331100 is a gapful number since it is divisible by the number (20) 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 2303031331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522541125160).

2303031331100 is an abundant number, since it is smaller than the sum of its proper divisors (2742050919220).

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

2303031331100 is a wasteful number, since it uses less digits than its factorization.

2303031331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34167 (or 34160 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 2303031331100 its reverse (11331303032), we get a palindrome (2314362634132).

The spelling of 2303031331100 in words is "two trillion, three hundred three billion, thirty-one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 5350 8389 10700 16778 25657 33556 41945 51314 83890 102628 128285 167780 209725 256570 419450 513140 641425 838900 897623 1282850 1795246 2565700 2745299 3590492 4488115 5490598 8976230 10981196 13726495 17952460 22440575 27452990 44881150 54905980 68632475 89762300 137264950 215236573 274529900 430473146 860946292 1076182865 2152365730 4304731460 5380914325 10761828650 21523657300 23030313311 46060626622 92121253244 115151566555 230303133110 460606266220 575757832775 1151515665550 2303031331100