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2303034100 = 225271547593
BaseRepresentation
bin1000100101000101…
…1000001011110100
312221111120020212021
42021101120023310
514204034042400
61020310002524
7111033316063
oct21121301364
95844506767
102303034100
11a82003674
12543346444
132a9198193
1417bc1c1da
15d72c071a
hex894582f4

2303034100 has 72 divisors (see below), whose sum is σ = 5085799488. Its totient is φ = 905049600.

The previous prime is 2303034059. The next prime is 2303034109. The reversal of 2303034100 is 14303032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303034109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3883404 + ... + 3883996.

It is an arithmetic number, because the mean of its divisors is an integer number (70636104).

Almost surely, 22303034100 is an apocalyptic number.

2303034100 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 2303034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542899744).

2303034100 is an abundant number, since it is smaller than the sum of its proper divisors (2782765388).

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

2303034100 is a wasteful number, since it uses less digits than its factorization.

2303034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2303034100 is about 47989.9374869357. The cubic root of 2303034100 is about 1320.5863059630.

Adding to 2303034100 its reverse (14303032), we get a palindrome (2317337132).

The spelling of 2303034100 in words is "two billion, three hundred three million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 547 593 710 1094 1186 1420 1775 2188 2372 2735 2965 3550 5470 5930 7100 10940 11860 13675 14825 27350 29650 38837 42103 54700 59300 77674 84206 155348 168412 194185 210515 324371 388370 421030 648742 776740 842060 970925 1052575 1297484 1621855 1941850 2105150 3243710 3883700 4210300 6487420 8109275 16218550 23030341 32437100 46060682 92121364 115151705 230303410 460606820 575758525 1151517050 2303034100