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2313202100 = 2252117328807
BaseRepresentation
bin1000100111100000…
…1010100110110100
312222012200211201212
42021320022212310
514214134431400
61021311540552
7111215615306
oct21170124664
95865624655
102313202100
11a87818a80
1254682a758
132ab318351
1417d307976
15d812d335
hex89e0a9b4

2313202100 has 72 divisors (see below), whose sum is σ = 5551186368. Its totient is φ = 829612800.

The previous prime is 2313202007. The next prime is 2313202103. The reversal of 2313202100 is 12023132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313202103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65897 + ... + 94703.

Almost surely, 22313202100 is an apocalyptic number.

2313202100 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 2313202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775593184).

2313202100 is an abundant number, since it is smaller than the sum of its proper divisors (3237984268).

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

2313202100 is a wasteful number, since it uses less digits than its factorization.

2313202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28905 (or 28898 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2313202100 is about 48095.7596883551. The cubic root of 2313202100 is about 1322.5269355806.

Adding to 2313202100 its reverse (12023132), we get a palindrome (2325225232).

The spelling of 2313202100 in words is "two billion, three hundred thirteen million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 220 275 292 365 550 730 803 1100 1460 1606 1825 3212 3650 4015 7300 8030 16060 20075 28807 40150 57614 80300 115228 144035 288070 316877 576140 633754 720175 1267508 1440350 1584385 2102911 2880700 3168770 4205822 6337540 7921925 8411644 10514555 15843850 21029110 23132021 31687700 42058220 46264042 52572775 92528084 105145550 115660105 210291100 231320210 462640420 578300525 1156601050 2313202100