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2313302100 = 2235211368239
BaseRepresentation
bin1000100111100010…
…0011000001010100
312222012212220220120
42021320203001110
514214201131400
61021314031540
7111216512664
oct21170430124
95865786816
102313302100
11a8788711a
125468785b0
132ab351a15
1417d3321a4
15d814cca0
hex89e23054

2313302100 has 72 divisors (see below), whose sum is σ = 6752484480. Its totient is φ = 611412480.

The previous prime is 2313302083. The next prime is 2313302141. The reversal of 2313302100 is 12033132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2313302100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220 + ... + 68019.

Almost surely, 22313302100 is an apocalyptic number.

2313302100 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 2313302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376242240).

2313302100 is an abundant number, since it is smaller than the sum of its proper divisors (4439182380).

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

2313302100 is a wasteful number, since it uses less digits than its factorization.

2313302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68369 (or 68362 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2313302100 is about 48096.7992698059. The cubic root of 2313302100 is about 1322.5459929712.

Adding to 2313302100 its reverse (12033132), we get a palindrome (2325335232).

The spelling of 2313302100 in words is "two billion, three hundred thirteen million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1356 1695 2260 2825 3390 5650 6780 8475 11300 16950 33900 68239 136478 204717 272956 341195 409434 682390 818868 1023585 1364780 1705975 2047170 3411950 4094340 5117925 6823900 7711007 10235850 15422014 20471700 23133021 30844028 38555035 46266042 77110070 92532084 115665105 154220140 192775175 231330210 385550350 462660420 578325525 771100700 1156651050 2313302100