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2313216100 = 22521312714011
BaseRepresentation
bin1000100111100000…
…1110000001100100
312222012201112221101
42021320032001210
514214140403400
61021312125444
7111216004156
oct21170160144
95865645841
102313216100
11a87828548
12546836884
132ab321830
1417d30cad6
15d813256a
hex89e0e064

2313216100 has 72 divisors (see below), whose sum is σ = 5448762368. Its totient is φ = 847324800.

The previous prime is 2313216079. The next prime is 2313216109. The reversal of 2313216100 is 16123132.

It is not an unprimeable number, because it can be changed into a prime (2313216109) 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, 158095 + ... + 172105.

Almost surely, 22313216100 is an apocalyptic number.

2313216100 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 2313216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724381184).

2313216100 is an abundant number, since it is smaller than the sum of its proper divisors (3135546268).

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

2313216100 is a wasteful number, since it uses less digits than its factorization.

2313216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14165 (or 14158 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2313216100 is about 48095.9052311109. The cubic root of 2313216100 is about 1322.5296036483.

Adding to 2313216100 its reverse (16123132), we get a palindrome (2329339232).

The spelling of 2313216100 in words is "two billion, three hundred thirteen million, two hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 127 130 254 260 325 508 635 650 1270 1300 1651 2540 3175 3302 6350 6604 8255 12700 14011 16510 28022 33020 41275 56044 70055 82550 140110 165100 182143 280220 350275 364286 700550 728572 910715 1401100 1779397 1821430 3558794 3642860 4553575 7117588 8896985 9107150 17793970 18214300 23132161 35587940 44484925 46264322 88969850 92528644 115660805 177939700 231321610 462643220 578304025 1156608050 2313216100