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2320132120 = 235174916949
BaseRepresentation
bin1000101001001010…
…0110100000011000
312222200201220221021
42022102212200120
514222423211440
61022120252224
7111331540405
oct21222464030
95880656837
102320132120
11a90721669
12549011074
132ac8a3757
141801cd2ac
15d8a4b84a
hex8a4a6818

2320132120 has 64 divisors (see below), whose sum is σ = 5539428000. Its totient is φ = 871557120.

The previous prime is 2320132099. The next prime is 2320132141. The reversal of 2320132120 is 212310232.

It is an interprime number because it is at equal distance from previous prime (2320132099) and next prime (2320132141).

It is a junction number, because it is equal to n+sod(n) for n = 2320132094 and 2320132103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330406 + ... + 337354.

Almost surely, 22320132120 is an apocalyptic number.

2320132120 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 2320132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769714000).

2320132120 is an abundant number, since it is smaller than the sum of its proper divisors (3219295880).

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

2320132120 is a wasteful number, since it uses less digits than its factorization.

2320132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2320132120 is about 48167.7497917434. The cubic root of 2320132120 is about 1323.8463189063.

Adding to 2320132120 its reverse (212310232), we get a palindrome (2532442352).

The spelling of 2320132120 in words is "two billion, three hundred twenty million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 491 680 982 1964 2455 3928 4910 6949 8347 9820 13898 16694 19640 27796 33388 34745 41735 55592 66776 69490 83470 118133 138980 166940 236266 277960 333880 472532 590665 945064 1181330 2362660 3411959 4725320 6823918 13647836 17059795 27295672 34119590 58003303 68239180 116006606 136478360 232013212 290016515 464026424 580033030 1160066060 2320132120