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3102001120 = 25527769991
BaseRepresentation
bin1011100011100100…
…1100011111100000
322000011221222120101
42320321030133200
522323103013440
61231450352144
7136604401021
oct27071143740
98004858511
103102001120
111351aa9399
12726a2b654
133a5878b2a
14215d98c48
151324e169a
hexb8e4c7e0

3102001120 has 48 divisors (see below), whose sum is σ = 7355039328. Its totient is φ = 1236303360.

The previous prime is 3102001061. The next prime is 3102001129. The reversal of 3102001120 is 211002013.

3102001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 3102001097 and 3102001106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3102001129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9325 + ... + 79315.

It is an arithmetic number, because the mean of its divisors is an integer number (153229986).

Almost surely, 23102001120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677519664).

3102001120 is an abundant number, since it is smaller than the sum of its proper divisors (4253038208).

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

3102001120 is a wasteful number, since it uses less digits than its factorization.

3102001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70283 (or 70275 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 3102001120 is about 55695.6113172304. The cubic root of 3102001120 is about 1458.4134137758.

Adding to 3102001120 its reverse (211002013), we get a palindrome (3313003133).

The spelling of 3102001120 in words is "three billion, one hundred two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 277 554 1108 1385 2216 2770 4432 5540 8864 11080 22160 44320 69991 139982 279964 349955 559928 699910 1119856 1399820 2239712 2799640 5599280 11198560 19387507 38775014 77550028 96937535 155100056 193875070 310200112 387750140 620400224 775500280 1551000560 3102001120