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3023120200 = 2352174312063
BaseRepresentation
bin1011010000110001…
…0010011101001000
321210200112102021211
42310030102131020
522142404321300
61215551542504
7134626045342
oct26414223510
97720472254
103023120200
111311521a51
1270452aa34
1339241ac29
14209704292
1512a60e4ba
hexb4312748

3023120200 has 96 divisors (see below), whose sum is σ = 7463093760. Its totient is φ = 1134924800.

The previous prime is 3023120197. The next prime is 3023120201. The reversal of 3023120200 is 20213203.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3023120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464369 + ... + 1466431.

It is an arithmetic number, because the mean of its divisors is an integer number (77740560).

Almost surely, 23023120200 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 3023120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731546880).

3023120200 is an abundant number, since it is smaller than the sum of its proper divisors (4439973560).

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

3023120200 is a wasteful number, since it uses less digits than its factorization.

3023120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3023120200 is about 54982.9082533836. The cubic root of 3023120200 is about 1445.9451039524.

Adding to 3023120200 its reverse (20213203), we get a palindrome (3043333403).

The spelling of 3023120200 in words is "three billion, twenty-three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 431 680 850 862 1700 1724 2063 2155 3400 3448 4126 4310 7327 8252 8620 10315 10775 14654 16504 17240 20630 21550 29308 35071 36635 41260 43100 51575 58616 70142 73270 82520 86200 103150 140284 146540 175355 183175 206300 280568 293080 350710 366350 412600 701420 732700 876775 889153 1402840 1465400 1753550 1778306 3507100 3556612 4445765 7014200 7113224 8891530 15115601 17783060 22228825 30231202 35566120 44457650 60462404 75578005 88915300 120924808 151156010 177830600 302312020 377890025 604624040 755780050 1511560100 3023120200