Search a number
-
+
2123313303120 = 2435312394992393
BaseRepresentation
bin11110111001011111010…
…101011100111001010000
321111222122100120200212220
4132321133111130321100
5234242021201144440
64303234153021040
7306255453200232
oct36713725347120
97458570520786
102123313303120
11749546006649
122a36193b4780
131252c600ac19
1474aa9c76252
153a373cb28d0
hex1ee5f55ce50

2123313303120 has 320 divisors, whose sum is σ = 6839562240000. Its totient is φ = 544338063360.

The previous prime is 2123313303119. The next prime is 2123313303121. The reversal of 2123313303120 is 213033133212.

It is an interprime number because it is at equal distance from previous prime (2123313303119) and next prime (2123313303121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123313303121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 887300644 + ... + 887303036.

It is an arithmetic number, because the mean of its divisors is an integer number (21373632000).

Almost surely, 22123313303120 is an apocalyptic number.

2123313303120 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 2123313303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419781120000).

2123313303120 is an abundant number, since it is smaller than the sum of its proper divisors (4716248936880).

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

2123313303120 is a wasteful number, since it uses less digits than its factorization.

2123313303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2123313303120 its reverse (213033133212), we get a palindrome (2336346436332).

The spelling of 2123313303120 in words is "two trillion, one hundred twenty-three billion, three hundred thirteen million, three hundred three thousand, one hundred twenty".