Search a number
-
+
2130110244340 = 22513229101335317
BaseRepresentation
bin11110111111110100011…
…101101110010111110100
321112122012001020002101121
4132333310131232113310
5234344431210304330
64310320435033324
7306616055222341
oct36776435562764
97478161202347
102130110244340
11751413779141
122a49b573b844
13125b3a228530
14751528557c8
153a62086b17a
hex1eff476e5f4

2130110244340 has 96 divisors (see below), whose sum is σ = 4843276008480. Its totient is φ = 782272567296.

The previous prime is 2130110244337. The next prime is 2130110244371. The reversal of 2130110244340 is 434420110312.

It can be written as a sum of positive squares in 16 ways, for example, as 1019506206436 + 1110604037904 = 1009706^2 + 1053852^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60296362 + ... + 60331678.

It is an arithmetic number, because the mean of its divisors is an integer number (50450791755).

Almost surely, 22130110244340 is an apocalyptic number.

2130110244340 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 2130110244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421638004240).

2130110244340 is an abundant number, since it is smaller than the sum of its proper divisors (2713165764140).

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

2130110244340 is a wasteful number, since it uses less digits than its factorization.

2130110244340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36581 (or 36579 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2130110244340 its reverse (434420110312), we get a palindrome (2564530354652).

The spelling of 2130110244340 in words is "two trillion, one hundred thirty billion, one hundred ten million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1013 1145 2026 2290 2977 4052 4580 5065 5954 10130 11908 13169 14885 20260 26338 29770 35317 52676 59540 65845 70634 131690 141268 176585 231977 263380 353170 459121 463954 706340 918242 927908 1159885 1836484 2295605 2319770 3015701 4591210 4639540 6031402 8087593 9182420 12062804 15078505 16175186 30157010 32350372 35776121 40437965 60314020 71552242 80875930 105138709 143104484 161751860 178880605 210277418 357761210 420554836 465089573 525693545 715522420 930179146 1051387090 1860358292 2102774180 2325447865 4650895730 8192731709 9301791460 16385463418 32770926836 40963658545 81927317090 106505512217 163854634180 213011024434 426022048868 532527561085 1065055122170 2130110244340