Search a number
-
+
1130211002240 = 2754194639103
BaseRepresentation
bin10000011100100101110…
…100110100011110000000
311000001021100101200202122
4100130211310310132000
5122004133004032430
62223113424103412
7144440453003165
oct20344564643600
94001240350678
101130211002240
113a6357712141
12163061464b68
1382769aaa468
143c9b995a06c
151e5ecda8ee5
hex10725d34780

1130211002240 has 128 divisors (see below), whose sum is σ = 2714506905600. Its totient is φ = 449981908992.

The previous prime is 1130211002231. The next prime is 1130211002251. The reversal of 1130211002240 is 422001120311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124153529 + ... + 124162631.

It is an arithmetic number, because the mean of its divisors is an integer number (21207085200).

Almost surely, 21130211002240 is an apocalyptic number.

1130211002240 is a gapful number since it is divisible by the number (10) 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 1130211002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357253452800).

1130211002240 is an abundant number, since it is smaller than the sum of its proper divisors (1584295903360).

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

1130211002240 is an equidigital number, since it uses as much as digits as its factorization.

1130211002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1130211002240 its reverse (422001120311), we get a palindrome (1552212122551).

The spelling of 1130211002240 in words is "one trillion, one hundred thirty billion, two hundred eleven million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 419 463 640 838 926 1676 1852 2095 2315 3352 3704 4190 4630 6704 7408 8380 9103 9260 13408 14816 16760 18206 18520 26816 29632 33520 36412 37040 45515 53632 59264 67040 72824 74080 91030 134080 145648 148160 182060 193997 268160 291296 296320 364120 387994 582592 728240 775988 969985 1165184 1456480 1551976 1939970 2912960 3103952 3814157 3879940 4214689 5825920 6207904 7628314 7759880 8429378 12415808 15256628 15519760 16858756 19070785 21073445 24831616 30513256 31039520 33717512 38141570 42146890 61026512 62079040 67435024 76283140 84293780 122053024 124158080 134870048 152566280 168587560 244106048 269740096 305132560 337175120 488212096 539480192 610265120 674350240 1220530240 1348700480 1765954691 2441060480 2697400960 3531909382 7063818764 8829773455 14127637528 17659546910 28255275056 35319093820 56510550112 70638187640 113021100224 141276375280 226042200448 282552750560 565105501120 1130211002240