Search a number
-
+
1230320201130 = 2325101237756941
BaseRepresentation
bin10001111001110100110…
…011000110110110101010
311100121200010111220201200
4101321310303012312222
5130124143432414010
62341111251425030
7154613324105616
oct21716463066652
94317603456650
101230320201130
11434859751a59
1217a53b8b5176
138c032101717
14437952c4346
152200b9b3cc0
hex11e74cc6daa

1230320201130 has 96 divisors (see below), whose sum is σ = 3231919957968. Its totient is φ = 324694656000.

The previous prime is 1230320201093. The next prime is 1230320201137. The reversal of 1230320201130 is 311020230321.

1230320201130 is a `hidden beast` number, since 1 + 230 + 320 + 2 + 0 + 113 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 826613727489 + 403706473641 = 909183^2 + 635379^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1230320201137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21578460 + ... + 21635400.

Almost surely, 21230320201130 is an apocalyptic number.

1230320201130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230320201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615959978984).

1230320201130 is an abundant number, since it is smaller than the sum of its proper divisors (2001599756838).

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

1230320201130 is a wasteful number, since it uses less digits than its factorization.

1230320201130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59432 (or 59429 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1230320201130 its reverse (311020230321), we get a palindrome (1541340431451).

The spelling of 1230320201130 in words is "one trillion, two hundred thirty billion, three hundred twenty million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 2377 3030 4545 4754 7131 9090 11885 14262 21393 23770 35655 42786 56941 71310 106965 113882 170823 213930 240077 284705 341646 480154 512469 569410 720231 854115 1024938 1200385 1440462 1708230 2160693 2400770 2562345 3601155 4321386 5124690 5751041 7202310 10803465 11502082 17253123 21606930 28755205 34506246 51759369 57510410 86265615 103518738 135348757 172531230 258796845 270697514 406046271 517593690 676743785 812092542 1218138813 1353487570 2030231355 2436277626 4060462710 6090694065 12181388130 13670224457 27340448914 41010673371 68351122285 82021346742 123032020113 136702244570 205053366855 246064040226 410106733710 615160100565 1230320201130