Search a number
-
+
12108132780 = 22352961114077
BaseRepresentation
bin10110100011011001…
…10111000110101100
31011020211120212122020
423101230313012230
5144244140222110
65321251150140
7606023300442
oct132154670654
934224525566
1012108132780
1151537a8407
12241aba5350
1311ac695013
1482c128b92
154aceced70
hex2d1b371ac

12108132780 has 96 divisors (see below), whose sum is σ = 35647093440. Its totient is φ = 3066362880.

The previous prime is 12108132739. The next prime is 12108132787. The reversal of 12108132780 is 8723180121.

It is a super-2 number, since 2×121081327802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12108132787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49102 + ... + 163178.

It is an arithmetic number, because the mean of its divisors is an integer number (371323890).

Almost surely, 212108132780 is an apocalyptic number.

12108132780 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 12108132780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17823546720).

12108132780 is an abundant number, since it is smaller than the sum of its proper divisors (23538960660).

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

12108132780 is a wasteful number, since it uses less digits than its factorization.

12108132780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114179 (or 114177 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 12108132780 in words is "twelve billion, one hundred eight million, one hundred thirty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 61 87 116 122 145 174 183 244 290 305 348 366 435 580 610 732 870 915 1220 1740 1769 1830 3538 3660 5307 7076 8845 10614 17690 21228 26535 35380 53070 106140 114077 228154 342231 456308 570385 684462 1140770 1368924 1711155 2281540 3308233 3422310 6616466 6844620 6958697 9924699 13232932 13917394 16541165 19849398 20876091 27834788 33082330 34793485 39698796 41752182 49623495 66164660 69586970 83504364 99246990 104380455 139173940 198493980 201802213 208760910 403604426 417521820 605406639 807208852 1009011065 1210813278 2018022130 2421626556 3027033195 4036044260 6054066390 12108132780