Search a number
-
+
1212130301100 = 2235223926836301
BaseRepresentation
bin10001101000111000100…
…110001001010010101100
311021212201110000020211120
4101220320212021102230
5124324420324113400
62324502303020540
7153400501363245
oct21507046112254
94255643006746
101212130301100
11428074a55924
12176b03b9a750
138a3c3742074
144294b583ccc
15217e4ae8ca0
hex11a389894ac

1212130301100 has 144 divisors (see below), whose sum is σ = 3523642805760. Its totient is φ = 321711264000.

The previous prime is 1212130301017. The next prime is 1212130301147. The reversal of 1212130301100 is 11030312121.

It is a happy number.

It is a super-2 number, since 2×12121303011002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1212130301100.

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 47 ways as a sum of consecutive naturals, for example, 192367950 + ... + 192374250.

Almost surely, 21212130301100 is an apocalyptic number.

1212130301100 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 1212130301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761821402880).

1212130301100 is an abundant number, since it is smaller than the sum of its proper divisors (2311512504660).

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

1212130301100 is a wasteful number, since it uses less digits than its factorization.

1212130301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1212130301100 its reverse (11030312121), we get a palindrome (1223160613221).

The spelling of 1212130301100 in words is "one trillion, two hundred twelve billion, one hundred thirty million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 239 300 478 717 956 1195 1434 2390 2683 2868 3585 4780 5366 5975 6301 7170 8049 10732 11950 12602 13415 14340 16098 17925 18903 23900 25204 26830 31505 32196 35850 37806 40245 53660 63010 67075 71700 75612 80490 94515 126020 134150 157525 160980 189030 201225 268300 315050 378060 402450 472575 630100 641237 804900 945150 1282474 1505939 1890300 1923711 2564948 3011878 3206185 3847422 4517817 6023756 6412370 7529695 7694844 9035634 9618555 12824740 15059390 16030925 16905583 18071268 19237110 22589085 30118780 32061850 33811166 37648475 38474220 45178170 48092775 50716749 64123700 67622332 75296950 84527915 90356340 96185550 101433498 112945425 150593900 169055830 192371100 202866996 225890850 253583745 338111660 422639575 451781700 507167490 845279150 1014334980 1267918725 1690558300 2535837450 4040434337 5071674900 8080868674 12121303011 16161737348 20202171685 24242606022 40404343370 48485212044 60606515055 80808686740 101010858425 121213030110 202021716850 242426060220 303032575275 404043433700 606065150550 1212130301100