Search a number
-
+
12030415034130 = 2335411086758359
BaseRepresentation
bin1010111100010000110010…
…0111010101011100010010
31120121002121022022220222000
42233010030213111130102
53034101242222043010
641330410225454430
72351111620360263
oct257041447253422
946532538286860
1012030415034130
113919085722149
1214236a97a1416
13693603a5b2bc
142d83bd1c296a
1515ce131cc7c0
hexaf10c9d5712

12030415034130 has 64 divisors (see below), whose sum is σ = 32863572806400. Its totient is φ = 3129864071040.

The previous prime is 12030415034069. The next prime is 12030415034147. The reversal of 12030415034130 is 3143051403021.

It is a happy number.

12030415034130 is a `hidden beast` number, since 1 + 2 + 0 + 304 + 15 + 0 + 341 + 3 + 0 = 666.

It is a super-2 number, since 2×120304150341302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12030415034094 and 12030415034103.

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, 543368110 + ... + 543390249.

It is an arithmetic number, because the mean of its divisors is an integer number (513493325100).

Almost surely, 212030415034130 is an apocalyptic number.

12030415034130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12030415034130 is an abundant number, since it is smaller than the sum of its proper divisors (20833157772270).

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

12030415034130 is a wasteful number, since it uses less digits than its factorization.

12030415034130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086758416 (or 1086758410 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12030415034130 its reverse (3143051403021), we get a palindrome (15173466437151).

The spelling of 12030415034130 in words is "twelve trillion, thirty billion, four hundred fifteen million, thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 1086758359 2173516718 3260275077 5433791795 6520550154 9780825231 10867583590 16301375385 19561650462 29342475693 32602750770 44557092719 48904126155 58684951386 89114185438 97808252310 133671278157 146712378465 222785463595 267342556314 293424756930 401013834471 445570927190 668356390785 802027668942 1203041503413 1336712781570 2005069172355 2406083006826 4010138344710 6015207517065 12030415034130