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11146433130 = 23257127139313
BaseRepresentation
bin10100110000110000…
…10001001001101010
31001202210222110201200
422120120101021222
5140311441330010
65042014425030
7543135055410
oct123030211152
931683873650
1011146433130
1147aa964208
1221b0b02176
131088377b81
1477a50b2b0
15453866cc0
hex29861126a

11146433130 has 96 divisors (see below), whose sum is σ = 33381863424. Its totient is φ = 2527676928.

The previous prime is 11146433093. The next prime is 11146433147. The reversal of 11146433130 is 3133464111.

11146433130 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 643 + 3 + 13 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11146433094 and 11146433103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10354 + ... + 149666.

It is an arithmetic number, because the mean of its divisors is an integer number (347727744).

Almost surely, 211146433130 is an apocalyptic number.

11146433130 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 11146433130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16690931712).

11146433130 is an abundant number, since it is smaller than the sum of its proper divisors (22235430294).

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

11146433130 is a wasteful number, since it uses less digits than its factorization.

11146433130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139460 (or 139457 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11146433130 its reverse (3133464111), we get a palindrome (14279897241).

The spelling of 11146433130 in words is "eleven billion, one hundred forty-six million, four hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 127 210 254 315 381 630 635 762 889 1143 1270 1778 1905 2286 2667 3810 4445 5334 5715 8001 8890 11430 13335 16002 26670 40005 80010 139313 278626 417939 696565 835878 975191 1253817 1393130 1950382 2089695 2507634 2925573 4179390 4875955 5851146 6269085 8776719 9751910 12538170 14627865 17553438 17692751 29255730 35385502 43883595 53078253 87767190 88463755 106156506 123849257 159234759 176927510 247698514 265391265 318469518 371547771 530782530 619246285 743095542 796173795 1114643313 1238492570 1592347590 1857738855 2229286626 3715477710 5573216565 11146433130