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11410530012 = 2232746198221
BaseRepresentation
bin10101010000001111…
…01101111011011100
31002110012220222112200
422220013231323130
5141332043430022
65124131131500
7552522622230
oct125007557334
932405828480
1011410530012
114925a460a2
122265443b90
1310cacb4b0b
147a36165c0
1546bb32bac
hex2a81ededc

11410530012 has 72 divisors (see below), whose sum is σ = 33035594592. Its totient is φ = 3253046400.

The previous prime is 11410529959. The next prime is 11410530049. The reversal of 11410530012 is 21003501411.

11410530012 is a `hidden beast` number, since 114 + 10 + 530 + 0 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67062 + ... + 165282.

Almost surely, 211410530012 is an apocalyptic number.

11410530012 is a gapful number since it is divisible by the number (12) 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 11410530012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16517797296).

11410530012 is an abundant number, since it is smaller than the sum of its proper divisors (21625064580).

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

11410530012 is a wasteful number, since it uses less digits than its factorization.

11410530012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98699 (or 98694 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 11410530012 in words is "eleven billion, four hundred ten million, five hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 461 922 1383 1844 2766 3227 4149 5532 6454 8298 9681 12908 16596 19362 29043 38724 58086 98221 116172 196442 294663 392884 589326 687547 883989 1178652 1375094 1767978 2062641 2750188 3535956 4125282 6187923 8250564 12375846 24751692 45279881 90559762 135839643 181119524 271679286 316959167 407518929 543358572 633918334 815037858 950877501 1267836668 1630075716 1901755002 2852632503 3803510004 5705265006 11410530012