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11123240004 = 22332813131171
BaseRepresentation
bin10100101101111111…
…10010110001000100
31001201012100010202000
422112333302301010
5140240022140004
65035425345300
7542433660102
oct122677626104
931635303660
1011123240004
114798862938
1221a5198230
131083617226
147773d0c72
154517d4c39
hex296ff2c44

11123240004 has 96 divisors (see below), whose sum is σ = 29057911680. Its totient is φ = 3679603200.

The previous prime is 11123240003. The next prime is 11123240041. The reversal of 11123240004 is 40004232111.

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

It is not an unprimeable number, because it can be changed into a prime (11123240003) 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, 9498339 + ... + 9499509.

It is an arithmetic number, because the mean of its divisors is an integer number (302686580).

Almost surely, 211123240004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123240004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528955840).

11123240004 is an abundant number, since it is smaller than the sum of its proper divisors (17934671676).

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

11123240004 is a wasteful number, since it uses less digits than its factorization.

11123240004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11123240004 its reverse (40004232111), we get a palindrome (51127472115).

The spelling of 11123240004 in words is "eleven billion, one hundred twenty-three million, two hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 281 313 562 626 843 939 1124 1171 1252 1686 1878 2342 2529 2817 3372 3513 3756 4684 5058 5634 7026 7587 8451 10116 10539 11268 14052 15174 16902 21078 30348 31617 33804 42156 63234 87953 126468 175906 263859 329051 351812 366523 527718 658102 733046 791577 987153 1055436 1099569 1316204 1466092 1583154 1974306 2199138 2374731 2961459 3166308 3298707 3948612 4398276 4749462 5922918 6597414 8884377 9498924 9896121 11845836 13194828 17768754 19792242 35537508 39584484 102992963 205985926 308978889 411971852 617957778 926936667 1235915556 1853873334 2780810001 3707746668 5561620002 11123240004