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11020513104 = 243397726111
BaseRepresentation
bin10100100001101111…
…11010111101010000
31001110001001001221000
422100313322331100
5140032222404404
65021315502000
7540045546546
oct122067727520
931401031830
1011020513104
114745879677
1221768b7900
13106825a493
147678cdd96
15447792339
hex290dfaf50

11020513104 has 80 divisors (see below), whose sum is σ = 31666544640. Its totient is φ = 3669603840.

The previous prime is 11020513093. The next prime is 11020513111. The reversal of 11020513104 is 40131502011.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409009 + ... + 435119.

It is an arithmetic number, because the mean of its divisors is an integer number (395831808).

Almost surely, 211020513104 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 11020513104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833272320).

11020513104 is an abundant number, since it is smaller than the sum of its proper divisors (20646031536).

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

11020513104 is a wasteful number, since it uses less digits than its factorization.

11020513104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27105 (or 27093 counting only the distinct ones).

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

The spelling of 11020513104 in words is "eleven billion, twenty million, five hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 977 1954 2931 3908 5862 7816 8793 11724 15632 17586 23448 26111 26379 35172 46896 52222 52758 70344 78333 104444 105516 140688 156666 208888 211032 234999 313332 417776 422064 469998 626664 704997 939996 1253328 1409994 1879992 2819988 3759984 5639976 11279952 25510447 51020894 76531341 102041788 153062682 204083576 229594023 306125364 408167152 459188046 612250728 688782069 918376092 1224501456 1377564138 1836752184 2755128276 3673504368 5510256552 11020513104