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1113111540 = 2232519013253
BaseRepresentation
bin100001001011000…
…1011101111110100
32212120111220222100
41002112023233310
54234424032130
6302241502100
736404202102
oct10226135764
92776456870
101113111540
115213601a2
12270941930
131497c18a8
14a7b92c72
1567ac5c60
hex4258bbf4

1113111540 has 72 divisors (see below), whose sum is σ = 3379252968. Its totient is φ = 296582400.

The previous prime is 1113111539. The next prime is 1113111541. The reversal of 1113111540 is 451113111.

1113111540 is a `hidden beast` number, since 1 + 1 + 13 + 111 + 540 = 666.

1113111540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1113111539) and next prime (1113111541).

It can be written as a sum of positive squares in 4 ways, for example, as 196112016 + 916999524 = 14004^2 + 30282^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113111541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340554 + ... + 343806.

It is an arithmetic number, because the mean of its divisors is an integer number (46934069).

Almost surely, 21113111540 is an apocalyptic number.

1113111540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1113111540 is an abundant number, since it is smaller than the sum of its proper divisors (2266141428).

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

1113111540 is a wasteful number, since it uses less digits than its factorization.

1113111540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 1113111540 is about 33363.3262730202. The cubic root of 1113111540 is about 1036.3653757631.

Adding to 1113111540 its reverse (451113111), we get a palindrome (1564224651).

The spelling of 1113111540 in words is "one billion, one hundred thirteen million, one hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1901 3253 3802 5703 6506 7604 9505 9759 11406 13012 16265 17109 19010 19518 22812 28515 29277 32530 34218 38020 39036 48795 57030 58554 65060 68436 85545 97590 114060 117108 146385 171090 195180 292770 342180 585540 6183953 12367906 18551859 24735812 30919765 37103718 55655577 61839530 74207436 92759295 111311154 123679060 185518590 222622308 278277885 371037180 556555770 1113111540