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1011113532 = 22321113197997
BaseRepresentation
bin111100010001000…
…101111000111100
32121110120220000100
4330101011320330
54032321113112
6244155401100
734025215602
oct7421057074
92543526010
101011113532
11479824620
12242753190
1313162b840
1498401872
155db792dc
hex3c445e3c

1011113532 has 144 divisors (see below), whose sum is σ = 3020969952. Its totient is φ = 281111040.

The previous prime is 1011113531. The next prime is 1011113561. The reversal of 1011113532 is 2353111101.

1011113532 is a `hidden beast` number, since 10 + 11 + 113 + 532 = 666.

1011113532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (1011113531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013658 + ... + 1014654.

It is an arithmetic number, because the mean of its divisors is an integer number (20978958).

Almost surely, 21011113532 is an apocalyptic number.

1011113532 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 1011113532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510484976).

1011113532 is an abundant number, since it is smaller than the sum of its proper divisors (2009856420).

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

1011113532 is a wasteful number, since it uses less digits than its factorization.

1011113532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1011113532 is about 31798.0114472588. The cubic root of 1011113532 is about 1003.6908713755.

Adding to 1011113532 its reverse (2353111101), we get a palindrome (3364224633).

The spelling of 1011113532 in words is "one billion, eleven million, one hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 197 198 234 286 394 396 429 468 572 591 788 858 997 1182 1287 1716 1773 1994 2167 2364 2561 2574 2991 3546 3988 4334 5122 5148 5982 6501 7092 7683 8668 8973 10244 10967 11964 12961 13002 15366 17946 19503 21934 23049 25922 26004 28171 30732 32901 35892 38883 39006 43868 46098 51844 56342 65802 77766 78012 84513 92196 98703 112684 116649 131604 142571 155532 169026 196409 197406 233298 253539 285142 338052 392818 394812 427713 466596 507078 570284 589227 785636 855426 1014156 1178454 1283139 1710852 1767681 2160499 2356908 2553317 2566278 3535362 4320998 5106634 5132556 6481497 7070724 7659951 8641996 10213268 12962994 15319902 19444491 22979853 25925988 28086487 30639804 38888982 45959706 56172974 77777964 84259461 91919412 112345948 168518922 252778383 337037844 505556766 1011113532