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1201113432 = 2332167191523
BaseRepresentation
bin100011110010111…
…1000100101011000
310002201002212212200
41013211320211120
54424441112212
6315104010200
741523203301
oct10745704530
93081085780
101201113432
11566aa7332
12296300960
13161ac420c
14b573d7a8
15706aa6dc
hex47978958

1201113432 has 96 divisors (see below), whose sum is σ = 3295918080. Its totient is φ = 395133120.

The previous prime is 1201113379. The next prime is 1201113439. The reversal of 1201113432 is 2343111021.

1201113432 is a `hidden beast` number, since 120 + 1 + 113 + 432 = 666.

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 (1201113439) 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, 2296323 + ... + 2296845.

It is an arithmetic number, because the mean of its divisors is an integer number (34332480).

Almost surely, 21201113432 is an apocalyptic number.

1201113432 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 1201113432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647959040).

1201113432 is an abundant number, since it is smaller than the sum of its proper divisors (2094804648).

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

1201113432 is a wasteful number, since it uses less digits than its factorization.

1201113432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1201113432 is about 34657.0834318181. The cubic root of 1201113432 is about 1062.9871337096.

Adding to 1201113432 its reverse (2343111021), we get a palindrome (3544224453).

The spelling of 1201113432 in words is "one billion, two hundred one million, one hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 191 334 382 501 523 573 668 764 1002 1046 1146 1336 1503 1528 1569 1719 2004 2092 2292 3006 3138 3438 4008 4184 4584 4707 6012 6276 6876 9414 12024 12552 13752 18828 31897 37656 63794 87341 95691 99893 127588 174682 191382 199786 255176 262023 287073 299679 349364 382764 399572 524046 574146 599358 698728 765528 786069 799144 899037 1048092 1148292 1198716 1572138 1798074 2096184 2296584 2397432 3144276 3596148 6288552 7192296 16682131 33364262 50046393 66728524 100092786 133457048 150139179 200185572 300278358 400371144 600556716 1201113432