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2131242432 = 263112773643
BaseRepresentation
bin111111100001000…
…0010110111000000
312111112022022222220
41333002002313000
513331044224212
6551251531040
7103546155534
oct17702026700
95445268886
102131242432
119a4037a90
124b58b9a80
1327c7094c7
1416309dbc4
15c718938c
hex7f082dc0

2131242432 has 112 divisors (see below), whose sum is σ = 6175443072. Its totient is φ = 643322880.

The previous prime is 2131242431. The next prime is 2131242437. The reversal of 2131242432 is 2342421312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131242431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583203 + ... + 586845.

Almost surely, 22131242432 is an apocalyptic number.

2131242432 is a gapful number since it is divisible by the number (22) 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 2131242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087721536).

2131242432 is an abundant number, since it is smaller than the sum of its proper divisors (4044200640).

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

2131242432 is a wasteful number, since it uses less digits than its factorization.

2131242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3936 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2131242432 is about 46165.3813154403. The cubic root of 2131242432 is about 1286.8984705302.

Adding to 2131242432 its reverse (2342421312), we get a palindrome (4473663744).

The spelling of 2131242432 in words is "two billion, one hundred thirty-one million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 277 352 528 554 704 831 1056 1108 1662 2112 2216 3047 3324 3643 4432 6094 6648 7286 8864 9141 10929 12188 13296 14572 17728 18282 21858 24376 26592 29144 36564 40073 43716 48752 53184 58288 73128 80146 87432 97504 116576 120219 146256 160292 174864 195008 233152 240438 292512 320584 349728 480876 585024 641168 699456 961752 1009111 1282336 1923504 2018222 2564672 3027333 3847008 4036444 6054666 7694016 8072888 11100221 12109332 16145776 22200442 24218664 32291552 33300663 44400884 48437328 64583104 66601326 88801768 96874656 133202652 177603536 193749312 266405304 355207072 532810608 710414144 1065621216 2131242432