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2132112024 = 2333711312479
BaseRepresentation
bin111111100010101…
…0111001010011000
312111120221111212000
41333011113022120
513331310041044
6551322321000
7103556440020
oct17705271230
95446844760
102132112024
119a4581359
124b6059160
1327c952263
14163248a80
15c72abd69
hex7f157298

2132112024 has 128 divisors (see below), whose sum is σ = 6829056000. Its totient is φ = 603735552.

The previous prime is 2132112019. The next prime is 2132112071. The reversal of 2132112024 is 4202112312.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2132111988 and 2132112006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164617 + ... + 177095.

It is an arithmetic number, because the mean of its divisors is an integer number (53352000).

Almost surely, 22132112024 is an apocalyptic number.

2132112024 is a gapful number since it is divisible by the number (24) 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 2132112024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414528000).

2132112024 is an abundant number, since it is smaller than the sum of its proper divisors (4696943976).

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

2132112024 is a wasteful number, since it uses less digits than its factorization.

2132112024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2132112024 is about 46174.7985810442. The cubic root of 2132112024 is about 1287.0734739977.

Adding to 2132112024 its reverse (4202112312), we get a palindrome (6334224336).

The spelling of 2132112024 in words is "two billion, one hundred thirty-two million, one hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 113 126 168 189 216 226 252 339 378 452 504 678 756 791 904 1017 1356 1512 1582 2034 2373 2712 3051 3164 4068 4746 6102 6328 7119 8136 9492 12204 12479 14238 18984 21357 24408 24958 28476 37437 42714 49916 56952 74874 85428 87353 99832 112311 149748 170856 174706 224622 262059 299496 336933 349412 449244 524118 673866 698824 786177 898488 1048236 1347732 1410127 1572354 2096472 2358531 2695464 2820254 3144708 4230381 4717062 5640508 6289416 8460762 9434124 9870889 11281016 12691143 16921524 18868248 19741778 25382286 29612667 33843048 38073429 39483556 50764572 59225334 76146858 78967112 88838001 101529144 118450668 152293716 177676002 236901336 266514003 304587432 355352004 533028006 710704008 1066056012 2132112024