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2124336132 = 22353170501
BaseRepresentation
bin111111010011110…
…1100110000000100
312111001022110100000
41332213230300010
513322312224012
6550443521300
7103433362542
oct17647546004
95431273300
102124336132
119a01501a6
124b3529230
1327b15bb39
141621c2d92
15c6772ddc
hex7e9ecc04

2124336132 has 72 divisors (see below), whose sum is σ = 5748451072. Its totient is φ = 685260000.

The previous prime is 2124336121. The next prime is 2124336187. The reversal of 2124336132 is 2316334212.

2124336132 is a `hidden beast` number, since 2 + 1 + 2 + 43 + 3 + 613 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 2124336096 and 2124336105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5119 + ... + 65382.

Almost surely, 22124336132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124336132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874225536).

2124336132 is an abundant number, since it is smaller than the sum of its proper divisors (3624114940).

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

2124336132 is a wasteful number, since it uses less digits than its factorization.

2124336132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70551 (or 70537 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 2124336132 is about 46090.5210645313. The cubic root of 2124336132 is about 1285.5068996932.

It can be divided in two parts, 21243 and 36132, that added together give a palindrome (57375).

The spelling of 2124336132 in words is "two billion, one hundred twenty-four million, three hundred thirty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 2511 3348 5022 7533 10044 15066 30132 70501 141002 211503 282004 423006 634509 846012 1269018 1903527 2185531 2538036 3807054 4371062 5710581 6556593 7614108 8742124 11421162 13113186 17131743 19669779 22842324 26226372 34263486 39339558 59009337 68526972 78679116 118018674 177028011 236037348 354056022 531084033 708112044 1062168066 2124336132