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2152412010 = 2325710133827
BaseRepresentation
bin1000000001001011…
…0011001101101010
312120000010212012100
42000102303031222
513402004141020
6553325354230
7104224125450
oct20022631552
95500125170
102152412010
11a04a87001
12500a08976
13283c0c098
14165c109d0
15c8e6ba90
hex804b336a

2152412010 has 96 divisors (see below), whose sum is σ = 6459253632. Its totient is φ = 487094400.

The previous prime is 2152411997. The next prime is 2152412021. The reversal of 2152412010 is 102142512.

2152412010 is a `hidden beast` number, since 21 + 524 + 120 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46717 + ... + 80543.

It is an arithmetic number, because the mean of its divisors is an integer number (67283892).

Almost surely, 22152412010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152412010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229626816).

2152412010 is an abundant number, since it is smaller than the sum of its proper divisors (4306841622).

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

2152412010 is a wasteful number, since it uses less digits than its factorization.

2152412010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33948 (or 33945 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2152412010 is about 46394.0945595450. The cubic root of 2152412010 is about 1291.1453501847.

Adding to 2152412010 its reverse (102142512), we get a palindrome (2254554522).

The spelling of 2152412010 in words is "two billion, one hundred fifty-two million, four hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 101 105 126 202 210 303 315 505 606 630 707 909 1010 1414 1515 1818 2121 3030 3535 4242 4545 6363 7070 9090 10605 12726 21210 31815 33827 63630 67654 101481 169135 202962 236789 304443 338270 473578 507405 608886 710367 1014810 1183945 1420734 1522215 2131101 2367890 3044430 3416527 3551835 4262202 6833054 7103670 10249581 10655505 17082635 20499162 21311010 23915689 30748743 34165270 47831378 51247905 61497486 71747067 102495810 119578445 143494134 153743715 215241201 239156890 307487430 358735335 430482402 717470670 1076206005 2152412010