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33132033132 = 223111012519901
BaseRepresentation
bin11110110110110100…
…101011010001101100
310011112000202200010020
4132312310223101230
51020323300030012
623115354242140
72252020430532
oct366664532154
9104460680106
1033132033132
1113062194970
126507a26350
133180227643
1418643c0152
15cdda9da8c
hex7b6d2b46c

33132033132 has 96 divisors (see below), whose sum is σ = 85519058688. Its totient is φ = 9900000000.

The previous prime is 33132033089. The next prime is 33132033197. The reversal of 33132033132 is 23133023133.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3341382 + ... + 3351282.

It is an arithmetic number, because the mean of its divisors is an integer number (890823528).

Almost surely, 233132033132 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 33132033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42759529344).

33132033132 is an abundant number, since it is smaller than the sum of its proper divisors (52387025556).

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

33132033132 is a wasteful number, since it uses less digits than its factorization.

33132033132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10271 (or 10269 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 33132033132 its reverse (23133023133), we get a palindrome (56265056265).

Subtracting from 33132033132 its reverse (23133023133), we obtain a palindrome (9999009999).

The spelling of 33132033132 in words is "thirty-three billion, one hundred thirty-two million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 251 303 404 502 606 753 1004 1111 1212 1506 2222 2761 3012 3333 4444 5522 6666 8283 9901 11044 13332 16566 19802 25351 29703 33132 39604 50702 59406 76053 101404 108911 118812 152106 217822 278861 304212 326733 435644 557722 653466 836583 1000001 1115444 1306932 1673166 2000002 2485151 3000003 3346332 4000004 4970302 6000006 7455453 9940604 11000011 12000012 14910906 22000022 27336661 29821812 33000033 44000044 54673322 66000066 82009983 109346644 132000132 164019966 251000251 328039932 502000502 753000753 1004001004 1506001506 2761002761 3012003012 5522005522 8283008283 11044011044 16566016566 33132033132