Search a number
-
+
33023100000 = 253551110007
BaseRepresentation
bin11110110000010101…
…001000010001100000
310011020102210021221210
4132300111020101200
51020112403200000
623100503350120
72246225501322
oct366025102140
9104212707853
1033023100000
1113006751890
126497452340
1331637a6a77
141853b45612
15cd4232350
hex7b0548460

33023100000 has 288 divisors, whose sum is σ = 118211933952. Its totient is φ = 8004800000.

The previous prime is 33023099971. The next prime is 33023100037. The reversal of 33023100000 is 132033.

It is a happy number.

It is a super-2 number, since 2×330231000002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 3294997 + ... + 3305003.

It is an arithmetic number, because the mean of its divisors is an integer number (410458104).

Almost surely, 233023100000 is an apocalyptic number.

33023100000 is a gapful number since it is divisible by the number (30) 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 33023100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59105966976).

33023100000 is an abundant number, since it is smaller than the sum of its proper divisors (85188833952).

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

33023100000 is a wasteful number, since it uses less digits than its factorization.

33023100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10056 (or 10028 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 33023100000 its reverse (132033), we get a palindrome (33023232033).

The spelling of 33023100000 in words is "thirty-three billion, twenty-three million, one hundred thousand".