Search a number
-
+
33010020000 = 253254183389
BaseRepresentation
bin11110101111100011…
…001110111010100000
310011012112011202120100
4132233203032322200
51020101031120000
623055315142400
72246006353236
oct365743167240
9104175152510
1033010020000
1112aaa328671
126492ba4a00
133160b77319
1418520dc956
15cd2eeba00
hex7af8ceea0

33010020000 has 180 divisors, whose sum is σ = 117303396210. Its totient is φ = 8802624000.

The previous prime is 33010019927. The next prime is 33010020007. The reversal of 33010020000 is 2001033.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 207014544 + 32803005456 = 14388^2 + 181116^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×330100200002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (33010020007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 88306 + ... + 271694.

Almost surely, 233010020000 is an apocalyptic number.

33010020000 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 33010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58651698105).

33010020000 is an abundant number, since it is smaller than the sum of its proper divisors (84293376210).

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

33010020000 is a wasteful number, since it uses less digits than its factorization.

33010020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183425 (or 183399 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 33010020000 its reverse (2001033), we get a palindrome (33012021033).

The spelling of 33010020000 in words is "thirty-three billion, ten million, twenty thousand".