Search a number
-
+
201002030100 = 2232522337673917
BaseRepresentation
bin1011101100110010100…
…1111001010000010100
3201012211011210002101100
42323030221321100110
511243123004430400
6232201123030100
720344006031364
oct2731451712024
9635734702340
10201002030100
1178276451253
1232b5720b330
1315c53aba3b1
149a2b1da9a4
155366407100
hex2ecca79414

201002030100 has 432 divisors, whose sum is σ = 685442878848. Its totient is φ = 49127316480.

The previous prime is 201002030087. The next prime is 201002030149. The reversal of 201002030100 is 1030200102.

It is a happy number.

It is a super-2 number, since 2×2010020301002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51313342 + ... + 51317258.

Almost surely, 2201002030100 is an apocalyptic number.

201002030100 is a gapful number since it is divisible by the number (20) 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 201002030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342721439424).

201002030100 is an abundant number, since it is smaller than the sum of its proper divisors (484440848748).

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

201002030100 is a wasteful number, since it uses less digits than its factorization.

201002030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 201002030100 its reverse (1030200102), we get a palindrome (202032230202).

The spelling of 201002030100 in words is "two hundred one billion, two million, thirty thousand, one hundred".