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201002200000 = 26557143573
BaseRepresentation
bin1011101100110010101…
…0100010101111000000
3201012211012002201102221
42323030222202233000
511243123030400000
6232201130420424
720344010336620
oct2731452425700
9635735081387
10201002200000
1178276557968
1232b57291714
1315c53b49824
149a2b242880
15536643c61a
hex2eccaa2bc0

201002200000 has 168 divisors, whose sum is σ = 569772844704. Its totient is φ = 68914560000.

The previous prime is 201002199977. The next prime is 201002200019. The reversal of 201002200000 is 2200102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1328214 + ... + 1471786.

It is an arithmetic number, because the mean of its divisors is an integer number (3391505028).

Almost surely, 2201002200000 is an apocalyptic number.

201002200000 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 201002200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284886422352).

201002200000 is an abundant number, since it is smaller than the sum of its proper divisors (368770644704).

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

201002200000 is an frugal number, since it uses more digits than its factorization.

201002200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143617 (or 143587 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 201002200000 its reverse (2200102), we get a palindrome (201004400102).

It can be divided in two parts, 20100 and 2200000, that added together give a square (2220100 = 14902).

The spelling of 201002200000 in words is "two hundred one billion, two million, two hundred thousand".