Search a number
-
+
1001120120202 = 233781111514831
BaseRepresentation
bin11101001000101110110…
…10001011110110001010
310112201001210010102112110
432210113122023312022
5112400243222321302
62043524102323150
7132220455421416
oct16442732136612
93481053112473
101001120120202
11356633232874
121420351294b6
1373536372567
1436651101d46
151b094c73b6c
hexe91768bd8a

1001120120202 has 64 divisors (see below), whose sum is σ = 2061105758208. Its totient is φ = 323938440000.

The previous prime is 1001120120171. The next prime is 1001120120219. The reversal of 1001120120202 is 2020210211001.

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, 207225927 + ... + 207230757.

It is an arithmetic number, because the mean of its divisors is an integer number (32204777472).

Almost surely, 21001120120202 is an apocalyptic number.

1001120120202 is an abundant number, since it is smaller than the sum of its proper divisors (1059985638006).

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

1001120120202 is a wasteful number, since it uses less digits than its factorization.

1001120120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001120120202 its reverse (2020210211001), we get a palindrome (3021330331203).

The spelling of 1001120120202 in words is "one trillion, one billion, one hundred twenty million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 37 74 111 222 811 1151 1622 2302 2433 3453 4831 4866 6906 9662 14493 28986 30007 42587 60014 85174 90021 127761 178747 180042 255522 357494 536241 933461 1072482 1866922 2800383 3917941 5560481 5600766 7835882 11120962 11753823 16681443 23507646 33362886 34538057 69076114 103614171 144963817 205737797 207228342 289927634 411475594 434891451 617213391 869782902 1234426782 4509550091 9019100182 13528650273 27057300546 166853353367 333706706734 500560060101 1001120120202