Search a number
-
+
1001020211112 = 233311345457273
BaseRepresentation
bin11101001000100010111…
…01000011111110101000
310112200210211010112000210
432210101131003332220
5112400042133223422
62043510133101120
7132215133255315
oct16442135037650
93480724115023
101001020211112
113565918a3679
121420077877a0
137351b76125c
1436641b35d0c
151b08b0db10c
hexe911743fa8

1001020211112 has 32 divisors (see below), whose sum is σ = 2583277966080. Its totient is φ = 322909745280.

The previous prime is 1001020211101. The next prime is 1001020211117. The reversal of 1001020211112 is 2111120201001.

1001020211112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1001020211117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 672727893 + ... + 672729380.

It is an arithmetic number, because the mean of its divisors is an integer number (80727436440).

Almost surely, 21001020211112 is an apocalyptic number.

1001020211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001020211112 is an abundant number, since it is smaller than the sum of its proper divisors (1582257754968).

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

1001020211112 is a wasteful number, since it uses less digits than its factorization.

1001020211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345457313 (or 1345457309 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001020211112 its reverse (2111120201001), we get a palindrome (3112140412113).

The spelling of 1001020211112 in words is "one trillion, one billion, twenty million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1345457273 2690914546 4036371819 5381829092 8072743638 10763658184 16145487276 32290974552 41709175463 83418350926 125127526389 166836701852 250255052778 333673403704 500510105556 1001020211112