Search a number
-
+
12001001020100 = 2252120010010201
BaseRepresentation
bin1010111010100011001101…
…1001110001101011000100
31120111021200101200012012222
42232220303121301223010
53033111022230120400
641305103405231512
72346020664362321
oct256506331615304
946437611605188
1012001001020100
113907661235044
121419a5ab62598
136908c6bc6181
142d6bcc913b48
1515c290c54185
hexaea33671ac4

12001001020100 has 18 divisors (see below), whose sum is σ = 26042172213834. Its totient is φ = 4800400408000.

The previous prime is 12001001020093. The next prime is 12001001020153. The reversal of 12001001020100 is 102010010021.

12001001020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 117385723456 + 11883615296644 = 342616^2 + 3447262^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60005005001 + ... + 60005005200.

It is an arithmetic number, because the mean of its divisors is an integer number (1446787345213).

Almost surely, 212001001020100 is an apocalyptic number.

12001001020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001001020100 is an abundant number, since it is smaller than the sum of its proper divisors (14041171193734).

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

12001001020100 is a wasteful number, since it uses less digits than its factorization.

12001001020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120010010215 (or 120010010208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12001001020100 its reverse (102010010021), we get a palindrome (12103011030121).

The spelling of 12001001020100 in words is "twelve trillion, one billion, one million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120010010201 240020020402 480040040804 600050051005 1200100102010 2400200204020 3000250255025 6000500510050 12001001020100