Search a number
-
+
900201981 = 3728389829
BaseRepresentation
bin110101101001111…
…111110111111101
32022201212222222010
4311221333313331
53320422430411
6225154241433
731210406400
oct6551776775
92281788863
10900201981
11422160088
12211586279
131146675c3
14877add37
155406b7a6
hex35a7fdfd

900201981 has 48 divisors (see below), whose sum is σ = 1430654400. Its totient is φ = 501887232.

The previous prime is 900201959. The next prime is 900201983. The reversal of 900201981 is 189102009.

It is not a de Polignac number, because 900201981 - 210 = 900200957 is a prime.

It is a super-2 number, since 2×9002019812 = 1620727213192648722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900201983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085475 + ... + 1086303.

It is an arithmetic number, because the mean of its divisors is an integer number (29805300).

Almost surely, 2900201981 is an apocalyptic number.

It is an amenable number.

900201981 is a deficient number, since it is larger than the sum of its proper divisors (530452419).

900201981 is a wasteful number, since it uses less digits than its factorization.

900201981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 900201981 is about 30003.3661611493. The cubic root of 900201981 is about 965.5616053186.

The spelling of 900201981 in words is "nine hundred million, two hundred one thousand, nine hundred eighty-one".

Divisors: 1 3 7 21 49 83 89 147 249 267 581 623 829 1743 1869 2487 4067 4361 5803 7387 12201 13083 17409 22161 40621 51709 68807 73781 121863 155127 206421 221343 361963 481649 516467 1085889 1444947 1549401 3371543 3615269 6123823 10114629 10845807 18371469 42866761 128600283 300067327 900201981