Search a number
-
+
201012303000 = 23353241127791
BaseRepresentation
bin1011101100110101000…
…1000101010010011000
3201012211220010000011010
42323031101011102120
511243133122144000
6232202131133520
720344162245465
oct2731521052230
9635756100133
10201012303000
1178281228453
1232b5a7442a0
1315c55c76232
149a2c71266c
155367285d50
hex2ecd445498

201012303000 has 128 divisors (see below), whose sum is σ = 627441085440. Its totient is φ = 53579120000.

The previous prime is 201012302993. The next prime is 201012303061. The reversal of 201012303000 is 303210102.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7219105 + ... + 7246895.

It is an arithmetic number, because the mean of its divisors is an integer number (4901883480).

Almost surely, 2201012303000 is an apocalyptic number.

201012303000 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 201012303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313720542720).

201012303000 is an abundant number, since it is smaller than the sum of its proper divisors (426428782440).

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

201012303000 is a wasteful number, since it uses less digits than its factorization.

201012303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30226 (or 30212 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 201012303000 its reverse (303210102), we get a palindrome (201315513102).

The spelling of 201012303000 in words is "two hundred one billion, twelve million, three hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2411 3000 4822 7233 9644 12055 14466 19288 24110 27791 28932 36165 48220 55582 57864 60275 72330 83373 96440 111164 120550 138955 144660 166746 180825 222328 241100 277910 289320 301375 333492 361650 416865 482200 555820 602750 666984 694775 723300 833730 904125 1111640 1205500 1389550 1446600 1667460 1808250 2084325 2411000 2779100 3334920 3473875 3616500 4168650 5558200 6947750 7233000 8337300 10421625 13895500 16674600 20843250 27791000 41686500 67004101 83373000 134008202 201012303 268016404 335020505 402024606 536032808 670041010 804049212 1005061515 1340082020 1608098424 1675102525 2010123030 2680164040 3350205050 4020246060 5025307575 6700410100 8040492120 8375512625 10050615150 13400820200 16751025250 20101230300 25126537875 33502050500 40202460600 50253075750 67004101000 100506151500 201012303000