Search a number
-
+
201821111912 = 23771107474391
BaseRepresentation
bin1011101111110101111…
…0011100011001101000
3201021221021000202101202
42323331132130121220
511301312201040122
6232414302503332
720403213101120
oct2737536343150
9637837022352
10201821111912
1178656835572
1233145594b48
13160546c17a4
149aa7cd1c80
1553b329ce92
hex2efd79c668

201821111912 has 64 divisors (see below), whose sum is σ = 442664663040. Its totient is φ = 84479371200.

The previous prime is 201821111909. The next prime is 201821111941. The reversal of 201821111912 is 219111128102.

It is a super-2 number, since 2×2018211119122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 188237 + ... + 662627.

It is an arithmetic number, because the mean of its divisors is an integer number (6916635360).

Almost surely, 2201821111912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201821111912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221332331520).

201821111912 is an abundant number, since it is smaller than the sum of its proper divisors (240843551128).

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

201821111912 is a wasteful number, since it uses less digits than its factorization.

201821111912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474582 (or 474578 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 201821111912 in words is "two hundred one billion, eight hundred twenty-one million, one hundred eleven thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 71 107 142 214 284 428 497 568 749 856 994 1498 1988 2996 3976 5992 7597 15194 30388 53179 60776 106358 212716 425432 474391 948782 1897564 3320737 3795128 6641474 13282948 26565896 33681761 50759837 67363522 101519674 134727044 203039348 235772327 269454088 355318859 406078696 471544654 710637718 943089308 1421275436 1886178616 2842550872 3603948427 7207896854 14415793708 25227638989 28831587416 50455277978 100910555956 201821111912