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201042020232 = 233243914294451
BaseRepresentation
bin1011101100111100001…
…0011100011110001000
3201012220222000210112100
42323033002130132020
511243213224121412
6232205112113400
720345002655604
oct2731702343610
9635828023470
10201042020232
1178296a85449
1232b68695860
1315c5c17c5b1
149a3264a504
155369ba5edc
hex2ecf09c788

201042020232 has 96 divisors (see below), whose sum is σ = 546233688000. Its totient is φ = 66799555200.

The previous prime is 201042020227. The next prime is 201042020237. The reversal of 201042020232 is 232020240102.

201042020232 is a `hidden beast` number, since 2 + 0 + 10 + 420 + 2 + 0 + 232 = 666.

201042020232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201042020227) and next prime (201042020237).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201042020237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45165607 + ... + 45170057.

It is an arithmetic number, because the mean of its divisors is an integer number (5689934250).

Almost surely, 2201042020232 is an apocalyptic number.

It is an amenable number.

201042020232 is an abundant number, since it is smaller than the sum of its proper divisors (345191667768).

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

201042020232 is a wasteful number, since it uses less digits than its factorization.

201042020232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 201042020232 its reverse (232020240102), we get a palindrome (433062260334).

The spelling of 201042020232 in words is "two hundred one billion, forty-two million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 439 878 1317 1429 1756 2634 2858 3512 3951 4287 4451 5268 5716 7902 8574 8902 10536 11432 12861 13353 15804 17148 17804 25722 26706 31608 34296 35608 40059 51444 53412 80118 102888 106824 160236 320472 627331 1254662 1881993 1953989 2509324 3763986 3907978 5018648 5645979 5861967 6360479 7527972 7815956 11291958 11723934 12720958 15055944 15631912 17585901 19081437 22583916 23447868 25441916 35171802 38162874 45167832 46895736 50883832 57244311 70343604 76325748 114488622 140687208 152651496 228977244 457954488 2792250281 5584500562 8376750843 11169001124 16753501686 22338002248 25130252529 33507003372 50260505058 67014006744 100521010116 201042020232