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201125454060 = 223547110364661
BaseRepresentation
bin1011101101010000000…
…0101110000011101100
3201020010210000200020010
42323110000232003230
511243401104012220
6232221252253220
720350035103116
oct2732400560354
9636123020203
10201125454060
117832a091523
1232b90611210
1315c7354291b
149a3d7683b6
1553721871e0
hex2ed402e0ec

201125454060 has 96 divisors (see below), whose sum is σ = 575663542272. Its totient is φ = 52443915520.

The previous prime is 201125454053. The next prime is 201125454091. The reversal of 201125454060 is 60454521102.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3078130 + ... + 3142790.

It is an arithmetic number, because the mean of its divisors is an integer number (5996495232).

Almost surely, 2201125454060 is an apocalyptic number.

201125454060 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 201125454060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287831771136).

201125454060 is an abundant number, since it is smaller than the sum of its proper divisors (374538088212).

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

201125454060 is a wasteful number, since it uses less digits than its factorization.

201125454060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65823 (or 65821 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 201125454060 its reverse (60454521102), we get a palindrome (261579975162).

The spelling of 201125454060 in words is "two hundred one billion, one hundred twenty-five million, four hundred fifty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1103 1410 2206 2820 3309 4412 5515 6618 11030 13236 16545 22060 33090 51841 64661 66180 103682 129322 155523 193983 207364 258644 259205 311046 323305 387966 518410 622092 646610 775932 777615 969915 1036820 1293220 1555230 1939830 3039067 3110460 3879660 6078134 9117201 12156268 15195335 18234402 30390670 36468804 45586005 60781340 71321083 91172010 142642166 182344020 213963249 285284332 356605415 427926498 713210830 855852996 1069816245 1426421660 2139632490 3352090901 4279264980 6704181802 10056272703 13408363604 16760454505 20112545406 33520909010 40225090812 50281363515 67041818020 100562727030 201125454060