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201125404432 = 24312513894153
BaseRepresentation
bin1011101101010000000…
…0100001111100010000
3201020010202221011011001
42323110000201330100
511243401100420212
6232221251231344
720350034505331
oct2732400417420
9636122834131
10201125404432
117832a058207
1232b905a8554
1315c73526164
149a3d754288
155372177657
hex2ed4021f10

201125404432 has 80 divisors (see below), whose sum is σ = 404989079040. Its totient is φ = 96658560000.

The previous prime is 201125404411. The next prime is 201125404433. The reversal of 201125404432 is 234404521102.

It is a self number, because there is not a number n which added to its sum of digits gives 201125404432.

It is not an unprimeable number, because it can be changed into a prime (201125404433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48426868 + ... + 48431020.

It is an arithmetic number, because the mean of its divisors is an integer number (5062363488).

Almost surely, 2201125404432 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 201125404432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202494539520).

201125404432 is an abundant number, since it is smaller than the sum of its proper divisors (203863674608).

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

201125404432 is a wasteful number, since it uses less digits than its factorization.

201125404432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 201125404432 its reverse (234404521102), we get a palindrome (435529925534).

The spelling of 201125404432 in words is "two hundred one billion, one hundred twenty-five million, four hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 62 124 248 251 389 496 502 778 1004 1556 2008 3112 4016 4153 6224 7781 8306 12059 15562 16612 24118 31124 33224 48236 62248 66448 96472 97639 124496 128743 192944 195278 257486 390556 514972 781112 1029944 1042403 1562224 1615517 2059888 2084806 3026809 3231034 4169612 6053618 6462068 8339224 12107236 12924136 16678448 24214472 25848272 32314493 48428944 50081027 64628986 100162054 129257972 200324108 258515944 400648216 405494767 517031888 801296432 810989534 1621979068 3243958136 6487916272 12570337777 25140675554 50281351108 100562702216 201125404432