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203431242112 = 2777316571877
BaseRepresentation
bin1011110101110101110…
…0100110100110000000
3201110002110202211210121
42331131130212212000
511313111344221422
6233242141310024
720461134012220
oct2753534464600
9643073684717
10203431242112
11793026a618a
1233514865314
1316250163457
149bbbaa2080
1554597ed8c7
hex2f5d726980

203431242112 has 128 divisors (see below), whose sum is σ = 470047775040. Its totient is φ = 85892825088.

The previous prime is 203431242073. The next prime is 203431242149. The reversal of 203431242112 is 211242134302.

203431242112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 108380118 + ... + 108381994.

Almost surely, 2203431242112 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 203431242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235023887520).

203431242112 is an abundant number, since it is smaller than the sum of its proper divisors (266616532928).

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

203431242112 is a wasteful number, since it uses less digits than its factorization.

203431242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 203431242112 its reverse (211242134302), we get a palindrome (414673376414).

The spelling of 203431242112 in words is "two hundred three billion, four hundred thirty-one million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 292 448 511 584 896 1022 1168 1657 1877 2044 2336 3314 3754 4088 4672 6628 7508 8176 9344 11599 13139 13256 15016 16352 23198 26278 26512 30032 32704 46396 52556 53024 60064 65408 92792 105112 106048 120128 120961 137021 185584 210224 212096 240256 241922 274042 371168 420448 483844 548084 742336 840896 846727 959147 967688 1096168 1484672 1681792 1693454 1918294 1935376 2192336 3110189 3386908 3836588 3870752 4384672 6220378 6773816 7673176 7741504 8769344 12440756 13547632 15346352 15483008 17538688 21771323 24881512 27095264 30692704 43542646 49763024 54190528 61385408 87085292 99526048 108381056 122770816 174170584 199052096 227043797 348341168 398104192 454087594 696682336 908175188 1393364672 1589306579 1816350376 2786729344 3178613158 3632700752 6357226316 7265401504 12714452632 14530803008 25428905264 29061606016 50857810528 101715621056 203431242112