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31201010442 = 23274347122527
BaseRepresentation
bin11101000011101110…
…011010001100001010
32222112110012112222100
4131003232122030022
51002344424313232
622200013534230
72153122133010
oct350356321412
988473175870
1031201010442
111226117aa48
1260691a4376
132c33151474
14171db5c8b0
15c292b3c7c
hex743b9a30a

31201010442 has 96 divisors (see below), whose sum is σ = 80739090432. Its totient is φ = 8521928352.

The previous prime is 31201010437. The next prime is 31201010443. The reversal of 31201010442 is 24401010213.

31201010442 is a `hidden beast` number, since 3 + 120 + 101 + 0 + 442 = 666.

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 (31201010443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 193383 + ... + 315909.

It is an arithmetic number, because the mean of its divisors is an integer number (841032192).

Almost surely, 231201010442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31201010442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40369545216).

31201010442 is an abundant number, since it is smaller than the sum of its proper divisors (49538079990).

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

31201010442 is a wasteful number, since it uses less digits than its factorization.

31201010442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122632 (or 122629 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31201010442 its reverse (24401010213), we get a palindrome (55602020655).

The spelling of 31201010442 in words is "thirty-one billion, two hundred one million, ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 47 63 86 94 126 129 141 258 282 301 329 387 423 602 658 774 846 903 987 1806 1974 2021 2709 2961 4042 5418 5922 6063 12126 14147 18189 28294 36378 42441 84882 122527 127323 245054 254646 367581 735162 857689 1102743 1715378 2205486 2573067 5146134 5268661 5758769 7719201 10537322 11517538 15438402 15805983 17276307 31611966 34552614 36880627 40311383 47417949 51828921 73761254 80622766 94835898 103657842 110641881 120934149 221283762 241868298 247627067 331925643 362802447 495254134 663851286 725604894 742881201 1485762402 1733389469 2228643603 3466778938 4457287206 5200168407 10400336814 15600505221 31201010442