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31301105440 = 2551171250489
BaseRepresentation
bin11101001001101100…
…001111011100100000
32222210102112220111111
4131021230033130200
51003101040333230
622213551153104
72155446002113
oct351154173440
988712486444
1031301105440
1112302726890
126096815794
132c4aac9287
14172d17657a
15c32e8692a
hex749b0f720

31301105440 has 96 divisors (see below), whose sum is σ = 81808030080. Its totient is φ = 11221862400.

The previous prime is 31301105393. The next prime is 31301105453. The reversal of 31301105440 is 4450110313.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 285 + ... + 250204.

It is an arithmetic number, because the mean of its divisors is an integer number (852166980).

Almost surely, 231301105440 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 31301105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40904015040).

31301105440 is an abundant number, since it is smaller than the sum of its proper divisors (50506924640).

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

31301105440 is a wasteful number, since it uses less digits than its factorization.

31301105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250586 (or 250578 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 31301105440 its reverse (4450110313), we get a palindrome (35751215753).

The spelling of 31301105440 in words is "thirty-one billion, three hundred one million, one hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 71 80 88 110 142 160 176 220 284 352 355 440 568 710 781 880 1136 1420 1562 1760 2272 2840 3124 3905 5680 6248 7810 11360 12496 15620 24992 31240 62480 124960 250489 500978 1001956 1252445 2003912 2504890 2755379 4007824 5009780 5510758 8015648 10019560 11021516 13776895 17784719 20039120 22043032 27553790 35569438 40078240 44086064 55107580 71138876 88172128 88923595 110215160 142277752 177847190 195631909 220430320 284555504 355694380 391263818 440860640 569111008 711388760 782527636 978159545 1422777520 1565055272 1956319090 2845555040 3130110544 3912638180 6260221088 7825276360 15650552720 31301105440