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31106187280 = 2457139399617
BaseRepresentation
bin11100111110000100…
…101100000000010000
32222021211210001001101
4130332010230000100
51002201140443110
622142345314144
72150561141440
oct347604540020
988254701041
1031106187280
11122126a49a3
126041495954
132c1960109c
141711318120
15c20cd313a
hex73e12c010

31106187280 has 80 divisors (see below), whose sum is σ = 83248421760. Its totient is φ = 10588225536.

The previous prime is 31106187251. The next prime is 31106187289. The reversal of 31106187280 is 8278160113.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (31106187289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121969 + ... + 277648.

It is an arithmetic number, because the mean of its divisors is an integer number (1040605272).

Almost surely, 231106187280 is an apocalyptic number.

It is an amenable number.

31106187280 is an abundant number, since it is smaller than the sum of its proper divisors (52142234480).

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

31106187280 is a wasteful number, since it uses less digits than its factorization.

31106187280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399776 (or 399770 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 31106187280 in words is "thirty-one billion, one hundred six million, one hundred eighty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 139 140 278 280 556 560 695 973 1112 1390 1946 2224 2780 3892 4865 5560 7784 9730 11120 15568 19460 38920 77840 399617 799234 1598468 1998085 2797319 3196936 3996170 5594638 6393872 7992340 11189276 13986595 15984680 22378552 27973190 31969360 44757104 55546763 55946380 111093526 111892760 222187052 223785520 277733815 388827341 444374104 555467630 777654682 888748208 1110935260 1555309364 1944136705 2221870520 3110618728 3888273410 4443741040 6221237456 7776546820 15553093640 31106187280