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31013117660 = 22572383116041
BaseRepresentation
bin11100111000100001…
…101001111011011100
32222001100122121112102
4130320201221323130
51002003324231120
622125222424232
72145351102440
oct347041517334
988040577472
1031013117660
1112175107358
126016292078
132c03245bc5
141702c0c820
15c17a4bd75
hex738869edc

31013117660 has 96 divisors (see below), whose sum is σ = 78604065792. Its totient is φ = 10048135680.

The previous prime is 31013117657. The next prime is 31013117677. The reversal of 31013117660 is 6671131013.

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 31 ways as a sum of consecutive naturals, for example, 209240 + ... + 325280.

It is an arithmetic number, because the mean of its divisors is an integer number (818792352).

Almost surely, 231013117660 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 31013117660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39302032896).

31013117660 is an abundant number, since it is smaller than the sum of its proper divisors (47590948132).

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

31013117660 is a wasteful number, since it uses less digits than its factorization.

31013117660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116163 (or 116161 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

Adding to 31013117660 its reverse (6671131013), we get a palindrome (37684248673).

The spelling of 31013117660 in words is "thirty-one billion, thirteen million, one hundred seventeen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 83 92 115 140 161 166 230 322 332 415 460 581 644 805 830 1162 1610 1660 1909 2324 2905 3220 3818 5810 7636 9545 11620 13363 19090 26726 38180 53452 66815 116041 133630 232082 267260 464164 580205 812287 1160410 1624574 2320820 2668943 3249148 4061435 5337886 8122870 9631403 10675772 13344715 16245740 18682601 19262806 26689430 37365202 38525612 48157015 53378860 67419821 74730404 93413005 96314030 134839642 186826010 192628060 221522269 269679284 337099105 373652020 443044538 674198210 886089076 1107611345 1348396420 1550655883 2215222690 3101311766 4430445380 6202623532 7753279415 15506558830 31013117660