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31613363600130 = 232513269100445981
BaseRepresentation
bin1110011000000100011110…
…10011101011101100000010
311010221012121122221110112100
413030002033103223230002
513120423132040201010
6151122551224211230
76441663422620464
oct714021723535402
9133835548843470
1031613363600130
11a089174659074
123666a6b609b16
131484186b72590
147b4148810134
1539c5096d32c0
hex1cc08f4ebb02

31613363600130 has 96 divisors (see below), whose sum is σ = 88846479998640. Its totient is φ = 7752822520320.

The previous prime is 31613363600099. The next prime is 31613363600131. The reversal of 31613363600130 is 3100636331613.

31613363600130 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 3 + 3 + 636 + 0 + 0 + 13 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 764125984449 + 30849237615681 = 874143^2 + 5554209^2 .

It is a super-2 number, since 2×316133636001302 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31613363600131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49908261 + ... + 50537720.

Almost surely, 231613363600130 is an apocalyptic number.

31613363600130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31613363600130 is an abundant number, since it is smaller than the sum of its proper divisors (57233116398510).

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

31613363600130 is a wasteful number, since it uses less digits than its factorization.

31613363600130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100446276 (or 100446273 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

Adding to 31613363600130 its reverse (3100636331613), we get a palindrome (34713999931743).

The spelling of 31613363600130 in words is "thirty-one trillion, six hundred thirteen billion, three hundred sixty-three million, six hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 269 390 538 585 807 1170 1345 1614 2421 2690 3497 4035 4842 6994 8070 10491 12105 17485 20982 24210 31473 34970 52455 62946 104910 157365 314730 100445981 200891962 301337943 502229905 602675886 904013829 1004459810 1305797753 1506689715 1808027658 2611595506 3013379430 3917393259 4520069145 6528988765 7834786518 9040138290 11752179777 13057977530 19586966295 23504359554 27019968889 39173932590 54039937778 58760898885 81059906667 117521797770 135099844445 162119813334 243179720001 270199688890 351259595557 405299533335 486359440002 702519191114 810599066670 1053778786671 1215898600005 1756297977785 2107557573342 2431797200010 3161336360013 3512595955570 5268893933355 6322672720026 10537787866710 15806681800065 31613363600130