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31412301413100 = 22352152696857533
BaseRepresentation
bin1110010010001101111110…
…00100010011101011101100
311010012222122021222002100120
413021012333010103223230
513104124343130204400
6150450340111524540
76421315053336336
oct711067704235354
9133188567862316
1031412301413100
11a01097825a053
123633ab8229750
13146b22378198a
147a8513634456
1539718cd96ca0
hex1c91bf113aec

31412301413100 has 72 divisors (see below), whose sum is σ = 90892224348240. Its totient is φ = 8376063886080.

The previous prime is 31412301413093. The next prime is 31412301413113. The reversal of 31412301413100 is 131410321413.

It is a happy number.

It is a super-2 number, since 2×314123014131002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151934 + ... + 8009466.

Almost surely, 231412301413100 is an apocalyptic number.

31412301413100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31412301413100 is an abundant number, since it is smaller than the sum of its proper divisors (59479922935140).

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

31412301413100 is a wasteful number, since it uses less digits than its factorization.

31412301413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872819 (or 6872812 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 31412301413100 its reverse (131410321413), we get a palindrome (31543711734513).

The spelling of 31412301413100 in words is "thirty-one trillion, four hundred twelve billion, three hundred one million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 15269 30538 45807 61076 76345 91614 152690 183228 229035 305380 381725 458070 763450 916140 1145175 1526900 2290350 4580700 6857533 13715066 20572599 27430132 34287665 41145198 68575330 82290396 102862995 137150660 171438325 205725990 342876650 411451980 514314975 685753300 1028629950 2057259900 104707671377 209415342754 314123014131 418830685508 523538356885 628246028262 1047076713770 1256492056524 1570615070655 2094153427540 2617691784425 3141230141310 5235383568850 6282460282620 7853075353275 10470767137700 15706150706550 31412301413100