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97911112120200 = 23325254395062289
BaseRepresentation
bin10110010000110010110101…
…000011101011011110001000
3110211200012200202020112022100
4112100302311003223132020
5100313133424200321300
6544123424405553400
726423562430133451
oct2620626503533610
9424605622215270
1097911112120200
1129219962288705
12ab939b5415860
134282c942c4bc2
141a26ccd03a128
15b4bd5cde2700
hex590cb50eb788

97911112120200 has 72 divisors (see below), whose sum is σ = 328818151543050. Its totient is φ = 26109629898240.

The previous prime is 97911112120183. The next prime is 97911112120229. The reversal of 97911112120200 is 202121111979.

It can be written as a sum of positive squares in 3 ways, for example, as 74468995129764 + 23442116990436 = 8629542^2 + 4841706^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×979111121202002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27197529345 + ... + 27197532944.

Almost surely, 297911112120200 is an apocalyptic number.

97911112120200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97911112120200 is an abundant number, since it is smaller than the sum of its proper divisors (230907039422850).

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

97911112120200 is a wasteful number, since it uses less digits than its factorization.

97911112120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54395062311 (or 54395062299 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 97911112120200 in words is "ninety-seven trillion, nine hundred eleven billion, one hundred twelve million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 54395062289 108790124578 163185186867 217580249156 271975311445 326370373734 435160498312 489555560601 543950622890 652740747468 815925934335 979111121202 1087901245780 1305481494936 1359876557225 1631851868670 1958222242404 2175802491560 2447777803005 2719753114450 3263703737340 3916444484808 4079629671675 4895555606010 5439506228900 6527407474680 8159259343350 9791111212020 10879012457800 12238889015025 16318518686700 19582222424040 24477778030050 32637037373400 48955556060100 97911112120200