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211240200131040 = 25351019431878067
BaseRepresentation
bin110000000001111100110001…
…000101110101000111100000
31000200221100212202012200001110
4300001330301011311013200
5210141424412213143130
62025134224103303320
762331413040110313
oct6001746105650740
91020840782180043
10211240200131040
1161342513a53953
121b83792374ab40
1390b3b33386492
143a2411a26297a
151964c98037ab0
hexc01f311751e0

211240200131040 has 96 divisors (see below), whose sum is σ = 666059631592320. Its totient is φ = 56275439512064.

The previous prime is 211240200131033. The next prime is 211240200131053. The reversal of 211240200131040 is 40131002042112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2112402001310403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211240200130998 and 211240200131016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215449914 + ... + 216428153.

It is an arithmetic number, because the mean of its divisors is an integer number (6938121162420).

Almost surely, 2211240200131040 is an apocalyptic number.

211240200131040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211240200131040 is an abundant number, since it is smaller than the sum of its proper divisors (454819431461280).

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

211240200131040 is a wasteful number, since it uses less digits than its factorization.

211240200131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431879104 (or 431879096 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211240200131040 its reverse (40131002042112), we get a palindrome (251371202173152).

The spelling of 211240200131040 in words is "two hundred eleven trillion, two hundred forty billion, two hundred million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1019 2038 3057 4076 5095 6114 8152 10190 12228 15285 16304 20380 24456 30570 32608 40760 48912 61140 81520 97824 122280 163040 244560 489120 431878067 863756134 1295634201 1727512268 2159390335 2591268402 3455024536 4318780670 5182536804 6478171005 6910049072 8637561340 10365073608 12956342010 13820098144 17275122680 20730147216 25912684020 34550245360 41460294432 51825368040 69100490720 103650736080 207301472160 440083750273 880167500546 1320251250819 1760335001092 2200418751365 2640502501638 3520670002184 4400837502730 5281005003276 6601256254095 7041340004368 8801675005460 10562010006552 13202512508190 14082680008736 17603350010920 21124020013104 26405025016380 35206700021840 42248040026208 52810050032760 70413400043680 105620100065520 211240200131040