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211011220140 = 223572381211007
BaseRepresentation
bin1100010010000100111…
…1111011001010101100
3202011122201211121212120
43010201033323022230
511424122333021030
6240534234432540
721150024530430
oct3044117731254
9664581747776
10211011220140
1181542372936
1234a8b292750
1316b8a674856
14a2da6729c0
15574eecd010
hex31213fb2ac

211011220140 has 96 divisors (see below), whose sum is σ = 675522699264. Its totient is φ = 48210650880.

The previous prime is 211011220139. The next prime is 211011220141. The reversal of 211011220140 is 41022110112.

211011220140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211011220139) and next prime (211011220141).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (211011220141) by changing a digit.

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, 894517 + ... + 1105523.

It is an arithmetic number, because the mean of its divisors is an integer number (7036694784).

Almost surely, 2211011220140 is an apocalyptic number.

211011220140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011220140 is an abundant number, since it is smaller than the sum of its proper divisors (464511479124).

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

211011220140 is a wasteful number, since it uses less digits than its factorization.

211011220140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213407 (or 213405 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211011220140 its reverse (41022110112), we get a palindrome (252033330252).

The spelling of 211011220140 in words is "two hundred eleven billion, eleven million, two hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2381 4762 7143 9524 11905 14286 16667 23810 28572 33334 35715 47620 50001 66668 71430 83335 100002 142860 166670 200004 211007 250005 333340 422014 500010 633021 844028 1000020 1055035 1266042 1477049 2110070 2532084 2954098 3165105 4220140 4431147 5908196 6330210 7385245 8862294 12660420 14770490 17724588 22155735 29540980 44311470 88622940 502407667 1004815334 1507223001 2009630668 2512038335 3014446002 3516853669 5024076670 6028892004 7033707338 7536115005 10048153340 10550561007 14067414676 15072230010 17584268345 21101122014 30144460020 35168536690 42202244028 52752805035 70337073380 105505610070 211011220140