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211010201010028 = 227291527717010197
BaseRepresentation
bin101111111110100110100100…
…000100110011111101101100
31000200010101012201021201221001
4233332212210010303331230
5210124142342424310103
62024440425332050044
762305661326615150
oct5776464404637554
91020111181251831
10211010201010028
1161263a1849a062
121b7bb235463924
13909823ac1c334
143a16d3bcc5060
15195dcd60b001d
hexbfe9a4133f6c

211010201010028 has 48 divisors (see below), whose sum is σ = 436601432473920. Its totient is φ = 87308845376256.

The previous prime is 211010201009957. The next prime is 211010201010029. The reversal of 211010201010028 is 820010102010112.

It is a junction number, because it is equal to n+sod(n) for n = 211010201009987 and 211010201010014.

It is not an unprimeable number, because it can be changed into a prime (211010201010029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3899826 + ... + 20910022.

It is an arithmetic number, because the mean of its divisors is an integer number (9095863176540).

Almost surely, 2211010201010028 is an apocalyptic number.

211010201010028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

211010201010028 is an abundant number, since it is smaller than the sum of its proper divisors (225591231463892).

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

211010201010028 is a wasteful number, since it uses less digits than its factorization.

211010201010028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17025514 (or 17025512 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The spelling of 211010201010028 in words is "two hundred eleven trillion, ten billion, two hundred one million, ten thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 15277 30554 61108 106939 213878 427756 443033 886066 1772132 3101231 6202462 12404924 17010197 34020394 68040788 119071379 238142758 476285516 493295713 986591426 1973182852 3453069991 6906139982 13812279964 259864779569 519729559138 1039459118276 1819053456983 3638106913966 7276213827932 7536078607501 15072157215002 30144314430004 52752550252507 105505100505014 211010201010028