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210312123100020 = 223251168400683889
BaseRepresentation
bin101111110100011100011011…
…011000111010101101110100
31000120122122100110112121222100
4233310130123120322231310
5210031223212003200040
62023144015555502100
762204356316363424
oct5764343330725564
91016578313477870
10210312123100020
1161014963734097
121b707a945b7930
13904746aa4b766
1439d1237d98484
15194aa7ab2ab30
hexbf471b63ab74

210312123100020 has 36 divisors (see below), whose sum is σ = 637946773403940. Its totient is φ = 56083232826624.

The previous prime is 210312123100019. The next prime is 210312123100021. The reversal of 210312123100020 is 20001321213012.

210312123100020 is a `hidden beast` number, since 2 + 10 + 312 + 12 + 310 + 0 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (210312123100019) and next prime (210312123100021).

It can be written as a sum of positive squares in 2 ways, for example, as 90056949347556 + 120255173752464 = 9489834^2 + 10966092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210312123099966 and 210312123100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210312123100021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584200341765 + ... + 584200342124.

It is an arithmetic number, because the mean of its divisors is an integer number (17720743705665).

Almost surely, 2210312123100020 is an apocalyptic number.

210312123100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210312123100020 is an abundant number, since it is smaller than the sum of its proper divisors (427634650303920).

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

210312123100020 is a wasteful number, since it uses less digits than its factorization.

210312123100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168400683904 (or 1168400683899 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 210312123100020 its reverse (20001321213012), we get a palindrome (230313444313032).

The spelling of 210312123100020 in words is "two hundred ten trillion, three hundred twelve billion, one hundred twenty-three million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1168400683889 2336801367778 3505202051667 4673602735556 5842003419445 7010404103334 10515606155001 11684006838890 14020808206668 17526010258335 21031212310002 23368013677780 35052020516670 42062424620004 52578030775005 70104041033340 105156061550010 210312123100020