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211212111020 = 225101104560451
BaseRepresentation
bin1100010010110100111…
…0010000110010101100
3202012011201211221100112
43010231032100302230
511430030300023040
6241010212315152
721155014215221
oct3045516206254
9665151757315
10211212111020
1181635804159
1234b26612ab8
1316bc01814b1
14a319207948
155762961365
hex312d390cac

211212111020 has 24 divisors (see below), whose sum is σ = 447936976368. Its totient is φ = 83648360000.

The previous prime is 211212111013. The next prime is 211212111029. The reversal of 211212111020 is 20111212112.

It is a super-2 number, since 2×2112121110202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212110986 and 211212111004.

It is not an unprimeable number, because it can be changed into a prime (211212111029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52278206 + ... + 52282245.

It is an arithmetic number, because the mean of its divisors is an integer number (18664040682).

Almost surely, 2211212111020 is an apocalyptic number.

211212111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212111020 is an abundant number, since it is smaller than the sum of its proper divisors (236724865348).

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

211212111020 is a wasteful number, since it uses less digits than its factorization.

211212111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104560561 (or 104560559 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211212111020 its reverse (20111212112), we get a palindrome (231323323132).

The spelling of 211212111020 in words is "two hundred eleven billion, two hundred twelve million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 104560451 209120902 418241804 522802255 1045604510 2091209020 10560605551 21121211102 42242422204 52803027755 105606055510 211212111020