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211212010020020 = 22523302145320381
BaseRepresentation
bin110000000001100010100000…
…110101000101110010110100
31000200211200010010112122121112
4300001202200311011302310
5210140444144031120040
62025113242523334152
762326364335113602
oct6001424065056264
91020750103478545
10211212010020020
1161331568409239
121b832376981358
1390b128cc64609
143a22a04346872
15196419826c365
hexc018a0d45cb4

211212010020020 has 24 divisors (see below), whose sum is σ = 443547134284968. Its totient is φ = 84484439580800.

The previous prime is 211212010020013. The next prime is 211212010020041. The reversal of 211212010020020 is 20020010212112.

It can be written as a sum of positive squares in 4 ways, for example, as 24527117580196 + 186684892439824 = 4952486^2 + 13663268^2 .

It is a super-2 number, since 2×2112120100200202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212010019977 and 211212010020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17999771 + ... + 27320610.

It is an arithmetic number, because the mean of its divisors is an integer number (18481130595207).

Almost surely, 2211212010020020 is an apocalyptic number.

211212010020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212010020020 is an abundant number, since it is smaller than the sum of its proper divisors (232335124264948).

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

211212010020020 is a wasteful number, since it uses less digits than its factorization.

211212010020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45553411 (or 45553409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211212010020020 its reverse (20020010212112), we get a palindrome (231232020232132).

The spelling of 211212010020020 in words is "two hundred eleven trillion, two hundred twelve billion, ten million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 233021 466042 932084 1165105 2330210 4660420 45320381 90640762 181281524 226601905 453203810 906407620 10560600501001 21121201002002 42242402004004 52803002505005 105606005010010 211212010020020