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212123003220 = 223251178461129
BaseRepresentation
bin1100010110001110000…
…1000010100101010100
3202021112012212001112200
43011203201002211110
511433411442100340
6241240432044500
721216414530502
oct3054341024524
9667465761480
10212123003220
1181a629a5a27
123513b693730
1317006abc86b
14a3a419b672
1557b78e0330
hex3163842954

212123003220 has 36 divisors (see below), whose sum is σ = 643439776980. Its totient is φ = 56566134144.

The previous prime is 212123003219. The next prime is 212123003221. The reversal of 212123003220 is 22300321212.

212123003220 is a `hidden beast` number, since 21 + 21 + 2 + 300 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212123003219) and next prime (212123003221).

It can be written as a sum of positive squares in 2 ways, for example, as 48379762116 + 163743241104 = 219954^2 + 404652^2 .

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 = 212123003193 and 212123003202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123003221) 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, 589230385 + ... + 589230744.

Almost surely, 2212123003220 is an apocalyptic number.

212123003220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212123003220 is an abundant number, since it is smaller than the sum of its proper divisors (431316773760).

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

212123003220 is a wasteful number, since it uses less digits than its factorization.

212123003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178461144 (or 1178461139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212123003220 its reverse (22300321212), we get a palindrome (234423324432).

The spelling of 212123003220 in words is "two hundred twelve billion, one hundred twenty-three million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1178461129 2356922258 3535383387 4713844516 5892305645 7070766774 10606150161 11784611290 14141533548 17676916935 21212300322 23569222580 35353833870 42424600644 53030750805 70707667740 106061501610 212123003220