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1212100020 = 2232537181997
BaseRepresentation
bin100100000111111…
…0010110110110100
310010110210001122100
41020033302312310
54440244200040
6320135302100
742015452205
oct11017626664
93113701570
101212100020
1157222075a
12299b1a930
1316416cb61
14b6d9d5ac
157162ab30
hex483f2db4

1212100020 has 72 divisors (see below), whose sum is σ = 3776094504. Its totient is φ = 314489088.

The previous prime is 1212100009. The next prime is 1212100027. The reversal of 1212100020 is 200012121.

It can be written as a sum of positive squares in 4 ways, for example, as 420578064 + 791521956 = 20508^2 + 28134^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1212099975 and 1212100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212100027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84339 + ... + 97658.

It is an arithmetic number, because the mean of its divisors is an integer number (52445757).

Almost surely, 21212100020 is an apocalyptic number.

1212100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212100020 is an abundant number, since it is smaller than the sum of its proper divisors (2563994484).

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

1212100020 is a wasteful number, since it uses less digits than its factorization.

1212100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182049 (or 182044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1212100020 is about 34815.2268411395. The cubic root of 1212100020 is about 1066.2183504462.

Adding to 1212100020 its reverse (200012121), we get a palindrome (1412112141).

The spelling of 1212100020 in words is "one billion, two hundred twelve million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 181997 363994 545991 727988 909985 1091982 1637973 1819970 2183964 2729955 3275946 3639940 5459910 6551892 6733889 8189865 10919820 13467778 16379730 20201667 26935556 32759460 33669445 40403334 60605001 67338890 80806668 101008335 121210002 134677780 202016670 242420004 303025005 404033340 606050010 1212100020