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1001020212 = 2232971731657
BaseRepresentation
bin111011101010100…
…101101100110100
32120202121002120200
4323222211230310
54022230121322
6243155200500
733543350163
oct7352455464
92522532520
101001020212
11474060335
1223b2a6130
1312c50666a
1496d353da
155cd338ac
hex3baa5b34

1001020212 has 72 divisors (see below), whose sum is σ = 2572771656. Its totient is φ = 328126464.

The previous prime is 1001020171. The next prime is 1001020213. The reversal of 1001020212 is 2120201001.

It can be written as a sum of positive squares in 4 ways, for example, as 242238096 + 758782116 = 15564^2 + 27546^2 .

It is a super-3 number, since 3×10010202123 (a number of 28 digits) contains 333 as substring.

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 = 1001020194 and 1001020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001020213) 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 23 ways as a sum of consecutive naturals, for example, 603288 + ... + 604944.

Almost surely, 21001020212 is an apocalyptic number.

1001020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001020212 is an abundant number, since it is smaller than the sum of its proper divisors (1571751444).

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

1001020212 is a wasteful number, since it uses less digits than its factorization.

1001020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1932 counting only the distinct ones).

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

The square root of 1001020212 is about 31638.9034576105. The cubic root of 1001020212 is about 1000.3399550841.

Adding to 1001020212 its reverse (2120201001), we get a palindrome (3121221213).

The spelling of 1001020212 in words is "one billion, one million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 97 173 194 291 346 388 519 582 692 873 1038 1164 1557 1657 1746 2076 3114 3314 3492 4971 6228 6628 9942 14913 16781 19884 29826 33562 50343 59652 67124 100686 151029 160729 201372 286661 302058 321458 482187 573322 604116 642916 859983 964374 1146644 1446561 1719966 1928748 2579949 2893122 3439932 5159898 5786244 10319796 27806117 55612234 83418351 111224468 166836702 250255053 333673404 500510106 1001020212