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10101331212 = 2237412933023
BaseRepresentation
bin10010110100001011…
…00001010100001100
3222001222102210102020
421122011201110030
5131141420044322
64350202330140
7505214620140
oct113205412414
928058383366
1010101331212
114313a35715
121b5aab9950
13c4c9a8b7b
146bb7bd220
153e1c2705c
hex25a16150c

10101331212 has 48 divisors (see below), whose sum is σ = 27593889792. Its totient is φ = 2815701120.

The previous prime is 10101331193. The next prime is 10101331217. The reversal of 10101331212 is 21213310101.

It is a happy number.

It is a super-3 number, since 3×101013312123 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101331191 and 10101331200.

It is not an unprimeable number, because it can be changed into a prime (10101331217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1463068 + ... + 1469955.

It is an arithmetic number, because the mean of its divisors is an integer number (574872704).

Almost surely, 210101331212 is an apocalyptic number.

10101331212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101331212 is an abundant number, since it is smaller than the sum of its proper divisors (17492558580).

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

10101331212 is a wasteful number, since it uses less digits than its factorization.

10101331212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933078 (or 2933076 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10101331212 its reverse (21213310101), we get a palindrome (31314641313).

The spelling of 10101331212 in words is "ten billion, one hundred one million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 2933023 5866046 8799069 11732092 17598138 20531161 35196276 41062322 61593483 82124644 120253943 123186966 240507886 246373932 360761829 481015772 721523658 841777601 1443047316 1683555202 2525332803 3367110404 5050665606 10101331212