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101011212 = 2235176113
BaseRepresentation
bin1100000010101…
…00111100001100
321001001220100000
412001110330030
5201324324322
614005004300
72334403221
oct601247414
9231056300
10101011212
1152022245
12299b3690
1317c08b63
14d5b5948
158d043ac
hex6054f0c

101011212 has 72 divisors (see below), whose sum is σ = 280412496. Its totient is φ = 31684608.

The previous prime is 101011189. The next prime is 101011259. The reversal of 101011212 is 212110101.

It is a happy number.

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 = 101011194 and 101011203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13468 + ... + 19580.

It is an arithmetic number, because the mean of its divisors is an integer number (3894618).

Almost surely, 2101011212 is an apocalyptic number.

101011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140206248).

101011212 is an abundant number, since it is smaller than the sum of its proper divisors (179401284).

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

101011212 is a wasteful number, since it uses less digits than its factorization.

101011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 101011212 is about 10050.4334234898. The cubic root of 101011212 is about 465.7181826149.

Adding to 101011212 its reverse (212110101), we get a palindrome (313121313).

The spelling of 101011212 in words is "one hundred one million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 4131 5508 6113 8262 12226 16524 18339 24452 36678 55017 73356 103921 110034 165051 207842 220068 311763 330102 415684 495153 623526 660204 935289 990306 1247052 1485459 1870578 1980612 2805867 2970918 3741156 5611734 5941836 8417601 11223468 16835202 25252803 33670404 50505606 101011212