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101001492 = 2236191823
BaseRepresentation
bin1100000010100…
…10100100010100
321001001102000000
412001102210110
5201324021432
614004451300
72334332664
oct601224424
9231042000
10101001492
1152015a09
12299a9b30
1317c045c7
14d5b21a4
158d0157c
hex6052914

101001492 has 84 divisors (see below), whose sum is σ = 279108480. Its totient is φ = 31877712.

The previous prime is 101001463. The next prime is 101001493. The reversal of 101001492 is 294100101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001493) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 54493 + ... + 56315.

It is an arithmetic number, because the mean of its divisors is an integer number (3322720).

Almost surely, 2101001492 is an apocalyptic number.

101001492 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 101001492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139554240).

101001492 is an abundant number, since it is smaller than the sum of its proper divisors (178106988).

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

101001492 is a wasteful number, since it uses less digits than its factorization.

101001492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101001492 is about 10049.9498506211. The cubic root of 101001492 is about 465.7032439236.

Adding to 101001492 its reverse (294100101), we get a palindrome (395101593).

The spelling of 101001492 in words is "one hundred one million, one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 729 972 1026 1458 1539 1823 2052 2916 3078 3646 4617 5469 6156 7292 9234 10938 13851 16407 18468 21876 27702 32814 34637 49221 55404 65628 69274 98442 103911 138548 147663 196884 207822 295326 311733 415644 442989 590652 623466 885978 935199 1246932 1328967 1771956 1870398 2657934 2805597 3740796 5315868 5611194 8416791 11222388 16833582 25250373 33667164 50500746 101001492