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101011092 = 223713233397
BaseRepresentation
bin1100000010101…
…00111010010100
321001001220011120
412001110322110
5201324323332
614005003540
72334402660
oct601247224
9231056146
10101011092
1152022146
12299b35b0
1317c08aa0
14d5b58a0
158d0432c
hex6054e94

101011092 has 96 divisors (see below), whose sum is σ = 292061952. Its totient is φ = 26459136.

The previous prime is 101011091. The next prime is 101011109. The reversal of 101011092 is 290110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 254238 + ... + 254634.

It is an arithmetic number, because the mean of its divisors is an integer number (3042312).

Almost surely, 2101011092 is an apocalyptic number.

101011092 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 101011092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146030976).

101011092 is an abundant number, since it is smaller than the sum of its proper divisors (191050860).

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

101011092 is a wasteful number, since it uses less digits than its factorization.

101011092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 101011092 is about 10050.4274535962. The cubic root of 101011092 is about 465.7179981925.

Adding to 101011092 its reverse (290110101), we get a palindrome (391121193).

The spelling of 101011092 in words is "one hundred one million, eleven thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 233 273 364 397 466 546 699 794 932 1092 1191 1398 1588 1631 2382 2779 2796 3029 3262 4764 4893 5161 5558 6058 6524 8337 9087 9786 10322 11116 12116 15483 16674 18174 19572 20644 21203 30966 33348 36127 36348 42406 61932 63609 72254 84812 92501 108381 127218 144508 185002 216762 254436 277503 370004 433524 555006 647507 1110012 1202513 1295014 1942521 2405026 2590028 3607539 3885042 4810052 7215078 7770084 8417591 14430156 16835182 25252773 33670364 50505546 101011092