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101011296 = 2531979701
BaseRepresentation
bin1100000010101…
…00111101100000
321001001220110010
412001110331200
5201324330141
614005004520
72334403401
oct601247540
9231056403
10101011296
1152022311
12299b3740
1317c08bc9
14d5b59a8
158d04416
hex6054f60

101011296 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 31449600.

The previous prime is 101011291. The next prime is 101011301. The reversal of 101011296 is 692110101.

Adding to 101011296 its reverse (692110101), we get a palindrome (793121397).

It is an interprime number because it is at equal distance from previous prime (101011291) and next prime (101011301).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011291) 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 15 ways as a sum of consecutive naturals, for example, 143746 + ... + 144446.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2101011296 is an apocalyptic number.

101011296 is a gapful number since it is divisible by the number (16) 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 101011296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

101011296 is an abundant number, since it is smaller than the sum of its proper divisors (182035104).

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

101011296 is a wasteful number, since it uses less digits than its factorization.

101011296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 101011296 is about 10050.4376024131. The cubic root of 101011296 is about 465.7183117105.

The spelling of 101011296 in words is "one hundred one million, eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 79 96 114 152 158 228 237 304 316 456 474 608 632 701 912 948 1264 1402 1501 1824 1896 2103 2528 2804 3002 3792 4206 4503 5608 6004 7584 8412 9006 11216 12008 13319 16824 18012 22432 24016 26638 33648 36024 39957 48032 53276 55379 67296 72048 79914 106552 110758 144096 159828 166137 213104 221516 319656 332274 426208 443032 639312 664548 886064 1052201 1278624 1329096 1772128 2104402 2658192 3156603 4208804 5316384 6313206 8417608 12626412 16835216 25252824 33670432 50505648 101011296