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1001202144 = 25323599757
BaseRepresentation
bin111011101011010…
…010000111100000
32120202221100010220
4323223102013200
54022301432034
6243203123040
733545035455
oct7353220740
92522840126
101001202144
11474174a98
1223b373480
1312c56b407
1496d8182c
155cd6c749
hex3bad21e0

1001202144 has 96 divisors (see below), whose sum is σ = 2750630400. Its totient is φ = 318269952.

The previous prime is 1001202107. The next prime is 1001202151. The reversal of 1001202144 is 4412021001.

1001202144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1322214 + ... + 1322970.

It is an arithmetic number, because the mean of its divisors is an integer number (28652400).

Almost surely, 21001202144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375315200).

1001202144 is an abundant number, since it is smaller than the sum of its proper divisors (1749428256).

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

1001202144 is a wasteful number, since it uses less digits than its factorization.

1001202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1001202144 is about 31641.7784582346. The cubic root of 1001202144 is about 1000.4005542016.

Adding to 1001202144 its reverse (4412021001), we get a palindrome (5413223145).

The spelling of 1001202144 in words is "one billion, one million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 599 736 757 1104 1198 1514 1797 2208 2271 2396 3028 3594 4542 4792 6056 7188 9084 9584 12112 13777 14376 17411 18168 19168 24224 27554 28752 34822 36336 41331 52233 55108 57504 69644 72672 82662 104466 110216 139288 165324 208932 220432 278576 330648 417864 440864 453443 557152 661296 835728 906886 1322592 1360329 1671456 1813772 2720658 3627544 5441316 7255088 10429189 10882632 14510176 20858378 21765264 31287567 41716756 43530528 62575134 83433512 125150268 166867024 250300536 333734048 500601072 1001202144