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107252051500 = 225311101193073
BaseRepresentation
bin110001111100010111…
…0000110111000101100
3101020211120122201200201
41203320232012320230
53224123011122000
6121134303403244
710514543252536
oct1437056067054
9336746581621
10107252051500
1141537a947a0
12189525b3524
13a1630c5a89
14529626c856
152bcac4096a
hex18f8b86e2c

107252051500 has 96 divisors (see below), whose sum is σ = 258064252992. Its totient is φ = 38614400000.

The previous prime is 107252051471. The next prime is 107252051513. The reversal of 107252051500 is 5150252701.

107252051500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458964 + ... + 652036.

It is an arithmetic number, because the mean of its divisors is an integer number (2688169302).

Almost surely, 2107252051500 is an apocalyptic number.

107252051500 is a gapful number since it is divisible by the number (10) 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 107252051500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129032126496).

107252051500 is an abundant number, since it is smaller than the sum of its proper divisors (150812201492).

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

107252051500 is a wasteful number, since it uses less digits than its factorization.

107252051500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193204 (or 193192 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The spelling of 107252051500 in words is "one hundred seven billion, two hundred fifty-two million, fifty-one thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 125 202 220 250 275 404 500 505 550 1010 1100 1111 1375 2020 2222 2525 2750 4444 5050 5500 5555 10100 11110 12625 22220 25250 27775 50500 55550 111100 138875 193073 277750 386146 555500 772292 965365 1930730 2123803 3861460 4247606 4826825 8495212 9653650 10619015 19307300 19500373 21238030 24134125 39000746 42476060 48268250 53095075 78001492 96536500 97501865 106190150 195003730 212380300 214504103 265475375 390007460 429008206 487509325 530950750 858016412 975018650 1061901500 1072520515 1950037300 2145041030 2437546625 4290082060 4875093250 5362602575 9750186500 10725205150 21450410300 26813012875 53626025750 107252051500