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10506201150 = 235275379293
BaseRepresentation
bin10011100100011011…
…11110100000111110
31000010012021022120010
421302031332200332
5133004041414100
64454304204050
7521232144024
oct116215764076
930105238503
1010506201150
114501527475
122052609626
13cb5833c93
14719490714
1541754d750
hex27237e83e

10506201150 has 48 divisors (see below), whose sum is σ = 26061639984. Its totient is φ = 2800980480.

The previous prime is 10506201109. The next prime is 10506201151. The reversal of 10506201150 is 5110260501.

It is a super-2 number, since 2×105062011502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506201151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1125904 + ... + 1135196.

It is an arithmetic number, because the mean of its divisors is an integer number (542950833).

Almost surely, 210506201150 is an apocalyptic number.

10506201150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10506201150 is an abundant number, since it is smaller than the sum of its proper divisors (15555438834).

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

10506201150 is a wasteful number, since it uses less digits than its factorization.

10506201150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16845 (or 16840 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 10506201150 its reverse (5110260501), we get a palindrome (15616461651).

The spelling of 10506201150 in words is "ten billion, five hundred six million, two hundred one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 7537 9293 15074 18586 22611 27879 37685 45222 46465 55758 75370 92930 113055 139395 188425 226110 232325 278790 376850 464650 565275 696975 1130550 1393950 70041341 140082682 210124023 350206705 420248046 700413410 1050620115 1751033525 2101240230 3502067050 5253100575 10506201150