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10105750336 = 261159243301
BaseRepresentation
bin10010110100101100…
…11000001101000000
3222002021202022022111
421122112120031000
5131144033002321
64350441145104
7505300313653
oct113226301500
928067668274
1010105750336
114316483890
121b6048b194
13c50895436
146bc20d89a
153e22eb5e1
hex25a598340

10105750336 has 56 divisors (see below), whose sum is σ = 22247534880. Its totient is φ = 4515648000.

The previous prime is 10105750331. The next prime is 10105750339. The reversal of 10105750336 is 63305750101.

It is a super-2 number, since 2×101057503362 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10105750298 and 10105750307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105750331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80115 + ... + 163186.

Almost surely, 210105750336 is an apocalyptic number.

10105750336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10105750336 is an abundant number, since it is smaller than the sum of its proper divisors (12141784544).

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

10105750336 is a wasteful number, since it uses less digits than its factorization.

10105750336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243383 (or 243373 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The spelling of 10105750336 in words is "ten billion, one hundred five million, seven hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 176 236 352 472 649 704 944 1298 1888 2596 3776 5192 10384 20768 41536 243301 486602 973204 1946408 2676311 3892816 5352622 7785632 10705244 14354759 15571264 21410488 28709518 42820976 57419036 85641952 114838072 157902349 171283904 229676144 315804698 459352288 631609396 918704576 1263218792 2526437584 5052875168 10105750336