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10038013701 = 3731371572131
BaseRepresentation
bin10010101100100111…
…11110111100000101
3221220120021221010020
421112103332330011
5131024212414301
64340021245353
7503515465032
oct112623767405
927816257106
1010038013701
1142912192a1
121b41863859
13c3c839ba1
146b321a389
153db3bb436
hex2564fef05

10038013701 has 32 divisors (see below), whose sum is σ = 13759893888. Its totient is φ = 6507371520.

The previous prime is 10038013637. The next prime is 10038013751. The reversal of 10038013701 is 10731083001.

It is not a de Polignac number, because 10038013701 - 26 = 10038013637 is a prime.

It is a super-3 number, since 3×100380137013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038013751) 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 31 ways as a sum of consecutive naturals, for example, 4709406 + ... + 4711536.

It is an arithmetic number, because the mean of its divisors is an integer number (429996684).

Almost surely, 210038013701 is an apocalyptic number.

It is an amenable number.

10038013701 is a deficient number, since it is larger than the sum of its proper divisors (3721880187).

10038013701 is a wasteful number, since it uses less digits than its factorization.

10038013701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501.

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 10038013701 its reverse (10731083001), we get a palindrome (20769096702).

The spelling of 10038013701 in words is "ten billion, thirty-eight million, thirteen thousand, seven hundred one".

Divisors: 1 3 73 137 157 219 411 471 2131 6393 10001 11461 21509 30003 34383 64527 155563 291947 334567 466689 875841 1003701 1570157 4710471 21312131 24423391 45835679 63936393 73270173 137507037 3346004567 10038013701