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10541112088 = 23131376011231
BaseRepresentation
bin10011101000100110…
…01001101100011000
31000012121221222100211
421310103021230120
5133042011041323
64501552340504
7522134655133
oct116423115430
930177858324
1010541112088
11451a201591
122062244734
13cbcb38340
1471dd7b21a
1541a64770d
hex2744c9b18

10541112088 has 64 divisors (see below), whose sum is σ = 21493422720. Its totient is φ = 4817664000.

The previous prime is 10541112079. The next prime is 10541112119. The reversal of 10541112088 is 88021114501.

It is a super-2 number, since 2×105411120882 (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 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, 8562433 + ... + 8563663.

It is an arithmetic number, because the mean of its divisors is an integer number (335834730).

Almost surely, 210541112088 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 10541112088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746711360).

10541112088 is an abundant number, since it is smaller than the sum of its proper divisors (10952310632).

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

10541112088 is a wasteful number, since it uses less digits than its factorization.

10541112088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 31.

Adding to 10541112088 its reverse (88021114501), we get a palindrome (98562226589).

The spelling of 10541112088 in words is "ten billion, five hundred forty-one million, one hundred twelve thousand, eighty-eight".

Divisors: 1 2 4 8 13 26 52 104 137 274 548 601 1096 1202 1231 1781 2404 2462 3562 4808 4924 7124 7813 9848 14248 15626 16003 31252 32006 62504 64012 82337 128024 164674 168647 329348 337294 658696 674588 739831 1070381 1349176 1479662 2140762 2192411 2959324 4281524 4384822 5918648 8563048 8769644 9617803 17539288 19235606 38471212 76942424 101356847 202713694 405427388 810854776 1317639011 2635278022 5270556044 10541112088