Search a number
-
+
10241344113 = 37111323295113
BaseRepresentation
bin10011000100110111…
…01000001001110001
3222102201220012000020
421202123220021301
5131433241002423
64412123314053
7511534663050
oct114233501161
928381805006
1010241344113
114385a76460
121b9997b929
13c729bc040
146d2228397
153ee1824e3
hex2626e8271

10241344113 has 128 divisors (see below), whose sum is σ = 19794862080. Its totient is φ = 4534548480.

The previous prime is 10241344103. The next prime is 10241344123. The reversal of 10241344113 is 31144314201.

It is an interprime number because it is at equal distance from previous prime (10241344103) and next prime (10241344123).

It is not a de Polignac number, because 10241344113 - 25 = 10241344081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10241344103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2000445 + ... + 2005557.

It is an arithmetic number, because the mean of its divisors is an integer number (154647360).

Almost surely, 210241344113 is an apocalyptic number.

10241344113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10241344113 is a deficient number, since it is larger than the sum of its proper divisors (9553517967).

10241344113 is a wasteful number, since it uses less digits than its factorization.

10241344113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10241344113 its reverse (31144314201), we get a palindrome (41385658314).

The spelling of 10241344113 in words is "ten billion, two hundred forty-one million, three hundred forty-four thousand, one hundred thirteen".

Divisors: 1 3 7 11 13 21 23 29 33 39 69 77 87 91 143 161 203 231 253 273 299 319 377 429 483 609 667 759 897 957 1001 1131 1771 2001 2093 2233 2639 3003 3289 4147 4669 5113 5313 6279 6699 7337 7917 8671 9867 12441 14007 15339 22011 23023 26013 29029 35791 51359 56243 60697 66469 69069 87087 95381 107373 117599 148277 154077 168729 182091 199407 286143 352797 393701 444831 465283 667667 731159 823193 1037939 1181103 1293589 1395849 1528787 1631047 1927601 2003001 2193477 2469579 3113817 3410371 3880767 4586361 4893141 5118113 5782803 9055123 10231113 10701509 11417329 13493207 15354339 16816657 21203611 23872597 27165369 32104527 34251987 37514081 40479621 44334823 50449971 63610833 71617791 112542243 117716599 133004469 148425277 262598567 310343761 353149797 445275831 487683053 787795701 931031283 1463049159 3413781371 10241344113