Search a number
-
+
10124213311303 = 7134127782311903
BaseRepresentation
bin1001001101010011101000…
…1000110101011101000111
31022211212100211111020212121
42103110322020311131013
52311333342101430203
633310555511230411
72063310305151160
oct223247210653507
938755324436777
1010124213311303
1132537225272a3
121176182678407
1358592b1cc3b0
1427002bc74767
15128549c570bd
hex9353a235747

10124213311303 has 64 divisors (see below), whose sum is σ = 12827211005952. Its totient is φ = 7776663966720.

The previous prime is 10124213311237. The next prime is 10124213311339. The reversal of 10124213311303 is 30311331242101.

10124213311303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10124213311303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124213011303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850553850 + ... + 850565752.

It is an arithmetic number, because the mean of its divisors is an integer number (200425171968).

Almost surely, 210124213311303 is an apocalyptic number.

10124213311303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10124213311303 is a deficient number, since it is larger than the sum of its proper divisors (2702997694649).

10124213311303 is a wasteful number, since it uses less digits than its factorization.

10124213311303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13064.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10124213311303 its reverse (30311331242101), we get a palindrome (40435544553404).

The spelling of 10124213311303 in words is "ten trillion, one hundred twenty-four billion, two hundred thirteen million, three hundred eleven thousand, three hundred three".

Divisors: 1 7 13 41 91 277 287 533 823 1939 3601 3731 5761 10699 11357 11903 25207 33743 74893 79499 83321 147641 154739 227971 236201 438659 488023 1033487 1083173 1595797 2963623 3070613 3297131 3416161 6344299 9346811 9796169 20745361 23079917 42862703 44410093 65427677 68573183 121508543 127350197 135182371 300038921 401642929 850559801 891451379 946276597 1757370823 2713538813 2811500503 5221358077 12301595761 18994771691 35276004569 36549506539 111255091333 246932031983 778785639331 1446316187329 10124213311303