Search a number
-
+
102243221213001 = 31124761109901309
BaseRepresentation
bin10111001111110101011010…
…111000011000111101001001
3111102000100121212210011202220
4113033311122320120331021
5101400123104112304001
61001241515402244253
730351554222635551
oct2717653270307511
9442010555704686
10102243221213001
112a63a119999200
12b573507ab6689
134508657236b1b
141b36853a9c161
15bc48aa3e6c36
hex5cfd5ae18f49

102243221213001 has 96 divisors (see below), whose sum is σ = 156968111731200. Its totient is φ = 59105615500800.

The previous prime is 102243221212999. The next prime is 102243221213057. The reversal of 102243221213001 is 100312122342201.

It is not a de Polignac number, because 102243221213001 - 21 = 102243221212999 is a prime.

It is a super-2 number, since 2×1022432212130012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102243221217001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112987935 + ... + 113889243.

It is an arithmetic number, because the mean of its divisors is an integer number (1635084497200).

Almost surely, 2102243221213001 is an apocalyptic number.

102243221213001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102243221213001 is a deficient number, since it is larger than the sum of its proper divisors (54724890518199).

102243221213001 is a wasteful number, since it uses less digits than its factorization.

102243221213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901551 (or 901540 counting only the distinct ones).

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

Adding to 102243221213001 its reverse (100312122342201), we get a palindrome (202555343555202).

The spelling of 102243221213001 in words is "one hundred two trillion, two hundred forty-three billion, two hundred twenty-one million, two hundred thirteen thousand, one".

Divisors: 1 3 11 33 47 61 109 121 141 183 327 363 517 671 1199 1551 2013 2867 3597 5123 5687 6649 7381 8601 13189 15369 17061 19947 22143 31537 39567 56353 73139 94611 169059 219417 312503 346907 619883 804529 901309 937509 1040721 1859649 2413587 2703927 3437533 9914399 10312599 29743197 37812863 42361523 54979849 98242681 109058389 113438589 127084569 164939547 294728043 327175167 465976753 604778339 1080669491 1397930259 1814335017 2584052903 3242008473 4617406007 5125744283 5992803541 6652561729 7752158709 11887364401 13852218021 15377232849 17978410623 19957685187 28424581933 35662093203 50791466077 65920838951 85273745799 152374398231 197762516853 281661766427 312670401263 558706126847 725129228461 844985299281 938011203789 1676118380541 2175387685383 3098279430697 9294838292091 34081073737667 102243221213001