Search a number
-
+
1123410102101 = 71922715472999
BaseRepresentation
bin10000010110010000011…
…101011100011101010101
310222101201101022011122022
4100112100131130131111
5121401220441231401
62220030521142525
7144110102212040
oct20262035343525
93871641264568
101123410102101
113a3487796211
1216188392aa45
1381c24b04bb1
143c532629c57
151e350cbc71b
hex1059075c755

1123410102101 has 48 divisors (see below), whose sum is σ = 1362968064000. Its totient is φ = 906912508320.

The previous prime is 1123410102097. The next prime is 1123410102121. The reversal of 1123410102101 is 1012010143211.

It is not a de Polignac number, because 1123410102101 - 22 = 1123410102097 is a prime.

It is a super-2 number, since 2×11234101021012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1123410102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123410102121) 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 47 ways as a sum of consecutive naturals, for example, 374593400 + ... + 374596398.

It is an arithmetic number, because the mean of its divisors is an integer number (28395168000).

Almost surely, 21123410102101 is an apocalyptic number.

It is an amenable number.

1123410102101 is a deficient number, since it is larger than the sum of its proper divisors (239557961899).

1123410102101 is a wasteful number, since it uses less digits than its factorization.

1123410102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1123410102101 its reverse (1012010143211), we get a palindrome (2135420245312).

The spelling of 1123410102101 in words is "one trillion, one hundred twenty-three billion, four hundred ten million, one hundred two thousand, one hundred one".

Divisors: 1 7 19 133 271 361 547 1897 2527 2999 3829 5149 10393 20993 36043 56981 72751 97831 148237 197467 398867 684817 812729 1037659 1082639 1382269 1640453 2816503 5689103 7578473 11483171 15441851 19715521 31168607 53513557 108092957 218180249 293395169 374594899 444562763 592203533 2053766183 3111939341 4145424731 8446692497 59126847479 160487157443 1123410102101