Search a number
-
+
13101041222430 = 23571011399441517
BaseRepresentation
bin1011111010100101001011…
…1010001000001100011110
31201101110002002101110011220
42332221102322020030132
53204121413023104210
643510311340354210
72521343004666660
oct276512272101436
951343062343156
1013101041222430
1141a11362546a7
1215770a0245966
137405661090b5
14334145484530
1517abc4ee6c70
hexbea52e8831e

13101041222430 has 128 divisors (see below), whose sum is σ = 36316091750400. Its totient is φ = 2962748966400.

The previous prime is 13101041222417. The next prime is 13101041222461. The reversal of 13101041222430 is 3422214010131.

13101041222430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131010412224302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13101041222430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29452032 + ... + 29893548.

It is an arithmetic number, because the mean of its divisors is an integer number (283719466800).

Almost surely, 213101041222430 is an apocalyptic number.

13101041222430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101041222430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18158045875200).

13101041222430 is an abundant number, since it is smaller than the sum of its proper divisors (23215050527970).

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

13101041222430 is a wasteful number, since it uses less digits than its factorization.

13101041222430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443034.

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

Adding to 13101041222430 its reverse (3422214010131), we get a palindrome (16523255232561).

The spelling of 13101041222430 in words is "thirteen trillion, one hundred one billion, forty-one million, two hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 101 105 202 210 303 505 606 707 1010 1399 1414 1515 2121 2798 3030 3535 4197 4242 6995 7070 8394 9793 10605 13990 19586 20985 21210 29379 41970 48965 58758 97930 141299 146895 282598 293790 423897 441517 706495 847794 883034 989093 1324551 1412990 1978186 2119485 2207585 2649102 2967279 3090619 4238970 4415170 4945465 5934558 6181238 6622755 9271857 9890930 13245510 14836395 15453095 18543714 29672790 30906190 44593217 46359285 89186434 92718570 133779651 222966085 267559302 312152519 445932170 617682283 624305038 668898255 936457557 1235364566 1337796510 1560762595 1853046849 1872915114 3088411415 3121525190 3706093698 4323775981 4682287785 6176822830 8647551962 9265234245 9364575570 12971327943 18530468490 21618879905 25942655886 43237759810 62385910583 64856639715 124771821166 129713279430 187157731749 311929552915 374315463498 436701374081 623859105830 873402748162 935788658745 1310104122243 1871577317490 2183506870405 2620208244486 4367013740810 6550520611215 13101041222430