Search a number
-
+
1101303013122 = 2331323913214969
BaseRepresentation
bin10000000001101010110…
…001100101111100000010
310220021122200220200201000
4100001222301211330002
5121020432032404442
62201533121352430
7142365213104424
oct20015261457402
93807580820630
101101303013122
11395072927044
12159534198716
137cb10a29860
143b436570814
151d9aa088d4c
hex1006ac65f02

1101303013122 has 128 divisors (see below), whose sum is σ = 2649161088000. Its totient is φ = 337121326080.

The previous prime is 1101303013103. The next prime is 1101303013189. The reversal of 1101303013122 is 2213103031011.

1101303013122 is a `hidden beast` number, since 110 + 130 + 301 + 3 + 122 = 666.

It is a super-2 number, since 2×11013030131222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1101303013095 and 1101303013104.

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, 221632254 + ... + 221637222.

It is an arithmetic number, because the mean of its divisors is an integer number (20696571000).

Almost surely, 21101303013122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101303013122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324580544000).

1101303013122 is an abundant number, since it is smaller than the sum of its proper divisors (1547858074878).

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

1101303013122 is a wasteful number, since it uses less digits than its factorization.

1101303013122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6553 (or 6547 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1101303013122 its reverse (2213103031011), we get a palindrome (3314406044133).

The spelling of 1101303013122 in words is "one trillion, one hundred one billion, three hundred three million, thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 239 351 478 702 717 1321 1434 2151 2642 3107 3963 4302 4969 6214 6453 7926 9321 9938 11889 12906 14907 17173 18642 23778 27963 29814 34346 35667 44721 51519 55926 64597 71334 83889 89442 103038 129194 134163 154557 167778 193791 268326 309114 315719 387582 463671 581373 631438 927342 947157 1162746 1187591 1744119 1894314 2375182 2841471 3488238 3562773 4104347 5682942 6564049 7125546 8208694 8524413 10688319 12313041 13128098 15438683 17048826 19692147 21376638 24626082 30877366 32064957 36939123 39384294 46316049 59076441 64129914 73878246 85332637 92632098 110817369 118152882 138948147 170665274 177229323 221634738 255997911 277896294 354458646 416844441 511995822 767993733 833688882 1535987466 1568807711 2303981199 3137615422 4607962398 4706423133 9412846266 14119269399 20394500243 28238538798 40789000486 42357808197 61183500729 84715616394 122367001458 183550502187 367101004374 550651506561 1101303013122