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11101331124 = 22331331724943
BaseRepresentation
bin10100101011011000…
…01101111010110100
31001122200010001102000
422111230031322310
5140213420043444
65033324015300
7542046520602
oct122554157264
931580101360
1011101331124
114787459424
122199991530
13107bc15cb0
1477452a872
1544e908469
hex295b0deb4

11101331124 has 96 divisors (see below), whose sum is σ = 31094192640. Its totient is φ = 3404882304.

The previous prime is 11101331053. The next prime is 11101331147. The reversal of 11101331124 is 42113310111.

It is a happy number.

It is a super-2 number, since 2×111013311242 (a number of 21 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 = 11101331097 and 11101331106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432597 + ... + 457539.

It is an arithmetic number, because the mean of its divisors is an integer number (323897840).

Almost surely, 211101331124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101331124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15547096320).

11101331124 is an abundant number, since it is smaller than the sum of its proper divisors (19992861516).

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

11101331124 is a wasteful number, since it uses less digits than its factorization.

11101331124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25286 (or 25278 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11101331124 its reverse (42113310111), we get a palindrome (53214641235).

It can be divided in two parts, 11101 and 331124, that added together give a square (342225 = 5852).

The spelling of 11101331124 in words is "eleven billion, one hundred one million, three hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 317 351 468 634 702 951 1268 1404 1902 2853 3804 4121 5706 8242 8559 11412 12363 16484 17118 24726 24943 34236 37089 49452 49886 74178 74829 99772 111267 148356 149658 222534 224487 299316 324259 445068 448974 648518 673461 897948 972777 1297036 1346922 1945554 2693844 2918331 3891108 5836662 7906931 8754993 11673324 15813862 17509986 23720793 31627724 35019972 47441586 71162379 94883172 102790103 142324758 205580206 213487137 284649516 308370309 411160412 426974274 616740618 853948548 925110927 1233481236 1850221854 2775332781 3700443708 5550665562 11101331124