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11211220104 = 2337195476421
BaseRepresentation
bin10100111000011110…
…11010010010001000
31001221022212222202020
422130033122102020
5140430033020404
65052251204440
7544552540620
oct123417322210
931838788666
1011211220104
114833494667
12220a746720
13109890c966
14784d73880
154593b2ed9
hex29c3da488

11211220104 has 128 divisors (see below), whose sum is σ = 33784857600. Its totient is φ = 3028596480.

The previous prime is 11211220099. The next prime is 11211220109. The reversal of 11211220104 is 40102211211.

It is an interprime number because it is at equal distance from previous prime (11211220099) and next prime (11211220109).

It is not an unprimeable number, because it can be changed into a prime (11211220109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1742814 + ... + 1749234.

It is an arithmetic number, because the mean of its divisors is an integer number (263944200).

Almost surely, 211211220104 is an apocalyptic number.

11211220104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16892428800).

11211220104 is an abundant number, since it is smaller than the sum of its proper divisors (22573637496).

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

11211220104 is a wasteful number, since it uses less digits than its factorization.

11211220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11211220104 its reverse (40102211211), we get a palindrome (51313431315).

The spelling of 11211220104 in words is "eleven billion, two hundred eleven million, two hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 547 798 1064 1094 1596 1641 2188 3192 3282 3829 4376 6421 6564 7658 10393 11487 12842 13128 15316 19263 20786 22974 25684 30632 31179 38526 41572 44947 45948 51368 62358 72751 77052 83144 89894 91896 121999 124716 134841 145502 154104 179788 218253 243998 249432 269682 291004 359576 365997 436506 487996 539364 582008 731994 853993 873012 975992 1078728 1463988 1707986 1746024 2561979 2927976 3415972 3512287 5123958 6831944 7024574 10247916 10536861 14049148 20495832 21073722 24586009 28098296 42147444 49172018 66733453 73758027 84294888 98344036 133466906 147516054 196688072 200200359 266933812 295032108 400400718 467134171 533867624 590064216 800801436 934268342 1401402513 1601602872 1868536684 2802805026 3737073368 5605610052 11211220104