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11245112076 = 223111937121181
BaseRepresentation
bin10100111100100001…
…01100101100001100
31002000200122212210110
422132100230230030
5141012222041301
65055501440020
7545443606212
oct123620545414
932020585713
1011245112076
114850633160
122219b70010
1310a2948293
14789676cb2
1545c35a0d6
hex29e42cb0c

11245112076 has 96 divisors (see below), whose sum is σ = 30945035520. Its totient is φ = 3140985600.

The previous prime is 11245112059. The next prime is 11245112083. The reversal of 11245112076 is 67021154211.

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, 32206 + ... + 153386.

It is an arithmetic number, because the mean of its divisors is an integer number (322344120).

Almost surely, 211245112076 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 11245112076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15472517760).

11245112076 is an abundant number, since it is smaller than the sum of its proper divisors (19699923444).

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

11245112076 is a wasteful number, since it uses less digits than its factorization.

11245112076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121255 (or 121253 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

Adding to 11245112076 its reverse (67021154211), we get a palindrome (78266266287).

It can be divided in two parts, 11245 and 112076, that added together give a palindrome (123321).

The spelling of 11245112076 in words is "eleven billion, two hundred forty-five million, one hundred twelve thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 37 38 44 57 66 74 76 111 114 132 148 209 222 228 407 418 444 627 703 814 836 1221 1254 1406 1628 2109 2442 2508 2812 4218 4884 7733 8436 15466 23199 30932 46398 92796 121181 242362 363543 484724 727086 1332991 1454172 2302439 2665982 3998973 4483697 4604878 5331964 6907317 7997946 8967394 9209756 13451091 13814634 15995892 17934788 25326829 26902182 27629268 49320667 50653658 53804364 75980487 85190243 98641334 101307316 147962001 151960974 170380486 197282668 255570729 295924002 303921948 340760972 511141458 591848004 937092673 1022282916 1874185346 2811278019 3748370692 5622556038 11245112076