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11211241314 = 2371323742689
BaseRepresentation
bin10100111000011110…
…11111011101100010
31001221022221001211210
422130033133131202
5140430034210224
65052251450550
7544552656510
oct123417373542
931838831753
1011211241314
1148334a9599
12220a756a56
131098919500
14784d7b4b0
154593b9429
hex29c3df762

11211241314 has 96 divisors (see below), whose sum is σ = 28499160960. Its totient is φ = 2876829696.

The previous prime is 11211241273. The next prime is 11211241319. The reversal of 11211241314 is 41314211211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11211241319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241282 + ... + 283970.

It is an arithmetic number, because the mean of its divisors is an integer number (296866260).

Almost surely, 211211241314 is an apocalyptic number.

11211241314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211241314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14249580480).

11211241314 is an abundant number, since it is smaller than the sum of its proper divisors (17287919646).

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

11211241314 is a wasteful number, since it uses less digits than its factorization.

11211241314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42764 (or 42751 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

Adding to 11211241314 its reverse (41314211211), we get a palindrome (52525452525).

The spelling of 11211241314 in words is "eleven billion, two hundred eleven million, two hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 169 182 222 259 273 338 481 507 518 546 777 962 1014 1183 1443 1554 2366 2886 3367 3549 6253 6734 7098 10101 12506 18759 20202 37518 42689 43771 85378 87542 128067 131313 256134 262626 298823 554957 597646 896469 1109914 1579493 1664871 1792938 3158986 3329742 3884699 4738479 7214441 7769398 9476958 11056451 11654097 14428882 20533409 21643323 22112902 23308194 33169353 41066818 43286646 50501087 61600227 66338706 101002174 123200454 143733863 151503261 266934317 287467726 303006522 431201589 533868634 800802951 862403178 1601605902 1868540219 3737080438 5605620657 11211241314