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11211423104 = 277411032963
BaseRepresentation
bin10100111000100000…
…01011110110000000
31001221100021022012202
422130100023312000
5140430111014404
65052255412332
7544554344510
oct123420136600
931840238182
1011211423104
114833613132
12220a8240a8
13109898118b
14784dc7840
1545940321e
hex29c40bd80

11211423104 has 128 divisors (see below), whose sum is σ = 26411374080. Its totient is φ = 4640624640.

The previous prime is 11211423101. The next prime is 11211423107. The reversal of 11211423104 is 40132411211.

It is an interprime number because it is at equal distance from previous prime (11211423101) and next prime (11211423107).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211423101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3782327 + ... + 3785289.

It is an arithmetic number, because the mean of its divisors is an integer number (206338860).

Almost surely, 211211423104 is an apocalyptic number.

11211423104 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 11211423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205687040).

11211423104 is an abundant number, since it is smaller than the sum of its proper divisors (15199950976).

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

11211423104 is a wasteful number, since it uses less digits than its factorization.

11211423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11211423104 its reverse (40132411211), we get a palindrome (51343834315).

The spelling of 11211423104 in words is "eleven billion, two hundred eleven million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 103 112 128 164 206 224 287 328 412 448 574 656 721 824 896 1148 1312 1442 1648 2296 2624 2884 2963 3296 4223 4592 5248 5768 5926 6592 8446 9184 11536 11852 13184 16892 18368 20741 23072 23704 29561 33784 36736 41482 46144 47408 59122 67568 82964 92288 94816 118244 121483 135136 165928 189632 236488 242966 270272 305189 331856 379264 472976 485932 540544 610378 663712 850381 945952 971864 1220756 1327424 1700762 1891904 1943728 2136323 2441512 2654848 3401524 3783808 3887456 4272646 4883024 6803048 7774912 8545292 9766048 12512749 13606096 15549824 17090584 19532096 25025498 27212192 34181168 39064192 50050996 54424384 68362336 87589243 100101992 108848768 136724672 175178486 200203984 273449344 350356972 400407968 700713944 800815936 1401427888 1601631872 2802855776 5605711552 11211423104