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11410021211004 = 223213296581127747
BaseRepresentation
bin1010011000001001101001…
…0000101101101101111100
31111101210020222220022110100
42212002122100231231330
52443420210412223004
640133405201041100
72255226651031053
oct246023220555574
944353228808410
1011410021211004
1136a9a65573479
121343409026190
13649c63c68240
142b636861d39a
1514bc02c50739
hexa609a42db7c

11410021211004 has 144 divisors (see below), whose sum is σ = 32136802981920. Its totient is φ = 3389172917760.

The previous prime is 11410021210993. The next prime is 11410021211047. The reversal of 11410021211004 is 40011212001411.

It is a super-2 number, since 2×114100212110042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89253459 + ... + 89381205.

It is an arithmetic number, because the mean of its divisors is an integer number (223172242930).

Almost surely, 211410021211004 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 11410021211004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16068401490960).

11410021211004 is an abundant number, since it is smaller than the sum of its proper divisors (20726781770916).

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

11410021211004 is a wasteful number, since it uses less digits than its factorization.

11410021211004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134380 (or 134375 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11410021211004 its reverse (40011212001411), we get a palindrome (51421233212415).

The spelling of 11410021211004 in words is "eleven trillion, four hundred ten billion, twenty-one million, two hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6581 6786 13162 13572 19743 26324 39486 59229 78972 85553 118458 127747 171106 190849 236916 255494 256659 342212 381698 383241 510988 513318 572547 763396 766482 769977 1026636 1145094 1149723 1532964 1539954 1660711 1717641 2290188 2299446 2481037 3079908 3321422 3435282 3704663 4598892 4962074 4982133 6642844 6870564 7409326 7443111 9924148 9964266 11113989 14818652 14886222 14946399 19928532 22227978 22329333 29772444 29892798 33341967 44455956 44658666 48160619 59785596 66683934 89317332 96321238 133367868 144481857 192642476 288963714 433445571 577927428 840703007 866891142 1681406014 1733782284 2522109021 3362812028 5044218042 7566327063 10088436084 10929139091 15132654126 21858278182 24380387203 30265308252 32787417273 43716556364 48760774406 65574834546 73141161609 97521548812 98362251819 131149669092 146282323218 196724503638 219423484827 292564646436 316945033639 393449007276 438846969654 633890067278 877693939308 950835100917 1267780134556 1901670201834 2852505302751 3803340403668 5705010605502 11410021211004