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11104421411000 = 235367173958021
BaseRepresentation
bin1010000110010111001100…
…0101111111100010111000
31110022120110012221222020002
42201211303011333202320
52423413323340123000
635341144544452132
72224160625424031
oct241456305774270
943276405858202
1011104421411000
1135a13a4438595
1212b414031a048
136271b0c52208
142a56578c5a88
15143cb8b5b8d5
hexa197317f8b8

11104421411000 has 128 divisors (see below), whose sum is σ = 26524640151360. Its totient is φ = 4350177216000.

The previous prime is 11104421410987. The next prime is 11104421411023. The reversal of 11104421411000 is 11412440111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11111990 + ... + 12070010.

Almost surely, 211104421411000 is an apocalyptic number.

11104421411000 is a gapful number since it is divisible by the number (10) 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 11104421411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262320075680).

11104421411000 is an abundant number, since it is smaller than the sum of its proper divisors (15420218740360).

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

11104421411000 is a wasteful number, since it uses less digits than its factorization.

11104421411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958282 (or 958268 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11104421411000 its reverse (11412440111), we get a palindrome (11115833851111).

The spelling of 11104421411000 in words is "eleven trillion, one hundred four billion, four hundred twenty-one million, four hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 173 200 250 268 335 346 500 536 670 692 865 1000 1340 1384 1675 1730 2680 3350 3460 4325 6700 6920 8375 8650 11591 13400 16750 17300 21625 23182 33500 34600 43250 46364 57955 67000 86500 92728 115910 173000 231820 289775 463640 579550 958021 1159100 1448875 1916042 2318200 2897750 3832084 4790105 5795500 7664168 9580210 11591000 19160420 23950525 38320840 47901050 64187407 95802100 119752625 128374814 165737633 191604200 239505250 256749628 320937035 331475266 479010500 513499256 641874070 662950532 828688165 958021000 1283748140 1325901064 1604685175 1657376330 2567496280 3209370350 3314752660 4143440825 6418740700 6629505320 8023425875 8286881650 11104421411 12837481400 16046851750 16573763300 20717204125 22208842822 32093703500 33147526600 41434408250 44417685644 55522107055 64187407000 82868816500 88835371288 111044214110 165737633000 222088428220 277610535275 444176856440 555221070550 1110442141100 1388052676375 2220884282200 2776105352750 5552210705500 11104421411000