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11033302244104 = 2378915723958997
BaseRepresentation
bin1010000010001110010000…
…0011111001101100001000
31110001202212210200221222201
42200203210003321230020
52421232200333302404
635244343514125544
72216062341452110
oct240434403715410
943052783627881
1011033302244104
11357421952a8a8
1212a23b27208b4
136205889a5a3a
142a202c3c2040
1514200517aca4
hexa08e40f9b08

11033302244104 has 128 divisors (see below), whose sum is σ = 24161804928000. Its totient is φ = 4626132166656.

The previous prime is 11033302244093. The next prime is 11033302244131. The reversal of 11033302244104 is 40144220333011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186985134 + ... + 187044130.

It is an arithmetic number, because the mean of its divisors is an integer number (188764101000).

Almost surely, 211033302244104 is an apocalyptic number.

11033302244104 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 11033302244104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12080902464000).

11033302244104 is an abundant number, since it is smaller than the sum of its proper divisors (13128502683896).

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

11033302244104 is a wasteful number, since it uses less digits than its factorization.

11033302244104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59495 (or 59491 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 11033302244104 its reverse (40144220333011), we get a palindrome (51177522577115).

The spelling of 11033302244104 in words is "eleven trillion, thirty-three billion, three hundred two million, two hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 89 157 178 239 314 356 478 623 628 712 956 1099 1246 1256 1673 1912 2198 2492 3346 4396 4984 6692 8792 13384 13973 21271 27946 37523 42542 55892 58997 75046 85084 97811 111784 117994 148897 150092 170168 195622 235988 262661 297794 300184 391244 412979 471976 525322 595588 782488 825958 1050644 1191176 1651916 2101288 3303832 3339547 5250733 6679094 9262529 10501466 13358188 14100283 18525058 21002932 23376829 26716376 28200566 36755131 37050116 42005864 46753658 56401132 64837703 73510262 74100232 93507316 98701981 112802264 129675406 147020524 187014632 197403962 259350812 294041048 394807924 518701624 789615848 824365081 1254925187 1648730162 2213744431 2509850374 3297460324 4427488862 5019700748 5770555567 6594920648 8784476309 8854977724 10039401496 11541111134 15496211017 17568952618 17709955448 23082222268 30992422034 35137905236 46164444536 61984844068 70275810472 123969688136 197023254359 394046508718 788093017436 1379162780513 1576186034872 2758325561026 5516651122052 11033302244104