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11130412123110 = 2357296129961539
BaseRepresentation
bin1010000111111000000001…
…0000101100001111100110
31110102001112120001221120010
42201332000100230033212
52424330041000414420
635401123555551050
72226100663013640
oct241760020541746
943361476057503
1011130412123110
113601421524255
1212b91945bb486
136297937c31c7
142a6a0167d890
151447da7c84e0
hexa1f8042c3e6

11130412123110 has 128 divisors (see below), whose sum is σ = 32099595494400. Its totient is φ = 2416098424320.

The previous prime is 11130412123057. The next prime is 11130412123133. The reversal of 11130412123110 is 1132121403111.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14609280 + ... + 15352259.

It is an arithmetic number, because the mean of its divisors is an integer number (250778089800).

Almost surely, 211130412123110 is an apocalyptic number.

11130412123110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11130412123110 is an abundant number, since it is smaller than the sum of its proper divisors (20969183371290).

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

11130412123110 is a wasteful number, since it uses less digits than its factorization.

11130412123110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29961646.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11130412123110 its reverse (1132121403111), we get a palindrome (12262533526221).

The spelling of 11130412123110 in words is "eleven trillion, one hundred thirty billion, four hundred twelve million, one hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 61 70 87 105 122 145 174 183 203 210 290 305 366 406 427 435 609 610 854 870 915 1015 1218 1281 1769 1830 2030 2135 2562 3045 3538 4270 5307 6090 6405 8845 10614 12383 12810 17690 24766 26535 37149 53070 61915 74298 123830 185745 371490 29961539 59923078 89884617 149807695 179769234 209730773 299615390 419461546 449423085 629192319 868884631 898846170 1048653865 1258384638 1737769262 1827653879 2097307730 2606653893 3145961595 3655307758 4344423155 5213307786 5482961637 6082192417 6291923190 8688846310 9138269395 10965923274 12164384834 12793577153 13033269465 18246577251 18276538790 25587154306 26066538930 27414808185 30410962085 36493154502 38380731459 53001962491 54829616370 60821924170 63967885765 76761462918 91232886255 106003924982 127935771530 159005887473 182465772510 191903657295 265009812455 318011774946 371013737437 383807314590 530019624910 742027474874 795029437365 1113041212311 1590058874730 1855068687185 2226082424622 3710137374370 5565206061555 11130412123110