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1110001131030 = 23511291031126093
BaseRepresentation
bin10000001001110001001…
…110010001111000010110
310221010002212221212100010
4100021301032101320112
5121141240242143110
62205532200301050
7143123601636651
oct20116116217026
93833085855303
101110001131030
11398826778840
1215b161171786
1380898aa049c
143ba1d842898
151dd189d4020
hex10271391e16

1110001131030 has 128 divisors (see below), whose sum is σ = 3035589073920. Its totient is φ = 257289500160.

The previous prime is 1110001130993. The next prime is 1110001131199. The reversal of 1110001131030 is 301311000111.

It is a junction number, because it is equal to n+sod(n) for n = 1110001130997 and 1110001131015.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 422664 + ... + 1548756.

It is an arithmetic number, because the mean of its divisors is an integer number (23715539640).

Almost surely, 21110001131030 is an apocalyptic number.

1110001131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110001131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517794536960).

1110001131030 is an abundant number, since it is smaller than the sum of its proper divisors (1925587942890).

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

1110001131030 is a wasteful number, since it uses less digits than its factorization.

1110001131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126246.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1110001131030 its reverse (301311000111), we get a palindrome (1411312131141).

The spelling of 1110001131030 in words is "one trillion, one hundred ten billion, one million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 103 110 145 165 174 206 290 309 319 330 435 515 618 638 870 957 1030 1133 1545 1595 1914 2266 2987 3090 3190 3399 4785 5665 5974 6798 8961 9570 11330 14935 16995 17922 29870 32857 33990 44805 65714 89610 98571 164285 197142 328570 492855 985710 1126093 2252186 3378279 5630465 6756558 11260930 12387023 16891395 24774046 32656697 33782790 37161069 61935115 65313394 74322138 97970091 115987579 123870230 163283485 185805345 195940182 231975158 326566970 347962737 359223667 371610690 489850455 579937895 695925474 718447334 979700910 1077671001 1159875790 1275863369 1739813685 1796118335 2155342002 2551726738 3363639791 3479627370 3592236670 3827590107 5388355005 6379316845 6727279582 7655180214 10090919373 10776710010 12758633690 16818198955 19137950535 20181838746 33636397910 37000037701 38275901070 50454596865 74000075402 100909193730 111000113103 185000188505 222000226206 370000377010 555000565515 1110001131030