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1110103011640 = 235783293163027
BaseRepresentation
bin10000001001110111010…
…010111011000100111000
310221010100222122221021001
4100021313102323010320
5121141442332333030
62205550240054344
7143126246623660
oct20116722730470
93833328587231
101110103011640
11398879234197
1215b18b3043b4
13808b3c21c7c
143ba2d1a31a0
151dd2290acca
hex102774bb138

1110103011640 has 128 divisors (see below), whose sum is σ = 2898820431360. Its totient is φ = 374735476224.

The previous prime is 1110103011629. The next prime is 1110103011649. The reversal of 1110103011640 is 461103010111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110103011649) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6727807 + ... + 6890833.

It is an arithmetic number, because the mean of its divisors is an integer number (22647034620).

Almost surely, 21110103011640 is an apocalyptic number.

1110103011640 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 1110103011640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449410215680).

1110103011640 is an abundant number, since it is smaller than the sum of its proper divisors (1788717419720).

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

1110103011640 is a wasteful number, since it uses less digits than its factorization.

1110103011640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163421 (or 163417 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1110103011640 its reverse (461103010111), we get a palindrome (1571206021751).

The spelling of 1110103011640 in words is "one trillion, one hundred ten billion, one hundred three million, eleven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 293 332 415 581 586 664 830 1162 1172 1465 1660 2051 2324 2344 2905 2930 3320 4102 4648 5810 5860 8204 10255 11620 11720 16408 20510 23240 24319 41020 48638 82040 97276 121595 163027 170233 194552 243190 326054 340466 486380 652108 680932 815135 851165 972760 1141189 1304216 1361864 1630270 1702330 2282378 3260540 3404660 4564756 5705945 6521080 6809320 9129512 11411890 13531241 22823780 27062482 45647560 47766911 54124964 67656205 94718687 95533822 108249928 135312410 189437374 191067644 238834555 270624820 334368377 378874748 382135288 473593435 477669110 541249640 668736754 757749496 947186870 955338220 1337473508 1671841885 1894373740 1910676440 2674947016 3343683770 3788747480 3964653613 6687367540 7929307226 13374735080 15858614452 19823268065 27752575291 31717228904 39646536130 55505150582 79293072260 111010301164 138762876455 158586144520 222020602328 277525752910 555051505820 1110103011640