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1110132331000 = 235371114417303
BaseRepresentation
bin10000001001111001000…
…010110001000111111000
310221010110000211111212021
4100021321002301013320
5121142022334043000
62205553204324224
7143130054056110
oct20117102610770
93833400744767
101110132331000
1139889383a270
1215b1990a3674
13808ba0191c4
143ba33036040
151dd2529d11a
hex102790b11f8

1110132331000 has 128 divisors (see below), whose sum is σ = 3238703170560. Its totient is φ = 346015248000.

The previous prime is 1110132330971. The next prime is 1110132331013. The reversal of 1110132331000 is 1332310111.

It is a super-2 number, since 2×11101323310002 (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 7131652 + ... + 7285651.

It is an arithmetic number, because the mean of its divisors is an integer number (25302368520).

Almost surely, 21110132331000 is an apocalyptic number.

1110132331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110132331000 is an abundant number, since it is smaller than the sum of its proper divisors (2128570839560).

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

1110132331000 is a wasteful number, since it uses less digits than its factorization.

1110132331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14417342 (or 14417328 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1110132331000 its reverse (1332310111), we get a palindrome (1111464641111).

The spelling of 1110132331000 in words is "one trillion, one hundred ten billion, one hundred thirty-two million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 14417303 28834606 57669212 72086515 100921121 115338424 144173030 158590333 201842242 288346060 317180666 360432575 403684484 504605605 576692120 634361332 720865150 792951665 807368968 1009211210 1110132331 1268722664 1441730300 1585903330 1802162875 2018422420 2220264662 2523028025 2883460600 3171806660 3604325750 3964758325 4036844840 4440529324 5046056050 5550661655 6343613320 7208651500 7929516650 8881058648 10092112100 11101323310 12615140125 14417303000 15859033300 19823791625 20184224200 22202646620 25230280250 27753308275 31718066600 39647583250 44405293240 50460560500 55506616550 79295166500 100921121000 111013233100 138766541375 158590333000 222026466200 277533082750 555066165500 1110132331000