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1110345413020 = 225175961907397
BaseRepresentation
bin10000001010000101101…
…111100111000110011100
310221010222212210012102221
4100022011233213012130
5121142441411204040
62210030255355124
7143135252200354
oct20120557470634
93833885705387
101110345413020
11398993047a08
1215b238522aa4
1380922203b3c
143ba53461b64
151dd38d3d74a
hex10285be719c

1110345413020 has 96 divisors (see below), whose sum is σ = 2551893543360. Its totient is φ = 404190474240.

The previous prime is 1110345413017. The next prime is 1110345413033. The reversal of 1110345413020 is 203145430111.

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 31 ways as a sum of consecutive naturals, for example, 769962 + ... + 1677358.

It is an arithmetic number, because the mean of its divisors is an integer number (26582224410).

Almost surely, 21110345413020 is an apocalyptic number.

1110345413020 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 1110345413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275946771680).

1110345413020 is an abundant number, since it is smaller than the sum of its proper divisors (1441548130340).

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

1110345413020 is a wasteful number, since it uses less digits than its factorization.

1110345413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907543 (or 907541 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 1110345413020 in words is "one trillion, one hundred ten billion, three hundred forty-five million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 59 61 68 85 118 122 170 236 244 295 305 340 590 610 1003 1037 1180 1220 2006 2074 3599 4012 4148 5015 5185 7198 10030 10370 14396 17995 20060 20740 35990 61183 71980 122366 244732 305915 611830 907397 1223660 1814794 3629588 4536985 9073970 15425749 18147940 30851498 53536423 55351217 61702996 77128745 107072846 110702434 154257490 214145692 221404868 267682115 276756085 308514980 535364230 553512170 910119191 940970689 1070728460 1107024340 1820238382 1881941378 3265721803 3640476764 3763882756 4550595955 4704853445 6531443606 9101191910 9409706890 13062887212 16328609015 18202383820 18819413780 32657218030 55517270651 65314436060 111034541302 222069082604 277586353255 555172706510 1110345413020