Search a number
-
+
1121123113020 = 223354024151593
BaseRepresentation
bin10000010100001000001…
…001010001100000111100
310222011210222221002102000
4100110020021101200330
5121332030004104040
62215011543102300
7143666322140301
oct20241011214074
93864728832360
101121123113020
113a2513851499
12161345a41990
138194c066c11
143c3969c70a8
151e26a11b130
hex1050825183c

1121123113020 has 96 divisors (see below), whose sum is σ = 3488092856640. Its totient is φ = 298952939520.

The previous prime is 1121123113013. The next prime is 1121123113031. The reversal of 1121123113020 is 203113211211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1121123112984 and 1121123113002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21704344 + ... + 21755936.

It is an arithmetic number, because the mean of its divisors is an integer number (36334300590).

Almost surely, 21121123113020 is an apocalyptic number.

1121123113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121123113020 is an abundant number, since it is smaller than the sum of its proper divisors (2366969743620).

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

1121123113020 is a wasteful number, since it uses less digits than its factorization.

1121123113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91852 (or 91844 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1121123113020 its reverse (203113211211), we get a palindrome (1324236324231).

The spelling of 1121123113020 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-three million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 40241 51593 80482 103186 120723 154779 160964 201205 206372 241446 257965 309558 362169 402410 464337 482892 515930 603615 619116 724338 773895 804820 928674 1031860 1086507 1207230 1393011 1448676 1547790 1810845 1857348 2173014 2321685 2414460 2786022 3095580 3621690 4346028 4643370 5432535 5572044 6965055 7243380 9286740 10865070 13930110 21730140 27860220 2076153913 4152307826 6228461739 8304615652 10380769565 12456923478 18685385217 20761539130 24913846956 31142308695 37370770434 41523078260 56056155651 62284617390 74741540868 93426926085 112112311302 124569234780 186853852170 224224622604 280280778255 373707704340 560561556510 1121123113020