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103133222120 = 2352677796289
BaseRepresentation
bin110000000001100111…
…0000001010011101000
3100212012112100111222102
41200003032001103220
53142204101101440
6115213450512532
710310510631605
oct1400316012350
9325175314872
10103133222120
113a814019275
1217ba3135748
13995799a226
144dc52256ac
152a39346b15
hex18033814e8

103133222120 has 32 divisors (see below), whose sum is σ = 232060825800. Its totient is φ = 41251319808.

The previous prime is 103133222089. The next prime is 103133222149. The reversal of 103133222120 is 21222331301.

It can be written as a sum of positive squares in 4 ways, for example, as 68982921316 + 34150300804 = 262646^2 + 184798^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103133222092 and 103133222101.

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 7 ways as a sum of consecutive naturals, for example, 1022936 + ... + 1119224.

Almost surely, 2103133222120 is an apocalyptic number.

103133222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103133222120 is an abundant number, since it is smaller than the sum of its proper divisors (128927603680).

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

103133222120 is a wasteful number, since it uses less digits than its factorization.

103133222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123077 (or 123073 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103133222120 its reverse (21222331301), we get a palindrome (124355553421).

The spelling of 103133222120 in words is "one hundred three billion, one hundred thirty-three million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 26777 53554 96289 107108 133885 192578 214216 267770 385156 481445 535540 770312 962890 1071080 1925780 3851560 2578330553 5156661106 10313322212 12891652765 20626644424 25783305530 51566611060 103133222120