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103320133104 = 24318329117437
BaseRepresentation
bin110000000111001011…
…1000001110111110000
3100212200120001120122110
41200032113001313300
53143044423224404
6115244205005320
710315240432566
oct1401627016760
9325616046573
10103320133104
113a8aa581261
1218035853840
139987620946
145001d9ba36
152a4a967b89
hex180e5c1df0

103320133104 has 40 divisors (see below), whose sum is σ = 266927178960. Its totient is φ = 34437872128.

The previous prime is 103320133051. The next prime is 103320133129. The reversal of 103320133104 is 401331023301.

103320133104 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 821074 + ... + 938510.

It is an arithmetic number, because the mean of its divisors is an integer number (6673179474).

Almost surely, 2103320133104 is an apocalyptic number.

It is an amenable number.

103320133104 is an abundant number, since it is smaller than the sum of its proper divisors (163607045856).

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

103320133104 is a wasteful number, since it uses less digits than its factorization.

103320133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135777 (or 135771 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103320133104 its reverse (401331023301), we get a palindrome (504651156405).

The spelling of 103320133104 in words is "one hundred three billion, three hundred twenty million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 18329 36658 54987 73316 109974 117437 146632 219948 234874 293264 352311 439896 469748 704622 879792 939496 1409244 1878992 2818488 5636976 2152502773 4305005546 6457508319 8610011092 12915016638 17220022184 25830033276 34440044368 51660066552 103320133104