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103133320101 = 32719287929927
BaseRepresentation
bin110000000001100111…
…0011001001110100101
3100212012112112111101100
41200003032121032211
53142204112220401
6115213452550313
710310511520350
oct1400316311645
9325175474340
10103133320101
113a814085949
1217ba3182399
139957a029c6
144dc524d297
152a39365b86
hex18033993a5

103133320101 has 48 divisors (see below), whose sum is σ = 179280691200. Its totient is φ = 55810314144.

The previous prime is 103133320099. The next prime is 103133320127. The reversal of 103133320101 is 101023331301.

It is a happy number.

103133320101 is a `hidden beast` number, since 10 + 313 + 332 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 103133320101 - 21 = 103133320099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103133320501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3431200 + ... + 3461126.

It is an arithmetic number, because the mean of its divisors is an integer number (3735014400).

Almost surely, 2103133320101 is an apocalyptic number.

It is an amenable number.

103133320101 is a deficient number, since it is larger than the sum of its proper divisors (76147371099).

103133320101 is a wasteful number, since it uses less digits than its factorization.

103133320101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32838 (or 32835 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103133320101 its reverse (101023331301), we get a palindrome (204156651402).

The spelling of 103133320101 in words is "one hundred three billion, one hundred thirty-three million, three hundred twenty thousand, one hundred one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 2879 8637 20153 25911 29927 54701 60459 89781 164103 181377 209489 269343 382907 492309 568613 628467 1148721 1705839 1885401 3446163 3980291 5117517 11940873 35822619 86159833 258479499 603118831 775438497 1637036827 1809356493 4911110481 5428069479 11459257789 14733331443 34377773367 103133320101