Search a number
-
+
103022121319 = 132137232479
BaseRepresentation
bin101111111110010011…
…0001101000101100111
3100211220210022000022221
41133330212031011213
53141442130340234
6115154441333211
710304661403555
oct1377446150547
9324823260287
10103022121319
113a767335627
1217b71a97207
13993a96ab00
144db4584bd5
152a2e6eceb4
hex17fc98d167

103022121319 has 18 divisors (see below), whose sum is σ = 112380182880. Its totient is φ = 94400294976.

The previous prime is 103022121313. The next prime is 103022121431. The reversal of 103022121319 is 913121220301.

It is not a de Polignac number, because 103022121319 - 223 = 103013732711 is a prime.

It is a super-2 number, since 2×1030221213192 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103022121293 and 103022121302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103022121313) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3155722 + ... + 3188200.

Almost surely, 2103022121319 is an apocalyptic number.

103022121319 is a deficient number, since it is larger than the sum of its proper divisors (9358061561).

103022121319 is an equidigital number, since it uses as much as digits as its factorization.

103022121319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32779 (or 32629 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 103022121319 in words is "one hundred three billion, twenty-two million, one hundred twenty-one thousand, three hundred nineteen".

Divisors: 1 13 137 169 1781 18769 23153 32479 243997 422227 3171961 4449623 5488951 57845099 609598351 751986287 7924778563 103022121319