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2122103013 = 31726173967
BaseRepresentation
bin111111001111100…
…1011100011100101
312110220010000001220
41332133023203211
513321224244023
6550324010553
7103405402152
oct17637134345
95426100056
102122103013
11999965448
124b2830a59
1327a859574
14161ba1229
15c64813e3
hex7e7cb8e5

2122103013 has 24 divisors (see below), whose sum is σ = 3011331072. Its totient is φ = 1329022464.

The previous prime is 2122103003. The next prime is 2122103023. The reversal of 2122103013 is 3103012212.

It is an interprime number because it is at equal distance from previous prime (2122103003) and next prime (2122103023).

It is not a de Polignac number, because 2122103013 - 28 = 2122102757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122102983 and 2122103001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122103003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532956 + ... + 536922.

It is an arithmetic number, because the mean of its divisors is an integer number (125472128).

Almost surely, 22122103013 is an apocalyptic number.

It is an amenable number.

2122103013 is a deficient number, since it is larger than the sum of its proper divisors (889228059).

2122103013 is a wasteful number, since it uses less digits than its factorization.

2122103013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2122103013 is about 46066.2893339587. The cubic root of 2122103013 is about 1285.0562967458.

Adding to 2122103013 its reverse (3103012212), we get a palindrome (5225115225).

The spelling of 2122103013 in words is "two billion, one hundred twenty-two million, one hundred three thousand, thirteen".

Divisors: 1 3 17 51 289 617 867 1851 3967 10489 11901 31467 67439 178313 202317 534939 1146463 2447639 3439389 7342917 41609863 124829589 707367671 2122103013