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2122130213 = 71723775349
BaseRepresentation
bin111111001111101…
…0010001100100101
312110220011101101022
41332133102030211
513321231131323
6550324340525
7103405544360
oct17637221445
95426141338
102122130213
11999983925
124b2844745
1327a868a68
14161bab0d7
15c64894c8
hex7e7d2325

2122130213 has 16 divisors (see below), whose sum is σ = 2679609600. Its totient is φ = 1637534976.

The previous prime is 2122130201. The next prime is 2122130233. The reversal of 2122130213 is 3120312212.

It is not a de Polignac number, because 2122130213 - 28 = 2122129957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122130191 and 2122130200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122130233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384938 + ... + 390411.

It is an arithmetic number, because the mean of its divisors is an integer number (167475600).

Almost surely, 22122130213 is an apocalyptic number.

2122130213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2122130213 is a deficient number, since it is larger than the sum of its proper divisors (557479387).

2122130213 is a wasteful number, since it uses less digits than its factorization.

2122130213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775396.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2122130213 is about 46066.5845597435. The cubic root of 2122130213 is about 1285.0617871142.

Adding to 2122130213 its reverse (3120312212), we get a palindrome (5242442425).

The spelling of 2122130213 in words is "two billion, one hundred twenty-two million, one hundred thirty thousand, two hundred thirteen".

Divisors: 1 7 17 23 119 161 391 2737 775349 5427443 13180933 17833027 92266531 124831189 303161459 2122130213