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2123319 = 31137247
BaseRepresentation
bin1000000110011000110111
310222212122110
420012120313
51020421234
6113302103
724022302
oct10063067
93885573
102123319
111220310
12864933
13594603
143d3b39
152be1e9
hex206637

2123319 has 24 divisors (see below), whose sum is σ = 3241728. Its totient is φ = 1225440.

The previous prime is 2123309. The next prime is 2123327. The reversal of 2123319 is 9133212.

It is a happy number.

It is not a de Polignac number, because 2123319 - 28 = 2123063 is a prime.

It is a super-2 number, since 2×21233192 = 9016967151522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2123295 and 2123304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123309) 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, 45154 + ... + 45200.

It is an arithmetic number, because the mean of its divisors is an integer number (135072).

22123319 is an apocalyptic number.

2123319 is a deficient number, since it is larger than the sum of its proper divisors (1118409).

2123319 is a wasteful number, since it uses less digits than its factorization.

2123319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 98 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 2123319 is about 1457.1612813961. The cubic root of 2123319 is about 128.5301700067.

It can be divided in two parts, 2123 and 319, that added together give a palindrome (2442).

The spelling of 2123319 in words is "two million, one hundred twenty-three thousand, three hundred nineteen".

Divisors: 1 3 11 33 37 47 111 141 407 517 1221 1369 1551 1739 4107 5217 15059 19129 45177 57387 64343 193029 707773 2123319