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2123563541 = 112947141637
BaseRepresentation
bin111111010010011…
…0000001000010101
312110222212012112112
41332210300020111
513322113013131
6550415200405
7103423664231
oct17644601025
95428765475
102123563541
1199a7727a0
124b3216105
1327ac4b298
141620615c1
15c666e02b
hex7e930215

2123563541 has 16 divisors (see below), whose sum is σ = 2447504640. Its totient is φ = 1824271680.

The previous prime is 2123563531. The next prime is 2123563543. The reversal of 2123563541 is 1453653212.

It is a happy number.

It is not a de Polignac number, because 2123563541 - 222 = 2119369237 is a prime.

It is a super-2 number, since 2×21235635412 = 9019044225328917362, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2123563498 and 2123563507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123563543) 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, 55826 + ... + 85811.

It is an arithmetic number, because the mean of its divisors is an integer number (152969040).

Almost surely, 22123563541 is an apocalyptic number.

It is an amenable number.

2123563541 is a deficient number, since it is larger than the sum of its proper divisors (323941099).

2123563541 is a wasteful number, since it uses less digits than its factorization.

2123563541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141724.

The product of its digits is 21600, while the sum is 32.

The square root of 2123563541 is about 46082.1390671049. The cubic root of 2123563541 is about 1285.3510405723.

The spelling of 2123563541 in words is "two billion, one hundred twenty-three million, five hundred sixty-three thousand, five hundred forty-one".

Divisors: 1 11 29 47 319 517 1363 14993 141637 1558007 4107473 6656939 45182203 73226329 193051231 2123563541