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42111211124 = 2216976203773
BaseRepresentation
bin100111001110000001…
…100001011001110100
311000200210200011201002
4213032001201121310
51142220432223444
631202353222432
73020361250163
oct471601413164
9130623604632
1042111211124
111694a754224
1281b2b61a18
133c81597308
142076b353da
151167015d4e
hex9ce061674

42111211124 has 12 divisors (see below), whose sum is σ = 73738057764. Its totient is φ = 21043194624.

The previous prime is 42111211123. The next prime is 42111211187.

42111211124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 24816331024 + 17294880100 = 157532^2 + 131510^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42111211096 and 42111211105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42111211123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3095099 + ... + 3108674.

It is an arithmetic number, because the mean of its divisors is an integer number (6144838147).

Almost surely, 242111211124 is an apocalyptic number.

It is an amenable number.

42111211124 is a deficient number, since it is larger than the sum of its proper divisors (31626846640).

42111211124 is a wasteful number, since it uses less digits than its factorization.

42111211124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205474 (or 6205472 counting only the distinct ones).

The product of its digits is 128, while the sum is 20.

The spelling of 42111211124 in words is "forty-two billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 4 1697 3394 6788 6203773 12407546 24815092 10527802781 21055605562 42111211124