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23322131001 = 32131921932861
BaseRepresentation
bin10101101110000110…
…110111101000111001
32020012100201000020200
4111232012313220321
5340230431143001
614414122112413
71453641562011
oct255606675071
966170630220
1023322131001
11998880a234
12462a64b709
132278a38320
1411b35c2c41
15917741086
hex56e1b7a39

23322131001 has 72 divisors (see below), whose sum is σ = 38500619976. Its totient is φ = 13521530880.

The previous prime is 23322130973. The next prime is 23322131011. The reversal of 23322131001 is 10013122332.

23322131001 is a `hidden beast` number, since 2 + 332 + 21 + 310 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195021225 + 23127109776 = 13965^2 + 152076^2 .

It is not a de Polignac number, because 23322131001 - 223 = 23313742393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23322131011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8150311 + ... + 8153171.

It is an arithmetic number, because the mean of its divisors is an integer number (534730833).

Almost surely, 223322131001 is an apocalyptic number.

It is an amenable number.

23322131001 is a deficient number, since it is larger than the sum of its proper divisors (15178488975).

23322131001 is a wasteful number, since it uses less digits than its factorization.

23322131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23322131001 its reverse (10013122332), we get a palindrome (33335253333).

The spelling of 23322131001 in words is "twenty-three billion, three hundred twenty-two million, one hundred thirty-one thousand, one".

Divisors: 1 3 9 13 19 39 57 117 171 193 247 361 579 741 1083 1737 2223 2509 2861 3249 3667 4693 7527 8583 11001 14079 22581 25749 33003 37193 42237 47671 54359 69673 111579 143013 163077 209019 334737 429039 489231 552173 627057 706667 905749 1032821 1656519 2120001 2717247 3098463 4969557 6360003 7178249 8151741 9295389 10491287 13426673 21534747 31473861 40280019 64604241 94421583 120840057 136386731 199334453 409160193 598003359 1227480579 1794010077 2591347889 7774043667 23322131001