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19831319001 = 3213891904477
BaseRepresentation
bin10010011110000010…
…011110100111011001
31220012002010101102100
4102132002132213121
5311103304202001
613035501554013
71301303300364
oct223602364731
956162111370
1019831319001
11845729853a
123a15575909
131b40767ab0
14d61b370db
157b104b586
hex49e09e9d9

19831319001 has 24 divisors (see below), whose sum is σ = 31195349640. Its totient is φ = 12066759936.

The previous prime is 19831318973. The next prime is 19831319017. The reversal of 19831319001 is 10091313891.

It can be written as a sum of positive squares in 4 ways, for example, as 633830976 + 19197488025 = 25176^2 + 138555^2 .

It is not a de Polignac number, because 19831319001 - 29 = 19831318489 is a prime.

It is a super-3 number, since 3×198313190013 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19831319021) 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, 941826 + ... + 962651.

It is an arithmetic number, because the mean of its divisors is an integer number (1299806235).

Almost surely, 219831319001 is an apocalyptic number.

It is an amenable number.

19831319001 is a deficient number, since it is larger than the sum of its proper divisors (11364030639).

19831319001 is a wasteful number, since it uses less digits than its factorization.

19831319001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904585 (or 1904582 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 19831319001 in words is "nineteen billion, eight hundred thirty-one million, three hundred nineteen thousand, one".

Divisors: 1 3 9 13 39 89 117 267 801 1157 3471 10413 1904477 5713431 17140293 24758201 74274603 169498453 222823809 508495359 1525486077 2203479889 6610439667 19831319001