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1292992921 = 11197978311
BaseRepresentation
bin100110100010001…
…1000000110011001
310100002222211211201
41031010120012121
510122001233141
6332145154201
744020154443
oct11504300631
93302884751
101292992921
116039517a0
1230102b961
13177b5378c
14c3a19493
15787a9031
hex4d118199

1292992921 has 16 divisors (see below), whose sum is σ = 1503590400. Its totient is φ = 1099472400.

The previous prime is 1292992879. The next prime is 1292992951.

1292992921 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1292992921 is a prime.

It is a super-3 number, since 3×12929929213 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1292992951) 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, 22645 + ... + 55666.

It is an arithmetic number, because the mean of its divisors is an integer number (93974400).

Almost surely, 21292992921 is an apocalyptic number.

1292992921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1292992921 is a deficient number, since it is larger than the sum of its proper divisors (210597479).

1292992921 is a wasteful number, since it uses less digits than its factorization.

1292992921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78420.

The product of its digits is 104976, while the sum is 46.

The square root of 1292992921 is about 35958.2107591576. The cubic root of 1292992921 is about 1089.4284580444.

The spelling of 1292992921 in words is "one billion, two hundred ninety-two million, nine hundred ninety-two thousand, nine hundred twenty-one".

Divisors: 1 11 19 79 209 869 1501 16511 78311 861421 1487909 6186569 16366999 68052259 117544811 1292992921