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1611139321 = 112412892
BaseRepresentation
bin110000000001000…
…0000100011111001
311011021122100122201
41200002000203321
511244422424241
6423512150201
754632313121
oct14002004371
94137570581
101611139321
1175749a900
1238b698361
131c8a3609c
14113d93c81
159669e931
hex600808f9

1611139321 has 27 divisors (see below), whose sum is σ = 1835792749. Its totient is φ = 1412892800.

The previous prime is 1611139319. The next prime is 1611139349. The reversal of 1611139321 is 1239311161.

The square root of 1611139321 is 40139.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 982132921 + 629006400 = 31339^2 + 25080^2 .

It is not a de Polignac number, because 1611139321 - 21 = 1611139319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1611139321.

It is not an unprimeable number, because it can be changed into a prime (1611139721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18102645 + ... + 18102733.

Almost surely, 21611139321 is an apocalyptic number.

1611139321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1611139321 is the 40139-th square number.

1611139321 is the 20070-th centered octagonal number.

It is an amenable number.

1611139321 is a deficient number, since it is larger than the sum of its proper divisors (224653428).

1611139321 is an frugal number, since it uses more digits than its factorization.

1611139321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its digits is 972, while the sum is 28.

The cubic root of 1611139321 is about 1172.3151181706.

The spelling of 1611139321 in words is "one billion, six hundred eleven million, one hundred thirty-nine thousand, three hundred twenty-one".

Divisors: 1 11 41 89 121 451 979 1681 3649 4961 7921 10769 18491 40139 87131 149609 203401 324761 441529 958441 1645699 3572371 13315201 18102689 39296081 146467211 1611139321