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160840300401 = 3411240512
BaseRepresentation
bin1001010111001011010…
…1000011011101110001
3120101011020101211110000
42111302311003131301
510113400104103101
6201520005500213
714422525665414
oct2256265033561
9511136354400
10160840300401
116223717a300
1227209111669
131222338ccb1
147adb36db7b
1542b5625486
hex2572d43771

160840300401 has 45 divisors (see below), whose sum is σ = 264161010729. Its totient is φ = 97454907000.

The previous prime is 160840300393. The next prime is 160840300417. The reversal of 160840300401 is 104003048061.

The square root of 160840300401 is 401049.

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

It is not a de Polignac number, because 160840300401 - 23 = 160840300393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (160840300471) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39701826 + ... + 39705876.

Almost surely, 2160840300401 is an apocalyptic number.

160840300401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

160840300401 is the 401049-th square number.

160840300401 is the 200525-th centered octagonal number.

It is an amenable number.

160840300401 is a deficient number, since it is larger than the sum of its proper divisors (103320710328).

160840300401 is an frugal number, since it uses more digits than its factorization.

160840300401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8136 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 160840300401 by its product of nonzero digits (2304), we get a square (370576052123904 = 192503522).

Adding to 160840300401 its reverse (104003048061), we get a palindrome (264843348462).

The spelling of 160840300401 in words is "one hundred sixty billion, eight hundred forty million, three hundred thousand, four hundred one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 4051 9801 12153 36459 44561 109377 133683 328131 401049 490171 1203147 1470513 3609441 4411539 13234617 16410601 39703851 49231803 147695409 180516611 443086227 541549833 1329258681 1624649499 1985682721 4873948497 5957048163 14621845491 17871144489 53613433467 160840300401