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160401111253 = 3789157461673
BaseRepresentation
bin1001010101100010100…
…1101011100011010101
3120100000121222201012021
42111120221223203111
510112000141030003
6201404240253141
714405613643525
oct2253051534325
9510017881167
10160401111253
1162031277a69
12271060111b1
13121833a9c66
147a98cc7685
15428bcc02bd
hex2558a6b8d5

160401111253 has 32 divisors (see below), whose sum is σ = 168261619680. Its totient is φ = 152769576960.

The previous prime is 160401111239. The next prime is 160401111259. The reversal of 160401111253 is 352111104061.

160401111253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 53797555249 + 106603556004 = 231943^2 + 326502^2 .

It is a cyclic number.

It is not a de Polignac number, because 160401111253 - 225 = 160367556821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160401111259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238337125 + ... + 238337797.

It is an arithmetic number, because the mean of its divisors is an integer number (5258175615).

Almost surely, 2160401111253 is an apocalyptic number.

It is an amenable number.

160401111253 is a deficient number, since it is larger than the sum of its proper divisors (7860508427).

160401111253 is a wasteful number, since it uses less digits than its factorization.

160401111253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417.

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 160401111253 in words is "one hundred sixty billion, four hundred one million, one hundred eleven thousand, two hundred fifty-three".

Divisors: 1 37 89 157 461 673 3293 5809 13973 17057 24901 41029 59897 72377 105661 310253 517001 1518073 2216189 2677949 3909457 6441553 9403829 11479361 27612517 48709721 238337461 347941673 1021663129 1802259677 4335165169 160401111253