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112204124253 = 3213612972657
BaseRepresentation
bin110100001111111100…
…0110001000001011101
3101201121200212002102200
41220133320301001131
53314243223434003
6123313523442113
711051344214454
oct1503770610135
9351550762380
10112204124253
1143649337301
12198b4b26339
13a772043840
145605c15b9b
152dba87b6a3
hex1a1fe3105d

112204124253 has 72 divisors (see below), whose sum is σ = 179344796904. Its totient is φ = 67191275520.

The previous prime is 112204124231. The next prime is 112204124273. The reversal of 112204124253 is 352421402211.

112204124253 is a `hidden beast` number, since 1 + 1 + 220 + 4 + 12 + 425 + 3 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 92681886969 + 19522237284 = 304437^2 + 139722^2 .

It is not a de Polignac number, because 112204124253 - 236 = 43484647517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112204124273) 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 71 ways as a sum of consecutive naturals, for example, 42228301 + ... + 42230957.

It is an arithmetic number, because the mean of its divisors is an integer number (2490899957).

Almost surely, 2112204124253 is an apocalyptic number.

112204124253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112204124253 is a deficient number, since it is larger than the sum of its proper divisors (67140672651).

112204124253 is a wasteful number, since it uses less digits than its factorization.

112204124253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 112204124253 its reverse (352421402211), we get a palindrome (464625526464).

The spelling of 112204124253 in words is "one hundred twelve billion, two hundred four million, one hundred twenty-four thousand, two hundred fifty-three".

Divisors: 1 3 9 13 39 61 97 117 183 291 549 793 873 1261 2379 2657 3721 3783 5917 7137 7971 11163 11349 17751 23913 33489 34541 48373 53253 76921 103623 145119 162077 230763 257729 310869 360937 435357 486231 692289 773187 1082811 1458693 2107001 2319561 3248433 3350477 4692181 6321003 9886697 10051431 14076543 15721469 18963009 29660091 30154293 42229629 47164407 88980273 128527061 141493221 204379097 385581183 613137291 959009609 1156743549 1839411873 2877028827 8631086481 12467124917 37401374751 112204124253