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253340235135 = 325131777243703
BaseRepresentation
bin1110101111110001000…
…0010011010101111111
3220012220201100101022200
43223330100103111333
513122320100011020
6312214412242543
724206002316421
oct3537420232577
9805821311280
10253340235135
1198493a5a359
1241123170453
131ab750baaa0
14c3942a2811
1568cb1b8590
hex3afc41357f

253340235135 has 48 divisors (see below), whose sum is σ = 473169837504. Its totient is φ = 124650648576.

The previous prime is 253340235131. The next prime is 253340235139. The reversal of 253340235135 is 531532043352.

253340235135 is a `hidden beast` number, since 2 + 53 + 340 + 235 + 1 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (253340235131) and next prime (253340235139).

It is not a de Polignac number, because 253340235135 - 22 = 253340235131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253340235135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253340235131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 917694 + ... + 1161396.

It is an arithmetic number, because the mean of its divisors is an integer number (9857704948).

Almost surely, 2253340235135 is an apocalyptic number.

253340235135 is a deficient number, since it is larger than the sum of its proper divisors (219829602369).

253340235135 is a wasteful number, since it uses less digits than its factorization.

253340235135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245504 (or 245501 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 253340235135 its reverse (531532043352), we get a palindrome (784872278487).

The spelling of 253340235135 in words is "two hundred fifty-three billion, three hundred forty million, two hundred thirty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1777 5331 8885 15993 23101 26655 69303 79965 115505 207909 243703 346515 731109 1039545 1218515 2193327 3168139 3655545 9504417 10966635 15840695 28513251 47522085 142566255 433060231 1299180693 2165301155 3897542079 5629783003 6495903465 16889349009 19487710395 28148915015 50668047027 84446745045 253340235135