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1255216131 = 3213174211499
BaseRepresentation
bin100101011010001…
…0001010000000011
310020110220120211100
41022310101100003
510032313404011
6324315345443
743051106151
oct11264212003
93213816740
101255216131
1159459a504
122b0452283
13170087b50
14bc9c43d1
15752e5d56
hex4ad11403

1255216131 has 48 divisors (see below), whose sum is σ = 2073708000. Its totient is φ = 724792320.

The previous prime is 1255216129. The next prime is 1255216141. The reversal of 1255216131 is 1316125521.

1255216131 is a `hidden beast` number, since 1 + 2 + 5 + 521 + 6 + 131 = 666.

It is not a de Polignac number, because 1255216131 - 21 = 1255216129 is a prime.

It is a super-3 number, since 3×12552161313 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1255216095 and 1255216104.

It is not an unprimeable number, because it can be changed into a prime (1255216121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836620 + ... + 838118.

It is an arithmetic number, because the mean of its divisors is an integer number (43202250).

Almost surely, 21255216131 is an apocalyptic number.

1255216131 is a deficient number, since it is larger than the sum of its proper divisors (818491869).

1255216131 is a wasteful number, since it uses less digits than its factorization.

1255216131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1953 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 1255216131 is about 35429.0294955987. The cubic root of 1255216131 is about 1078.7136407852.

The spelling of 1255216131 in words is "one billion, two hundred fifty-five million, two hundred sixteen thousand, one hundred thirty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 421 663 1263 1499 1989 3789 4497 5473 7157 13491 16419 19487 21471 25483 49257 58461 64413 76449 93041 175383 229347 279123 331279 631079 837369 993837 1893237 2981511 5679711 8204027 10728343 24612081 32185029 73836243 96555087 139468459 418405377 1255216131