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1311141252 = 2231737317231
BaseRepresentation
bin100111000100110…
…0110110110000100
310101101010212200010
41032021212312010
510141123010002
6334034150220
744330342151
oct11611466604
93341125603
101311141252
11613117913
12307122370
1317b839135
14c61c1228
157a19146c
hex4e266d84

1311141252 has 48 divisors (see below), whose sum is σ = 3248163072. Its totient is φ = 410211840.

The previous prime is 1311141241. The next prime is 1311141253. The reversal of 1311141252 is 2521411131.

It is a super-2 number, since 2×13111412522 = 3438182765392255008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311141253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67477 + ... + 84707.

It is an arithmetic number, because the mean of its divisors is an integer number (67670064).

Almost surely, 21311141252 is an apocalyptic number.

1311141252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311141252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624081536).

1311141252 is an abundant number, since it is smaller than the sum of its proper divisors (1937021820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311141252 is a wasteful number, since it uses less digits than its factorization.

1311141252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17628 (or 17626 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 1311141252 is about 36209.6845056678. The cubic root of 1311141252 is about 1094.5018346544.

Adding to 1311141252 its reverse (2521411131), we get a palindrome (3832552383).

The spelling of 1311141252 in words is "one billion, three hundred eleven million, one hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 373 746 1119 1492 2238 4476 6341 12682 17231 19023 25364 34462 38046 51693 68924 76092 103386 206772 292927 585854 878781 1171708 1757562 3515124 6427163 12854326 19281489 25708652 38562978 77125956 109261771 218523542 327785313 437047084 655570626 1311141252