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1311513030 = 2325113128959
BaseRepresentation
bin100111000101100…
…0001100111000110
310101101211202122200
41032023001213012
510141221404110
6334050135330
744333451102
oct11613014706
93341752580
101311513030
11613351173
12307281546
1317b939419
14c627a902
157a2166c0
hex4e2c19c6

1311513030 has 48 divisors (see below), whose sum is σ = 3440136960. Its totient is φ = 346639104.

The previous prime is 1311513013. The next prime is 1311513031. The reversal of 1311513030 is 303151131.

1311513030 is a `hidden beast` number, since 1 + 311 + 51 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1311512994 and 1311513012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311513031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54310 + ... + 74649.

It is an arithmetic number, because the mean of its divisors is an integer number (71669520).

Almost surely, 21311513030 is an apocalyptic number.

1311513030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1311513030 is an abundant number, since it is smaller than the sum of its proper divisors (2128623930).

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

1311513030 is a wasteful number, since it uses less digits than its factorization.

1311513030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129085 (or 129082 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1311513030 is about 36214.8178236478. The cubic root of 1311513030 is about 1094.6052746278.

Adding to 1311513030 its reverse (303151131), we get a palindrome (1614664161).

The spelling of 1311513030 in words is "one billion, three hundred eleven million, five hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 128959 257918 386877 644795 773754 1160631 1289590 1934385 2321262 3868770 5803155 11606310 14572367 29144734 43717101 72861835 87434202 131151303 145723670 218585505 262302606 437171010 655756515 1311513030