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1341131120 = 245714916073
BaseRepresentation
bin100111111110000…
…0000100101110000
310110110120112000222
41033330000211300
510221312143440
6341025032212
745143266160
oct11774004560
93413515028
101341131120
1162904072a
12315185668
13184b09614
14ca18a5a0
157cb172b5
hex4ff00970

1341131120 has 80 divisors (see below), whose sum is σ = 3587716800. Its totient is φ = 456701952.

The previous prime is 1341131117. The next prime is 1341131123. The reversal of 1341131120 is 211311431.

It is an interprime number because it is at equal distance from previous prime (1341131117) and next prime (1341131123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341131123) 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, 75404 + ... + 91476.

It is an arithmetic number, because the mean of its divisors is an integer number (44846460).

Almost surely, 21341131120 is an apocalyptic number.

1341131120 is a gapful number since it is divisible by the number (10) 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 1341131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793858400).

1341131120 is an abundant number, since it is smaller than the sum of its proper divisors (2246585680).

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

1341131120 is a wasteful number, since it uses less digits than its factorization.

1341131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16242 (or 16236 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1341131120 is about 36621.4570982641. The cubic root of 1341131120 is about 1102.7838907075.

Adding to 1341131120 its reverse (211311431), we get a palindrome (1552442551).

The spelling of 1341131120 in words is "one billion, three hundred forty-one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 149 280 298 560 596 745 1043 1192 1490 2086 2384 2980 4172 5215 5960 8344 10430 11920 16073 16688 20860 32146 41720 64292 80365 83440 112511 128584 160730 225022 257168 321460 450044 562555 642920 900088 1125110 1285840 1800176 2250220 2394877 4500440 4789754 9000880 9579508 11974385 16764139 19159016 23948770 33528278 38318032 47897540 67056556 83820695 95795080 134113112 167641390 191590160 268226224 335282780 670565560 1341131120