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1310342100 = 2235231140897
BaseRepresentation
bin100111000011010…
…0011101111010100
310101022122021102220
41032012203233110
510140421421400
6334005102340
744320503234
oct11606435724
93338567386
101310342100
11612721461
123069b79b0
1317b619472
14c6053cc4
157a0847a0
hex4e1a3bd4

1310342100 has 72 divisors (see below), whose sum is σ = 3913582848. Its totient is φ = 338150400.

The previous prime is 1310342081. The next prime is 1310342107. The reversal of 1310342100 is 12430131.

1310342100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1310342100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310342107) 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, 61149 + ... + 79748.

Almost surely, 21310342100 is an apocalyptic number.

1310342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310342100 is an abundant number, since it is smaller than the sum of its proper divisors (2603240748).

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

1310342100 is a wasteful number, since it uses less digits than its factorization.

1310342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140945 (or 140938 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1310342100 is about 36198.6477647992. The cubic root of 1310342100 is about 1094.2794199969.

Adding to 1310342100 its reverse (12430131), we get a palindrome (1322772231).

The spelling of 1310342100 in words is "one billion, three hundred ten million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 140897 281794 422691 563588 704485 845382 1408970 1690764 2113455 2817940 3522425 4226910 4367807 7044850 8453820 8735614 10567275 13103421 14089700 17471228 21134550 21839035 26206842 42269100 43678070 52413684 65517105 87356140 109195175 131034210 218390350 262068420 327585525 436780700 655171050 1310342100