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1310000000 = 2757131
BaseRepresentation
bin100111000010101…
…0000001110000000
310101021222220011112
41032011100032000
510140330000000
6333553502452
744314546661
oct11605201600
93337886145
101310000000
11612508431
12306871a28
1317b52983a
14c5da5368
157a018235
hex4e150380

1310000000 has 128 divisors (see below), whose sum is σ = 3287100960. Its totient is φ = 520000000.

The previous prime is 1309999987. The next prime is 1310000017. The reversal of 1310000000 is 131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13100000002 = 3432200000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999935 + ... + 10000065.

Almost surely, 21310000000 is an apocalyptic number.

1310000000 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 1310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643550480).

1310000000 is an abundant number, since it is smaller than the sum of its proper divisors (1977100960).

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

1310000000 is an frugal number, since it uses more digits than its factorization.

1310000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 1310000000 is about 36193.9221417077. The cubic root of 1310000000 is about 1094.1841813635.

Adding to 1310000000 its reverse (131), we get a palindrome (1310000131).

1310000000 divided by its reverse (131) gives a 7-th power (10000000 = 107).

The spelling of 1310000000 in words is "one billion, three hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 131 160 200 250 262 320 400 500 524 625 640 655 800 1000 1048 1250 1310 1600 2000 2096 2500 2620 3125 3200 3275 4000 4192 5000 5240 6250 6550 8000 8384 10000 10480 12500 13100 15625 16000 16375 16768 20000 20960 25000 26200 31250 32750 40000 41920 50000 52400 62500 65500 78125 80000 81875 83840 100000 104800 125000 131000 156250 163750 200000 209600 250000 262000 312500 327500 400000 409375 419200 500000 524000 625000 655000 818750 1000000 1048000 1250000 1310000 1637500 2000000 2046875 2096000 2500000 2620000 3275000 4093750 5000000 5240000 6550000 8187500 10000000 10234375 10480000 13100000 16375000 20468750 26200000 32750000 40937500 52400000 65500000 81875000 131000000 163750000 262000000 327500000 655000000 1310000000