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1310231120 = 245113148029
BaseRepresentation
bin100111000011000…
…1000101001010000
310101022102122012112
41032012020221100
510140404343440
6334002444452
744316531542
oct11606105120
93338378175
101310231120
11612656040
12306963728
1317b5aaab3
14c6025692
157a061965
hex4e188a50

1310231120 has 80 divisors (see below), whose sum is σ = 3430494720. Its totient is φ = 461068800.

The previous prime is 1310231099. The next prime is 1310231141. The reversal of 1310231120 is 211320131.

It is an interprime number because it is at equal distance from previous prime (1310231099) and next prime (1310231141).

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

It is a junction number, because it is equal to n+sod(n) for n = 1310231095 and 1310231104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3266 + ... + 51294.

It is an arithmetic number, because the mean of its divisors is an integer number (42881184).

Almost surely, 21310231120 is an apocalyptic number.

1310231120 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 1310231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715247360).

1310231120 is an abundant number, since it is smaller than the sum of its proper divisors (2120263600).

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

1310231120 is a wasteful number, since it uses less digits than its factorization.

1310231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48084 (or 48078 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1310231120 is about 36197.1148021496. The cubic root of 1310231120 is about 1094.2485256326.

Adding to 1310231120 its reverse (211320131), we get a palindrome (1521551251).

The spelling of 1310231120 in words is "one billion, three hundred ten million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 13640 27280 48029 96058 192116 240145 384232 480290 528319 768464 960580 1056638 1488899 1921160 2113276 2641595 2977798 3842320 4226552 5283190 5955596 7444495 8453104 10566380 11911192 14888990 16377889 21132760 23822384 29777980 32755778 42265520 59555960 65511556 81889445 119111920 131023112 163778890 262046224 327557780 655115560 1310231120