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1310141120 = 26529141179
BaseRepresentation
bin100111000010111…
…0010101011000000
310101022021001202012
41032011302223000
510140344003440
6334000512052
744316005261
oct11605625300
93338231665
101310141120
116125a4462
1230691b628
1317b578b42
14c6000968
157a044e65
hex4e172ac0

1310141120 has 56 divisors (see below), whose sum is σ = 3227374800. Its totient is φ = 505981952.

The previous prime is 1310141113. The next prime is 1310141123. The reversal of 1310141120 is 211410131.

It is a junction number, because it is equal to n+sod(n) for n = 1310141095 and 1310141104.

It is not an unprimeable number, because it can be changed into a prime (1310141123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61310 + ... + 79869.

Almost surely, 21310141120 is an apocalyptic number.

1310141120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310141120 is an abundant number, since it is smaller than the sum of its proper divisors (1917233680).

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

1310141120 is a wasteful number, since it uses less digits than its factorization.

1310141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141225 (or 141215 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1310141120 is about 36195.8715877930. The cubic root of 1310141120 is about 1094.2234703527.

Adding to 1310141120 its reverse (211410131), we get a palindrome (1521551251).

The spelling of 1310141120 in words is "one billion, three hundred ten million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 141179 282358 564716 705895 1129432 1411790 2258864 2823580 4094191 4517728 5647160 8188382 9035456 11294320 16376764 20470955 22588640 32753528 40941910 45177280 65507056 81883820 131014112 163767640 262028224 327535280 655070560 1310141120