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1310430120 = 233559185089
BaseRepresentation
bin100111000011011…
…1001001110101000
310101022210202011220
41032012321032220
510140432230440
6334011022040
744321320656
oct11606711650
93338722156
101310430120
116127815aa
12306a3a920
1317b64a54c
14c6077dd6
157a0a08d0
hex4e1b93a8

1310430120 has 64 divisors (see below), whose sum is σ = 3997944000. Its totient is φ = 343523328.

The previous prime is 1310430113. The next prime is 1310430137. The reversal of 1310430120 is 210340131.

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 1310430120.

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, 85465 + ... + 99624.

It is an arithmetic number, because the mean of its divisors is an integer number (62467875).

Almost surely, 21310430120 is an apocalyptic number.

1310430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310430120 is an abundant number, since it is smaller than the sum of its proper divisors (2687513880).

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

1310430120 is a wasteful number, since it uses less digits than its factorization.

1310430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185162 (or 185158 counting only the distinct ones).

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

The square root of 1310430120 is about 36199.8635356544. The cubic root of 1310430120 is about 1094.3039215674.

Adding to 1310430120 its reverse (210340131), we get a palindrome (1520770251).

It can be divided in two parts, 1310430 and 120, that multiplied together give a square (157251600 = 125402).

The spelling of 1310430120 in words is "one billion, three hundred ten million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 185089 370178 555267 740356 925445 1110534 1480712 1850890 2221068 2776335 3701780 4442136 5552670 7403560 10920251 11105340 21840502 22210680 32760753 43681004 54601255 65521506 87362008 109202510 131043012 163803765 218405020 262086024 327607530 436810040 655215060 1310430120