Search a number
-
+
1310235450030 = 233513563663031
BaseRepresentation
bin10011000100010000000…
…111100101101010101110
311122020221120011012002000
4103010100013211222232
5132431330233400110
62441525220513130
7163442566365513
oct23042007455256
94566846135060
101310235450030
11465738832301
12191b2324b7a6
1396729801750
14475b6abb30a
15241377e11c0
hex131101e5aae

1310235450030 has 128 divisors (see below), whose sum is σ = 3769416483840. Its totient is φ = 321946151040.

The previous prime is 1310235449983. The next prime is 1310235450071. The reversal of 1310235450030 is 300545320131.

1310235450030 is a `hidden beast` number, since 1 + 3 + 102 + 3 + 54 + 500 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1310235449976 and 1310235450003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1644615 + ... + 2307645.

It is an arithmetic number, because the mean of its divisors is an integer number (29448566280).

Almost surely, 21310235450030 is an apocalyptic number.

1310235450030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310235450030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884708241920).

1310235450030 is an abundant number, since it is smaller than the sum of its proper divisors (2459181033810).

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

1310235450030 is a wasteful number, since it uses less digits than its factorization.

1310235450030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663623 (or 663617 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 1310235450030 in words is "one trillion, three hundred ten billion, two hundred thirty-five million, four hundred fifty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 563 585 702 1126 1170 1689 1755 2815 3378 3510 5067 5630 7319 8445 10134 14638 15201 16890 21957 25335 30402 36595 43914 50670 65871 73190 76005 109785 131742 152010 197613 219570 329355 395226 658710 663031 988065 1326062 1976130 1989093 3315155 3978186 5967279 6630310 8619403 9945465 11934558 17238806 17901837 19890930 25858209 29836395 35803674 43097015 51716418 59672790 77574627 86194030 89509185 129291045 155149254 179018370 232723881 258582090 373286453 387873135 465447762 746572906 775746270 1119859359 1163619405 1866432265 2239718718 2327238810 3359578077 3732864530 4852723889 5599296795 6719156154 9705447778 10078734231 11198593590 14558171667 16797890385 20157468462 24263619445 29116343334 33595780770 43674515001 48527238890 50393671155 72790858335 87349030002 100787342310 131023545003 145581716670 218372575005 262047090006 436745150010 655117725015 1310235450030