Search a number
-
+
1310022211120 = 245723101709799
BaseRepresentation
bin10011000100000011011…
…010001001011000110000
311122020101200220112021121
4103010003122021120300
5132430411141223440
62441452122232024
7163434400031650
oct23040332113060
94566350815247
101310022211120
114656394277a7
12191a83955614
13966c459058c
1447596650360
1524123c1e34a
hex13103689630

1310022211120 has 80 divisors (see below), whose sum is σ = 3632260377600. Its totient is φ = 429622186752.

The previous prime is 1310022211117. The next prime is 1310022211129. The reversal of 1310022211120 is 211122200131.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1310022211094 and 1310022211103.

It is not an unprimeable number, because it can be changed into a prime (1310022211129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50842020 + ... + 50867779.

It is an arithmetic number, because the mean of its divisors is an integer number (45403254720).

Almost surely, 21310022211120 is an apocalyptic number.

1310022211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310022211120 is an abundant number, since it is smaller than the sum of its proper divisors (2322238166480).

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

1310022211120 is a wasteful number, since it uses less digits than its factorization.

1310022211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101709842 (or 101709836 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1310022211120 its reverse (211122200131), we get a palindrome (1521144411251).

The spelling of 1310022211120 in words is "one trillion, three hundred ten billion, twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 12880 101709799 203419598 406839196 508548995 711968593 813678392 1017097990 1423937186 1627356784 2034195980 2339325377 2847874372 3559842965 4068391960 4678650754 5695748744 7119685930 8136783920 9357301508 11391497488 11696626885 14239371860 16375277639 18714603016 23393253770 28478743720 32750555278 37429206032 46786507540 56957487440 65501110556 81876388195 93573015080 131002221112 163752776390 187146030160 262004442224 327505552780 655011105560 1310022211120