Search a number
-
+
1310200023120 = 24358276601169
BaseRepresentation
bin10011000100001110000…
…000011100100001010000
311122020212002111022111020
4103010032000130201100
5132431242201214440
62441521513315440
7163441656305202
oct23041600344120
94566762438436
101310200023120
1146571a83556a
12191b13405b80
1396722379591
14475b20d8772
15241346443d0
hex1310e01c850

1310200023120 has 80 divisors (see below), whose sum is σ = 4066531957440. Its totient is φ = 348964145152.

The previous prime is 1310200023071. The next prime is 1310200023193. The reversal of 1310200023120 is 213200020131.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1310200023120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3102105 + ... + 3499064.

It is an arithmetic number, because the mean of its divisors is an integer number (50831649468).

Almost surely, 21310200023120 is an apocalyptic number.

1310200023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310200023120 is an abundant number, since it is smaller than the sum of its proper divisors (2756331934320).

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

1310200023120 is a wasteful number, since it uses less digits than its factorization.

1310200023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602012 (or 6602006 counting only the distinct ones).

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

Adding to 1310200023120 its reverse (213200020131), we get a palindrome (1523400043251).

The spelling of 1310200023120 in words is "one trillion, three hundred ten billion, two hundred million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 827 1654 2481 3308 4135 4962 6616 8270 9924 12405 13232 16540 19848 24810 33080 39696 49620 66160 99240 198480 6601169 13202338 19803507 26404676 33005845 39607014 52809352 66011690 79214028 99017535 105618704 132023380 158428056 198035070 264046760 316856112 396070140 528093520 792140280 1584280560 5459166763 10918333526 16377500289 21836667052 27295833815 32755000578 43673334104 54591667630 65510001156 81887501445 87346668208 109183335260 131020002312 163775002890 218366670520 262040004624 327550005780 436733341040 655100011560 1310200023120