Search a number
-
+
1311000214000 = 24531105959273
BaseRepresentation
bin10011000100111101101…
…100111011100111110000
311122022220212012020000111
4103010331230323213300
5132434412023322000
62442133140231104
7163500543645211
oct23047554734760
94568825166014
101311000214000
11465aa0496844
121920b739b494
139681c0982c9
144764a4b3408
152417ea07cba
hex1313db3b9f0

1311000214000 has 80 divisors (see below), whose sum is σ = 3170338647840. Its totient is φ = 524343820800.

The previous prime is 1311000213947. The next prime is 1311000214019. The reversal of 1311000214000 is 4120001131.

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

It is a super-2 number, since 2×13110002140002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22088364 + ... + 22147636.

It is an arithmetic number, because the mean of its divisors is an integer number (39629233098).

Almost surely, 21311000214000 is an apocalyptic number.

1311000214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311000214000 is an abundant number, since it is smaller than the sum of its proper divisors (1859338433840).

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

1311000214000 is a wasteful number, since it uses less digits than its factorization.

1311000214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70355 (or 70339 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1311000214000 its reverse (4120001131), we get a palindrome (1315120215131).

The spelling of 1311000214000 in words is "one trillion, three hundred eleven billion, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 11059 22118 44236 55295 59273 88472 110590 118546 176944 221180 237092 276475 296365 442360 474184 552950 592730 884720 948368 1105900 1185460 1382375 1481825 2211800 2370920 2764750 2963650 4423600 4741840 5529500 5927300 7409125 11059000 11854600 14818250 22118000 23709200 29636500 59273000 118546000 655500107 1311000214 2622000428 3277500535 5244000856 6555001070 10488001712 13110002140 16387502675 26220004280 32775005350 52440008560 65550010700 81937513375 131100021400 163875026750 262200042800 327750053500 655500107000 1311000214000