Search a number
-
+
1213101400 = 23527978933
BaseRepresentation
bin100100001001110…
…0111010101011000
310010112122221021111
41020103213111120
54441023221100
6320212550104
742030122530
oct11023472530
93115587244
101213101400
11572845045
1229a322334
131644308a4
14b71804c0
15717776ba
hex484e7558

1213101400 has 96 divisors (see below), whose sum is σ = 3256979040. Its totient is φ = 411586560.

The previous prime is 1213101377. The next prime is 1213101427. The reversal of 1213101400 is 41013121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131334 + ... + 140266.

It is an arithmetic number, because the mean of its divisors is an integer number (33926865).

Almost surely, 21213101400 is an apocalyptic number.

1213101400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628489520).

1213101400 is an abundant number, since it is smaller than the sum of its proper divisors (2043877640).

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

1213101400 is a wasteful number, since it uses less digits than its factorization.

1213101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9053 (or 9044 counting only the distinct ones).

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

The square root of 1213101400 is about 34829.6052231431. The cubic root of 1213101400 is about 1066.5118894347.

Adding to 1213101400 its reverse (41013121), we get a palindrome (1254114521).

The spelling of 1213101400 in words is "one billion, two hundred thirteen million, one hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 140 175 194 200 280 350 388 485 679 700 776 970 1358 1400 1940 2425 2716 3395 3880 4850 5432 6790 8933 9700 13580 16975 17866 19400 27160 33950 35732 44665 62531 67900 71464 89330 125062 135800 178660 223325 250124 312655 357320 446650 500248 625310 866501 893300 1250620 1563275 1733002 1786600 2501240 3126550 3466004 4332505 6065507 6253100 6932008 8665010 12131014 12506200 17330020 21662525 24262028 30327535 34660040 43325050 48524056 60655070 86650100 121310140 151637675 173300200 242620280 303275350 606550700 1213101400