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1321113400 = 235225126317
BaseRepresentation
bin100111010111110…
…1001011100111000
310102001220111212221
41032233221130320
510201201112100
6335032013424
744511164365
oct11657513470
93361814787
101321113400
11618809062
1230a531274
1318091b109
14c765946c
157aeb101a
hex4ebe9738

1321113400 has 48 divisors (see below), whose sum is σ = 3083943240. Its totient is φ = 526320000.

The previous prime is 1321113373. The next prime is 1321113421. The reversal of 1321113400 is 43111231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37042 + ... + 63358.

Almost surely, 21321113400 is an apocalyptic number.

1321113400 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 1321113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541971620).

1321113400 is an abundant number, since it is smaller than the sum of its proper divisors (1762829840).

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

1321113400 is a wasteful number, since it uses less digits than its factorization.

1321113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26584 (or 26575 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1321113400 is about 36347.1236826245. The cubic root of 1321113400 is about 1097.2696472252.

Adding to 1321113400 its reverse (43111231), we get a palindrome (1364224631).

The spelling of 1321113400 in words is "one billion, three hundred twenty-one million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 251 502 1004 1255 2008 2510 5020 6275 10040 12550 25100 26317 50200 52634 105268 131585 210536 263170 526340 657925 1052680 1315850 2631700 5263400 6605567 13211134 26422268 33027835 52844536 66055670 132111340 165139175 264222680 330278350 660556700 1321113400