Search a number
-
+
1313222300 = 2252134721493
BaseRepresentation
bin100111001000110…
…0010111010011100
310101112001121022222
41032101202322130
510142141103200
6334150524512
744354130305
oct11621427234
93345047288
101313222300
11614309395
12307966738
1317c0b7420
14c65a37ac
157a452d85
hex4e462e9c

1313222300 has 72 divisors (see below), whose sum is σ = 3134341056. Its totient is φ = 474543360.

The previous prime is 1313222263. The next prime is 1313222321. The reversal of 1313222300 is 32223131.

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, 50354 + ... + 71846.

Almost surely, 21313222300 is an apocalyptic number.

1313222300 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 1313222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567170528).

1313222300 is an abundant number, since it is smaller than the sum of its proper divisors (1821118756).

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

1313222300 is a wasteful number, since it uses less digits than its factorization.

1313222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21567 (or 21560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1313222300 is about 36238.4091814197. The cubic root of 1313222300 is about 1095.0805942778.

Adding to 1313222300 its reverse (32223131), we get a palindrome (1345445431).

The spelling of 1313222300 in words is "one billion, three hundred thirteen million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 130 188 235 260 325 470 611 650 940 1175 1222 1300 2350 2444 3055 4700 6110 12220 15275 21493 30550 42986 61100 85972 107465 214930 279409 429860 537325 558818 1010171 1074650 1117636 1397045 2020342 2149300 2794090 4040684 5050855 5588180 6985225 10101710 13132223 13970450 20203420 25254275 26264446 27940900 50508550 52528892 65661115 101017100 131322230 262644460 328305575 656611150 1313222300