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1213221320 = 2351717310313
BaseRepresentation
bin100100001010000…
…0100100111001000
310010112220000202222
41020110010213020
54441041040240
6320215313212
742031132253
oct11024044710
93115800688
101213221320
11572917153
1229a37b808
1316447334c
14b71b209a
157179ceb5
hex485049c8

1213221320 has 64 divisors (see below), whose sum is σ = 2907310320. Its totient is φ = 454057984.

The previous prime is 1213221313. The next prime is 1213221323. The reversal of 1213221320 is 231223121.

It can be written as a sum of positive squares in 8 ways, for example, as 920879716 + 292341604 = 30346^2 + 17098^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1213221323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112484 + ... + 122796.

Almost surely, 21213221320 is an apocalyptic number.

1213221320 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 1213221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453655160).

1213221320 is an abundant number, since it is smaller than the sum of its proper divisors (1694089000).

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

1213221320 is a wasteful number, since it uses less digits than its factorization.

1213221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10514 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1213221320 is about 34831.3267045629. The cubic root of 1213221320 is about 1066.5470312873.

Adding to 1213221320 its reverse (231223121), we get a palindrome (1444444441).

The spelling of 1213221320 in words is "one billion, two hundred thirteen million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 173 340 346 680 692 865 1384 1730 2941 3460 5882 6920 10313 11764 14705 20626 23528 29410 41252 51565 58820 82504 103130 117640 175321 206260 350642 412520 701284 876605 1402568 1753210 1784149 3506420 3568298 7012840 7136596 8920745 14273192 17841490 30330533 35682980 60661066 71365960 121322132 151652665 242644264 303305330 606610660 1213221320