[go: up one dir, main page]

Search a number
-
+
1213321120 = 255111574391
BaseRepresentation
bin100100001010001…
…1100111110100000
310010120002002200021
41020110130332200
54441102233440
6320221403224
742032026234
oct11024347640
93116062607
101213321120
11572985130
1229a409514
131644a98bb
14b71da5c4
15717bc84a
hex4851cfa0

1213321120 has 96 divisors (see below), whose sum is σ = 3147693696. Its totient is φ = 438297600.

The previous prime is 1213321079. The next prime is 1213321147. The reversal of 1213321120 is 211233121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1213321094 and 1213321103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274125 + ... + 278515.

It is an arithmetic number, because the mean of its divisors is an integer number (32788476).

Almost surely, 21213321120 is an apocalyptic number.

1213321120 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 1213321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573846848).

1213321120 is an abundant number, since it is smaller than the sum of its proper divisors (1934372576).

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

1213321120 is a wasteful number, since it uses less digits than its factorization.

1213321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4566 counting only the distinct ones).

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

The square root of 1213321120 is about 34832.7592935156. The cubic root of 1213321120 is about 1066.5762753264.

Adding to 1213321120 its reverse (211233121), we get a palindrome (1424554241).

The spelling of 1213321120 in words is "one billion, two hundred thirteen million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 157 160 176 220 314 352 440 628 785 880 1256 1570 1727 1760 2512 3140 3454 4391 5024 6280 6908 8635 8782 12560 13816 17270 17564 21955 25120 27632 34540 35128 43910 48301 55264 69080 70256 87820 96602 138160 140512 175640 193204 241505 276320 351280 386408 483010 689387 702560 772816 966020 1378774 1545632 1932040 2757548 3446935 3864080 5515096 6893870 7583257 7728160 11030192 13787740 15166514 22060384 27575480 30333028 37916285 55150960 60666056 75832570 110301920 121332112 151665140 242664224 303330280 606660560 1213321120