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1211211320 = 2351113192087
BaseRepresentation
bin100100000110001…
…1001111000111000
310010102002220120112
41020030121320320
54440032230240
6320104243452
742005061224
oct11014317070
93112086515
101211211320
11571773aa0
12299770588
13163c1b4b7
14b6c0b784
1571502665
hex48319e38

1211211320 has 64 divisors (see below), whose sum is σ = 2976652800. Its totient is φ = 439895680.

The previous prime is 1211211307. The next prime is 1211211329. The reversal of 1211211320 is 231121121.

It is a super-2 number, since 2×12112113202 = 2934065723392284800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1211211295 and 1211211304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211211329) by changing a digit.

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, 579317 + ... + 581403.

It is an arithmetic number, because the mean of its divisors is an integer number (46510200).

Almost surely, 21211211320 is an apocalyptic number.

1211211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211211320 is an abundant number, since it is smaller than the sum of its proper divisors (1765441480).

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

1211211320 is a wasteful number, since it uses less digits than its factorization.

1211211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1211211320 is about 34802.4614072051. The cubic root of 1211211320 is about 1065.9577064112.

Adding to 1211211320 its reverse (231121121), we get a palindrome (1442332441).

It can be divided in two parts, 12112 and 11320, that added together give a palindrome (23432).

The spelling of 1211211320 in words is "one billion, two hundred eleven million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1319 2087 2638 4174 5276 6595 8348 10435 10552 13190 14509 16696 20870 22957 26380 29018 41740 45914 52760 58036 72545 83480 91828 114785 116072 145090 183656 229570 290180 459140 580360 918280 2752753 5505506 11011012 13763765 22022024 27527530 30280283 55055060 60560566 110110120 121121132 151401415 242242264 302802830 605605660 1211211320