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1220311312 = 241127725031
BaseRepresentation
bin100100010111100…
…0111100100010000
310011001020020102021
41020233013210100
54444344430222
6321031301224
742145321633
oct11057074420
93131206367
101220311312
11576919a50
122a081a814
13165a864cc
14b80d9c1a
15721edac7
hex48bc7910

1220311312 has 40 divisors (see below), whose sum is σ = 2588709312. Its totient is φ = 552662400.

The previous prime is 1220311291. The next prime is 1220311327. The reversal of 1220311312 is 2131130221.

It is a super-2 number, since 2×12203113122 = 2978319396390322688, which contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 36237 + ... + 61267.

Almost surely, 21220311312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294354656).

1220311312 is an abundant number, since it is smaller than the sum of its proper divisors (1368398000).

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

1220311312 is a wasteful number, since it uses less digits than its factorization.

1220311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25327 (or 25321 counting only the distinct ones).

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

The square root of 1220311312 is about 34932.9545272083. The cubic root of 1220311312 is about 1068.6206093394.

Adding to 1220311312 its reverse (2131130221), we get a palindrome (3351441533).

The spelling of 1220311312 in words is "one billion, two hundred twenty million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 277 554 1108 2216 3047 4432 6094 12188 24376 25031 48752 50062 100124 200248 275341 400496 550682 1101364 2202728 4405456 6933587 13867174 27734348 55468696 76269457 110937392 152538914 305077828 610155656 1220311312