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1220132312 = 23729769977
BaseRepresentation
bin100100010111001…
…1011110111011000
310011000220010212122
41020232123313120
54444323213222
6321023400412
742143645030
oct11056336730
93130803778
101220132312
11576807513
122a0753108
13165a22ba9
14b80908c0
15721b5a42
hex48b9bdd8

1220132312 has 64 divisors (see below), whose sum is σ = 2711016000. Its totient is φ = 503709696.

The previous prime is 1220132299. The next prime is 1220132339. The reversal of 1220132312 is 2132310221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248368 + ... + 1249344.

It is an arithmetic number, because the mean of its divisors is an integer number (42359625).

Almost surely, 21220132312 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 1220132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355508000).

1220132312 is an abundant number, since it is smaller than the sum of its proper divisors (1490883688).

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

1220132312 is a wasteful number, since it uses less digits than its factorization.

1220132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1784 counting only the distinct ones).

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

The square root of 1220132312 is about 34930.3923825656. The cubic root of 1220132312 is about 1068.5683569781.

Adding to 1220132312 its reverse (2132310221), we get a palindrome (3352442533).

The spelling of 1220132312 in words is "one billion, two hundred twenty million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 769 812 977 1538 1624 1954 3076 3908 5383 6152 6839 7816 10766 13678 21532 22301 27356 28333 43064 44602 54712 56666 89204 113332 156107 178408 198331 226664 312214 396662 624428 751313 793324 1248856 1502626 1586648 3005252 5259191 6010504 10518382 21036764 21788077 42073528 43576154 87152308 152516539 174304616 305033078 610066156 1220132312