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1012132220 = 225118275563
BaseRepresentation
bin111100010100111…
…110100101111100
32121112111122101112
4330110332211330
54033101212340
6244233301152
734036660541
oct7424764574
92545448345
101012132220
1147a35aa10
12242b647b8
131318c7408
14985c8bc8
155dccb065
hex3c53e97c

1012132220 has 48 divisors (see below), whose sum is σ = 2321923968. Its totient is φ = 367536960.

The previous prime is 1012132207. The next prime is 1012132229. The reversal of 1012132220 is 222312101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1012132195 and 1012132204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012132229) 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, 179159 + ... + 184721.

It is an arithmetic number, because the mean of its divisors is an integer number (48373416).

Almost surely, 21012132220 is an apocalyptic number.

1012132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012132220 is an abundant number, since it is smaller than the sum of its proper divisors (1309791748).

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

1012132220 is a wasteful number, since it uses less digits than its factorization.

1012132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1012132220 is about 31814.0255233443. The cubic root of 1012132220 is about 1004.0278281520.

Adding to 1012132220 its reverse (222312101), we get a palindrome (1234444321).

The spelling of 1012132220 in words is "one billion, twelve million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 827 1654 3308 4135 5563 8270 9097 11126 16540 18194 22252 27815 36388 45485 55630 61193 90970 111260 122386 181940 244772 305965 611930 1223860 4600601 9201202 18402404 23003005 46006010 50606611 92012020 101213222 202426444 253033055 506066110 1012132220