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1083055212 = 223453591069
BaseRepresentation
bin100000010001110…
…0001110001101100
32210110221220110000
41000203201301230
54204230231322
6255245344300
735560550241
oct10043416154
92713856400
101083055212
115063a1458
12262868090
131434ca095
14a3bab5c8
156513a3ac
hex408e1c6c

1083055212 has 120 divisors (see below), whose sum is σ = 2936379600. Its totient is φ = 347877504.

The previous prime is 1083055187. The next prime is 1083055213. The reversal of 1083055212 is 2125503801.

It is a happy number.

1083055212 is a `hidden beast` number, since 108 + 3 + 0 + 552 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1083055213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1012614 + ... + 1013682.

It is an arithmetic number, because the mean of its divisors is an integer number (24469830).

Almost surely, 21083055212 is an apocalyptic number.

1083055212 is a gapful number since it is divisible by the number (12) 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 1083055212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468189800).

1083055212 is an abundant number, since it is smaller than the sum of its proper divisors (1853324388).

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

1083055212 is a wasteful number, since it uses less digits than its factorization.

1083055212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1083055212 is about 32909.8041926718. The cubic root of 1083055212 is about 1026.9521273361.

The spelling of 1083055212 in words is "one billion, eighty-three million, fifty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 59 81 106 108 118 159 162 177 212 236 318 324 354 477 531 636 708 954 1062 1069 1431 1593 1908 2124 2138 2862 3127 3186 3207 4276 4293 4779 5724 6254 6372 6414 8586 9381 9558 9621 12508 12828 17172 18762 19116 19242 28143 28863 37524 38484 56286 56657 57726 63071 84429 86589 112572 113314 115452 126142 168858 169971 173178 189213 226628 252284 253287 337716 339942 346356 378426 506574 509913 567639 679884 756852 1013148 1019826 1135278 1529739 1702917 2039652 2270556 3059478 3342763 3405834 4589217 5108751 6118956 6685526 6811668 9178434 10028289 10217502 13371052 18356868 20056578 20435004 30084867 40113156 60169734 90254601 120339468 180509202 270763803 361018404 541527606 1083055212