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1213056216 = 2333171917387
BaseRepresentation
bin100100001001101…
…1100010011011000
310010112120122022000
41020103130103120
54441020244331
6320212001000
742026544021
oct11023342330
93115518260
101213056216
115728140a9
1229a300160
13164416158
14b716bc48
15717690e6
hex484dc4d8

1213056216 has 128 divisors (see below), whose sum is σ = 3755808000. Its totient is φ = 360516096.

The previous prime is 1213056193. The next prime is 1213056223. The reversal of 1213056216 is 6126503121.

1213056216 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 5 + 621 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1213056216.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 61075 + ... + 78461.

It is an arithmetic number, because the mean of its divisors is an integer number (29342250).

Almost surely, 21213056216 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 1213056216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877904000).

1213056216 is an abundant number, since it is smaller than the sum of its proper divisors (2542751784).

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

1213056216 is a wasteful number, since it uses less digits than its factorization.

1213056216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17438 (or 17428 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1213056216 is about 34828.9565735180. The cubic root of 1213056216 is about 1066.4986479278.

Adding to 1213056216 its reverse (6126503121), we get a palindrome (7339559337).

The spelling of 1213056216 in words is "one billion, two hundred thirteen million, fifty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 306 323 342 408 456 459 513 612 646 684 918 969 1026 1224 1292 1368 1836 1938 2052 2584 2907 3672 3876 4104 5814 7752 8721 11628 17387 17442 23256 34774 34884 52161 69548 69768 104322 139096 156483 208644 295579 312966 330353 417288 469449 591158 625932 660706 886737 938898 991059 1182316 1251864 1321412 1773474 1877796 1982118 2364632 2642824 2660211 2973177 3546948 3755592 3964236 5320422 5616001 5946354 7093896 7928472 7980633 8919531 10640844 11232002 11892708 15961266 16848003 17839062 21281688 22464004 23785416 31922532 33696006 35678124 44928008 50544009 63845064 67392012 71356248 101088018 134784024 151632027 202176036 303264054 404352072 606528108 1213056216