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1213255152 = 24332325309
BaseRepresentation
bin100100001010000…
…1100110111110000
310010112221202012000
41020110030313300
54441043131102
6320220134000
742031333014
oct11024146760
93115852160
101213255152
1157293a60a
1229a397300
13164485875
14b71c0544
15717a801c
hex4850cdf0

1213255152 has 120 divisors (see below), whose sum is σ = 3641173200. Its totient is φ = 386762112.

The previous prime is 1213255151. The next prime is 1213255159. The reversal of 1213255152 is 2515523121.

1213255152 is a `hidden beast` number, since 12 + 132 + 5 + 515 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213255151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 225874 + ... + 231182.

It is an arithmetic number, because the mean of its divisors is an integer number (30343110).

Almost surely, 21213255152 is an apocalyptic number.

1213255152 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 1213255152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820586600).

1213255152 is an abundant number, since it is smaller than the sum of its proper divisors (2427918048).

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

1213255152 is a wasteful number, since it uses less digits than its factorization.

1213255152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372 (or 5337 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 1213255152 is about 34831.8123559484. The cubic root of 1213255152 is about 1066.5569451376.

Adding to 1213255152 its reverse (2515523121), we get a palindrome (3728778273).

The spelling of 1213255152 in words is "one billion, two hundred thirteen million, two hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 529 552 621 828 1058 1104 1242 1587 1656 2116 2484 3174 3312 4232 4761 4968 5309 6348 8464 9522 9936 10618 12696 14283 15927 19044 21236 25392 28566 31854 38088 42472 47781 57132 63708 76176 84944 95562 114264 122107 127416 143343 191124 228528 244214 254832 286686 366321 382248 488428 573372 732642 764496 976856 1098963 1146744 1465284 1953712 2197926 2293488 2808461 2930568 3296889 4395852 5616922 5861136 6593778 8425383 8791704 11233844 13187556 16850766 17583408 22467688 25276149 26375112 33701532 44935376 50552298 52750224 67403064 75828447 101104596 134806128 151656894 202209192 303313788 404418384 606627576 1213255152