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1213312032 = 2532171913043
BaseRepresentation
bin100100001010001…
…1010110000100000
310010120001122012200
41020110122300200
54441101441112
6320221253200
742031660602
oct11024326040
93116048180
101213312032
11572979319
1229a404200
131644a571a
14b71d7172
15717b9cdc
hex4851ac20

1213312032 has 144 divisors (see below), whose sum is σ = 3845892960. Its totient is φ = 360585216.

The previous prime is 1213312019. The next prime is 1213312033. The reversal of 1213312032 is 2302133121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1213311996 and 1213312014.

It is not an unprimeable number, because it can be changed into a prime (1213312033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86503 + ... + 99545.

It is an arithmetic number, because the mean of its divisors is an integer number (26707590).

Almost surely, 21213312032 is an apocalyptic number.

1213312032 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 1213312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922946480).

1213312032 is an abundant number, since it is smaller than the sum of its proper divisors (2632580928).

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

1213312032 is a wasteful number, since it uses less digits than its factorization.

1213312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13095 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1213312032 is about 34832.6288413608. The cubic root of 1213312032 is about 1066.5736123684.

Adding to 1213312032 its reverse (2302133121), we get a palindrome (3515445153).

The spelling of 1213312032 in words is "one billion, two hundred thirteen million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 68 72 76 96 102 114 136 144 152 153 171 204 228 272 288 304 306 323 342 408 456 544 608 612 646 684 816 912 969 1224 1292 1368 1632 1824 1938 2448 2584 2736 2907 3876 4896 5168 5472 5814 7752 10336 11628 13043 15504 23256 26086 31008 39129 46512 52172 78258 93024 104344 117387 156516 208688 221731 234774 247817 313032 417376 443462 469548 495634 626064 665193 743451 886924 939096 991268 1252128 1330386 1486902 1773848 1878192 1982536 1995579 2230353 2660772 2973804 3547696 3756384 3965072 3991158 4212889 4460706 5321544 5947608 7095392 7930144 7982316 8425778 8921412 10643088 11895216 12638667 15964632 16851556 17842824 21286176 23790432 25277334 31929264 33703112 35685648 37916001 50554668 63858528 67406224 71371296 75832002 101109336 134812448 151664004 202218672 303328008 404437344 606656016 1213312032