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1213136016 = 243197971669
BaseRepresentation
bin100100001001110…
…1111110010010000
310010112201200202120
41020103233302100
54441030323031
6320213414240
742030325461
oct11023576220
93115650676
101213136016
11572869054
1229a33a380
13164443581
14b718cd68
1571782a96
hex484efc90

1213136016 has 80 divisors (see below), whose sum is σ = 3304996800. Its totient is φ = 382385664.

The previous prime is 1213136009. The next prime is 1213136063. The reversal of 1213136016 is 6106313121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726030 + ... + 727698.

It is an arithmetic number, because the mean of its divisors is an integer number (41312460).

Almost surely, 21213136016 is an apocalyptic number.

1213136016 is a gapful number since it is divisible by the number (16) 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 1213136016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652498400).

1213136016 is an abundant number, since it is smaller than the sum of its proper divisors (2091860784).

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

1213136016 is a wasteful number, since it uses less digits than its factorization.

1213136016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1213136016 is about 34830.1021531663. The cubic root of 1213136016 is about 1066.5220336882.

Adding to 1213136016 its reverse (6106313121), we get a palindrome (7319449137).

The spelling of 1213136016 in words is "one billion, two hundred thirteen million, one hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 797 912 1594 1669 2391 3188 3338 4782 5007 6376 6676 9564 10014 12752 13352 15143 19128 20028 26704 30286 31711 38256 40056 45429 60572 63422 80112 90858 95133 121144 126844 181716 190266 242288 253688 363432 380532 507376 726864 761064 1330193 1522128 2660386 3990579 5320772 7981158 10641544 15962316 21283088 25273667 31924632 50547334 63849264 75821001 101094668 151642002 202189336 303284004 404378672 606568008 1213136016