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1213371312 = 2431910312917
BaseRepresentation
bin100100001010010…
…1001001110110000
310010120011122112020
41020110221032300
54441110340222
6320222431440
742032325456
oct11024511660
93116148466
101213371312
11572a0990a
1229a432580
131644c66ba
14b72109d6
15717cc65c
hex485293b0

1213371312 has 80 divisors (see below), whose sum is σ = 3331810560. Its totient is φ = 379420416.

The previous prime is 1213371301. The next prime is 1213371337. The reversal of 1213371312 is 2131733121.

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, 87478 + ... + 100394.

It is an arithmetic number, because the mean of its divisors is an integer number (41647632).

Almost surely, 21213371312 is an apocalyptic number.

1213371312 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 1213371312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665905280).

1213371312 is an abundant number, since it is smaller than the sum of its proper divisors (2118439248).

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

1213371312 is a wasteful number, since it uses less digits than its factorization.

1213371312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13050 (or 13044 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 1213371312 is about 34833.4797572680. The cubic root of 1213371312 is about 1066.5909823036.

The spelling of 1213371312 in words is "one billion, two hundred thirteen million, three hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 103 114 152 206 228 304 309 412 456 618 824 912 1236 1648 1957 2472 3914 4944 5871 7828 11742 12917 15656 23484 25834 31312 38751 46968 51668 77502 93936 103336 155004 206672 245423 310008 490846 620016 736269 981692 1330451 1472538 1963384 2660902 2945076 3926768 3991353 5321804 5890152 7982706 10643608 11780304 15965412 21287216 25278569 31930824 50557138 63861648 75835707 101114276 151671414 202228552 303342828 404457104 606685656 1213371312