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1213331220 = 2232540916481
BaseRepresentation
bin100100001010001…
…1111011100010100
310010120002121112100
41020110133130110
54441103044340
6320221522100
742032100543
oct11024373424
93116077470
101213331220
11572991782
1229a413330
131644b138a
14b720015a
15717c0830
hex4851f714

1213331220 has 72 divisors (see below), whose sum is σ = 3689660520. Its totient is φ = 322744320.

The previous prime is 1213331159. The next prime is 1213331237. The reversal of 1213331220 is 221333121.

It can be written as a sum of positive squares in 4 ways, for example, as 294877584 + 918453636 = 17172^2 + 30306^2 .

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 = 1213331193 and 1213331202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65380 + ... + 81860.

It is an arithmetic number, because the mean of its divisors is an integer number (51245285).

Almost surely, 21213331220 is an apocalyptic number.

1213331220 is a gapful number since it is divisible by the number (10) 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 1213331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844830260).

1213331220 is an abundant number, since it is smaller than the sum of its proper divisors (2476329300).

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

1213331220 is a wasteful number, since it uses less digits than its factorization.

1213331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16905 (or 16900 counting only the distinct ones).

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

The square root of 1213331220 is about 34832.9042716797. The cubic root of 1213331220 is about 1066.5792348041.

Adding to 1213331220 its reverse (221333121), we get a palindrome (1434664341).

The spelling of 1213331220 in words is "one billion, two hundred thirteen million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 409 818 1227 1636 2045 2454 3681 4090 4908 6135 7362 8180 12270 14724 16481 18405 24540 32962 36810 49443 65924 73620 82405 98886 148329 164810 197772 247215 296658 329620 494430 593316 741645 988860 1483290 2966580 6740729 13481458 20222187 26962916 33703645 40444374 60666561 67407290 80888748 101110935 121333122 134814580 202221870 242666244 303332805 404443740 606665610 1213331220