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1331212020 = 223547547863
BaseRepresentation
bin100111101011000…
…1010111011110100
310102202220120120220
41033112022323310
510211242241040
6340032254340
744663054415
oct11726127364
93382816526
101331212020
11623486326
123119a13b0
13182a45828
14c8b2780c
157bd082d0
hex4f58aef4

1331212020 has 96 divisors (see below), whose sum is σ = 3818078208. Its totient is φ = 346399872.

The previous prime is 1331212007. The next prime is 1331212021. The reversal of 1331212020 is 202121331.

It is a super-3 number, since 3×13312120203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331212021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1542109 + ... + 1542971.

It is an arithmetic number, because the mean of its divisors is an integer number (39771648).

Almost surely, 21331212020 is an apocalyptic number.

1331212020 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 1331212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909039104).

1331212020 is an abundant number, since it is smaller than the sum of its proper divisors (2486866188).

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

1331212020 is a wasteful number, since it uses less digits than its factorization.

1331212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1331212020 is about 36485.7783252598. The cubic root of 1331212020 is about 1100.0584046124.

Adding to 1331212020 its reverse (202121331), we get a palindrome (1533333351).

The spelling of 1331212020 in words is "one billion, three hundred thirty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 547 564 705 863 940 1094 1410 1641 1726 2188 2589 2735 2820 3282 3452 4315 5178 5470 6564 8205 8630 10356 10940 12945 16410 17260 25709 25890 32820 40561 51418 51780 77127 81122 102836 121683 128545 154254 162244 202805 243366 257090 308508 385635 405610 472061 486732 514180 608415 771270 811220 944122 1216830 1416183 1542540 1888244 2360305 2433660 2832366 4720610 5664732 7080915 9441220 14161830 22186867 28323660 44373734 66560601 88747468 110934335 133121202 221868670 266242404 332803005 443737340 665606010 1331212020