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332420001012 = 2232117337930341
BaseRepresentation
bin1001101011001011100…
…01101010110011110100
31011210000220212201102100
410311211301222303310
520421244010013022
6412413414142100
733005451246621
oct4654561526364
91153026781370
10332420001012
11118a84473970
1254512951930
1325468693368
1412136b35348
1589a89b01ac
hex4d65c6acf4

332420001012 has 144 divisors (see below), whose sum is σ = 931713007680. Its totient is φ = 99088012800.

The previous prime is 332420000963. The next prime is 332420001059. The reversal of 332420001012 is 210100024233.

332420001012 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3324200010122 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10940962 + ... + 10971302.

It is an arithmetic number, because the mean of its divisors is an integer number (6470229220).

Almost surely, 2332420001012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332420001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465856503840).

332420001012 is an abundant number, since it is smaller than the sum of its proper divisors (599293006668).

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

332420001012 is a wasteful number, since it uses less digits than its factorization.

332420001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30814 (or 30809 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 332420001012 its reverse (210100024233), we get a palindrome (542520025245).

The spelling of 332420001012 in words is "three hundred thirty-two billion, four hundred twenty million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 379 396 438 657 758 803 876 1137 1314 1516 1606 2274 2409 2628 3212 3411 4169 4548 4818 6822 7227 8338 9636 12507 13644 14454 16676 25014 27667 28908 30341 37521 50028 55334 60682 75042 83001 91023 110668 121364 150084 166002 182046 249003 273069 304337 332004 333751 364092 498006 546138 608674 667502 913011 996012 1001253 1092276 1217348 1335004 1826022 2002506 2214893 2739033 3003759 3652044 4005012 4429786 5478066 6007518 6644679 8859572 10956132 11499239 12015036 13289358 19934037 22998478 24363823 26578716 34497717 39868074 45996956 48727646 68995434 73091469 79736148 97455292 103493151 126491629 137990868 146182938 206986302 219274407 252983258 292365876 379474887 413972604 438548814 505966516 758949774 839444447 877097628 1138424661 1517899548 1678888894 2276849322 2518333341 3357777788 4553698644 5036666682 7555000023 9233888917 10073333364 15110000046 18467777834 27701666751 30220000092 36935555668 55403333502 83105000253 110806667004 166210000506 332420001012