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332201130012 = 223319144336353
BaseRepresentation
bin1001101010110001011…
…10101111100000011100
31011202110200000220212000
410311120232233200130
520420321442130022
6412335555042300
733000153005013
oct4653056574034
91152420026760
10332201130012
11118981971944
12544715a0390
132543222c7ab
1412115a3da7a
1589946796ac
hex4d58baf81c

332201130012 has 96 divisors (see below), whose sum is σ = 867749621760. Its totient is φ = 109902274560.

The previous prime is 332201129971. The next prime is 332201130073. The reversal of 332201130012 is 210031102233.

332201130012 is a `hidden beast` number, since 332 + 20 + 1 + 1 + 300 + 12 = 666.

332201130012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3322011300122 (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 31 ways as a sum of consecutive naturals, for example, 9120028 + ... + 9156380.

It is an arithmetic number, because the mean of its divisors is an integer number (9039058560).

Almost surely, 2332201130012 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 332201130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433874810880).

332201130012 is an abundant number, since it is smaller than the sum of its proper divisors (535548491748).

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

332201130012 is a wasteful number, since it uses less digits than its factorization.

332201130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37000 (or 36992 counting only the distinct ones).

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

Adding to 332201130012 its reverse (210031102233), we get a palindrome (542232232245).

The spelling of 332201130012 in words is "three hundred thirty-two billion, two hundred one million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 443 573 764 886 1146 1329 1719 1772 2292 2658 3438 3987 5157 5316 6876 7974 10314 11961 15948 20628 23922 36353 47844 72706 84613 109059 145412 169226 218118 253839 327177 338452 436236 507678 654354 761517 981531 1015356 1308708 1523034 1963062 2284551 3046068 3926124 4569102 6943423 9138204 13886846 16104379 20830269 27773692 32208758 41660538 48313137 62490807 64417516 83321076 96626274 124981614 144939411 187472421 193252548 249963228 289878822 374944842 434818233 579757644 749889684 869636466 1739272932 3075936389 6151872778 9227809167 12303745556 18455618334 27683427501 36911236668 55366855002 83050282503 110733710004 166100565006 332201130012