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332012202123225 = 352131630192088869
BaseRepresentation
bin100101101111101101001110…
…1010111100101111111011001
31121112120001112012221021121010
41023133122131113211333121
5322004141442220420400
63134044144450204133
7126635042610050541
oct11337323527457731
91545501465837533
10332012202123225
1196875647616118
12312a2232883649
131133480208b790
145bdb695066321
15285b5ec9ae450
hex12df69d5e5fd9

332012202123225 has 48 divisors (see below), whose sum is σ = 591155891726400. Its totient is φ = 163451080139520.

The previous prime is 332012202123209. The next prime is 332012202123233. The reversal of 332012202123225 is 522321202210233.

It is a happy number.

It is not a de Polignac number, because 332012202123225 - 24 = 332012202123209 is a prime.

It is a super-2 number, since 2×3320122021232252 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 332012202123192 and 332012202123201.

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, 157899091 + ... + 159987959.

It is an arithmetic number, because the mean of its divisors is an integer number (12315747744300).

Almost surely, 2332012202123225 is an apocalyptic number.

It is an amenable number.

332012202123225 is a deficient number, since it is larger than the sum of its proper divisors (259143689603175).

332012202123225 is a wasteful number, since it uses less digits than its factorization.

332012202123225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251914 (or 2251909 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 332012202123225 its reverse (522321202210233), we get a palindrome (854333404333458).

The spelling of 332012202123225 in words is "three hundred thirty-two trillion, twelve billion, two hundred two million, one hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 325 975 163019 489057 815095 2088869 2119247 2445285 4075475 6266607 6357741 10444345 10596235 12226425 27155297 31333035 31788705 52221725 52981175 81465891 135776485 156665175 158943525 407329455 678882425 2036647275 340525335511 1021576006533 1702626677555 4426829361643 5107880032665 8513133387775 13280488084929 22134146808215 25539400163325 66402440424645 110670734041075 332012202123225