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433001010000132 = 223275350613211331
BaseRepresentation
bin110001001110011111110011…
…1011000110111000100000100
32002210010111021212201110210100
41202130333213120313010010
5423223242032030001012
64132525530133324100
7160130201452416510
oct14234774730670404
92083114255643710
10433001010000132
11115a70773917482
12406925b6196630
131577ba878189c2
1478cd509abd140
15350d53b1558dc
hex189cfe7637104

433001010000132 has 72 divisors (see below), whose sum is σ = 1250894534041152. Its totient is φ = 123714304545600.

The previous prime is 433001010000103. The next prime is 433001010000263. The reversal of 433001010000132 is 231000010100334.

433001010000132 is a `hidden beast` number, since 433 + 0 + 0 + 1 + 0 + 100 + 0 + 0 + 132 = 666.

It is a super-2 number, since 2×4330010100001322 (a number of 30 digits) contains 22 as substring.

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

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, 133229707 + ... + 136441037.

It is an arithmetic number, because the mean of its divisors is an integer number (17373535195016).

Almost surely, 2433001010000132 is an apocalyptic number.

433001010000132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

433001010000132 is an abundant number, since it is smaller than the sum of its proper divisors (817893524041020).

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

433001010000132 is a wasteful number, since it uses less digits than its factorization.

433001010000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746409 (or 3746404 counting only the distinct ones).

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

Adding to 433001010000132 its reverse (231000010100334), we get a palindrome (664001020100466).

The spelling of 433001010000132 in words is "four hundred thirty-three trillion, one billion, ten million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 535061 1070122 1605183 2140244 3210366 3211331 3745427 4815549 6420732 6422662 7490854 9631098 9633993 11236281 12845324 14981708 19262196 19267986 22472562 22479317 28901979 33708843 38535972 44945124 44958634 57803958 67417686 67437951 89917268 115607916 134835372 134875902 202313853 269751804 404627706 809255412 1718257976191 3436515952382 5154773928573 6873031904764 10309547857146 12027805833337 15464321785719 20619095714292 24055611666674 30928643571438 36083417500011 48111223333348 61857287142876 72166835000022 108250252500033 144333670000044 216500505000066 433001010000132