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132212000200 = 23527682313841
BaseRepresentation
bin111101100100001110…
…0110000010111001000
3110122021002012111110011
41323020130300113020
54131232233001300
6140423134001304
712360223313350
oct1731034602710
9418232174404
10132212000200
1151086255675
1221759646234
13c6102482a7
14658318bb60
15368c150eba
hex1ec87305c8

132212000200 has 96 divisors (see below), whose sum is σ = 351383045760. Its totient is φ = 45319910400.

The previous prime is 132212000149. The next prime is 132212000201. The reversal of 132212000200 is 2000212231.

It is not an unprimeable number, because it can be changed into a prime (132212000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9545280 + ... + 9559120.

It is an arithmetic number, because the mean of its divisors is an integer number (3660240060).

Almost surely, 2132212000200 is an apocalyptic number.

132212000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132212000200 is an abundant number, since it is smaller than the sum of its proper divisors (219171045560).

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

132212000200 is a wasteful number, since it uses less digits than its factorization.

132212000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20687 (or 20678 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 132212000200 its reverse (2000212231), we get a palindrome (134212212431).

The spelling of 132212000200 in words is "one hundred thirty-two billion, two hundred twelve million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 6823 13646 13841 27292 27682 34115 47761 54584 55364 68230 69205 95522 96887 110728 136460 138410 170575 191044 193774 238805 272920 276820 341150 346025 382088 387548 477610 484435 553640 682300 692050 775096 955220 968870 1194025 1364600 1384100 1910440 1937740 2388050 2422175 2768200 3875480 4776100 4844350 9552200 9688700 19377400 94437143 188874286 377748572 472185715 661060001 755497144 944371430 1322120002 1888742860 2360928575 2644240004 3305300005 3777485720 4721857150 5288480008 6610600010 9443714300 13221200020 16526500025 18887428600 26442400040 33053000050 66106000100 132212000200