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211033220332132 = 221121967342513001
BaseRepresentation
bin101111111110111100000000…
…001000100011101001100100
31000200012120121222012110110101
4233332330000020203221210
5210130032013401112012
62024455153440033444
762310434633621332
oct5776740010435144
91020176558173411
10211033220332132
1161272760286500
121b80379a602884
13909a468cb51a3
143a180c31a2b52
15195e6d1e39d57
hexbfef00223a64

211033220332132 has 72 divisors (see below), whose sum is σ = 433676262612320. Its totient is φ = 89519197680000.

The previous prime is 211033220332091. The next prime is 211033220332153. The reversal of 211033220332132 is 231233022330112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 211033220332132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170640369 + ... + 171872632.

Almost surely, 2211033220332132 is an apocalyptic number.

211033220332132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211033220332132 is an abundant number, since it is smaller than the sum of its proper divisors (222643042280188).

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

211033220332132 is a wasteful number, since it uses less digits than its factorization.

211033220332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342513113 (or 342513100 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 211033220332132 its reverse (231233022330112), we get a palindrome (442266242662244).

The spelling of 211033220332132 in words is "two hundred eleven trillion, thirty-three billion, two hundred twenty million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 19 22 38 44 67 76 121 134 209 242 268 418 484 737 836 1273 1474 2299 2546 2948 4598 5092 8107 9196 14003 16214 28006 32428 56012 154033 308066 616132 342513001 685026002 1370052004 3767643011 6507747019 7535286022 13015494038 15070572044 22948371067 26030988076 41444073121 45896742134 71585217209 82888146242 91793484268 143170434418 165776292484 252432081737 286340868836 436019050273 504864163474 787437389299 872038100546 1009728326948 1574874778598 1744076201092 2776752899107 3149749557196 4796209553003 5553505798214 9592419106006 11107011596428 19184838212012 52758305083033 105516610166066 211033220332132