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2212012321002 = 2321124012532709
BaseRepresentation
bin100000001100000110001…
…101010110100011101010
321211110120221102200001100
4200030012031112203222
5242220200123233002
64412103500502230
7315545504333061
oct40140615264352
97743527380040
102212012321002
11783122319600
122b885254a976
131307904401a3
14790c20791d8
153c815d0811c
hex203063568ea

2212012321002 has 72 divisors (see below), whose sum is σ = 5281141041540. Its totient is φ = 668634912000.

The previous prime is 2212012320979. The next prime is 2212012321049. The reversal of 2212012321002 is 2001232102122.

2212012321002 is a `hidden beast` number, since 221 + 201 + 232 + 10 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1812526382601 + 399485938401 = 1346301^2 + 632049^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 392977 + ... + 2139732.

Almost surely, 22212012321002 is an apocalyptic number.

2212012321002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2212012321002 is an abundant number, since it is smaller than the sum of its proper divisors (3069128720538).

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

2212012321002 is a wasteful number, since it uses less digits than its factorization.

2212012321002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533140 (or 2533126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2212012321002 its reverse (2001232102122), we get a palindrome (4213244423124).

The spelling of 2212012321002 in words is "two trillion, two hundred twelve billion, twelve million, three hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 401 726 802 1089 1203 2178 2406 3609 4411 7218 8822 13233 26466 39699 48521 79398 97042 145563 291126 436689 873378 2532709 5065418 7598127 15196254 22794381 27859799 45588762 55719598 83579397 167158794 250738191 306457789 501476382 612915578 919373367 1015616309 1838746734 2031232618 2758120101 3046848927 5516240202 6093697854 9140546781 11171779399 18281093562 22343558798 33515338197 67030676394 100546014591 122889573389 201092029182 245779146778 368668720167 737337440334 1106006160501 2212012321002