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2212203033001 = 13192736619769
BaseRepresentation
bin100000001100010001100…
…100110111000110101001
321211111002020021211201201
4200030101210313012221
5242221042434024001
64412134432244201
7315553311344533
oct40142144670651
97744066254651
102212203033001
1178320aa38325
122b88a63a0661
131307c0ac4a20
14790dd520853
153c82792a501
hex203119371a9

2212203033001 has 48 divisors (see below), whose sum is σ = 2552920461840. Its totient is φ = 1904975677440.

The previous prime is 2212203032981. The next prime is 2212203033067. The reversal of 2212203033001 is 1003303022122.

It can be written as a sum of positive squares in 8 ways, for example, as 15653763225 + 2196549269776 = 125115^2 + 1482076^2 .

It is not a de Polignac number, because 2212203033001 - 221 = 2212200935849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2212203033001.

It is not an unprimeable number, because it can be changed into a prime (2212203033101) 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 47 ways as a sum of consecutive naturals, for example, 226446445 + ... + 226456213.

It is an arithmetic number, because the mean of its divisors is an integer number (53185842955).

Almost surely, 22212203033001 is an apocalyptic number.

It is an amenable number.

2212203033001 is a deficient number, since it is larger than the sum of its proper divisors (340717428839).

2212203033001 is a wasteful number, since it uses less digits than its factorization.

2212203033001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10554 (or 10535 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2212203033001 its reverse (1003303022122), we get a palindrome (3215506055123).

The spelling of 2212203033001 in words is "two trillion, two hundred twelve billion, two hundred three million, thirty-three thousand, one".

Divisors: 1 13 19 73 247 361 661 949 1387 4693 8593 9769 12559 18031 26353 48253 126997 163267 185611 238621 342589 627289 713137 916807 2412943 3102073 3526609 6457309 9270781 11918491 13549603 17419333 45845917 83945017 122688871 176144839 226451329 257442457 471383557 1594955323 2331088549 3346751941 6127986241 8956287583 30304151137 116431738579 170169464077 2212203033001