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10221122121002 = 21317109212153309
BaseRepresentation
bin1001010010111100101001…
…0110100110110100101010
31100012010111120111212012122
42110233022112212310222
52314430324230333002
633423304011311242
72103310635353102
oct224571226466452
940163446455178
1010221122121002
113290831a78371
121190b0914b522
13591b03479940
142749c2552202
1512ad1c8d86a2
hex94bca5a6d2a

10221122121002 has 32 divisors (see below), whose sum is σ = 17642669259600. Its totient is φ = 4399210994688.

The previous prime is 10221122120987. The next prime is 10221122121029. The reversal of 10221122121002 is 20012122112201.

10221122121002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7938638718481 + 2282483402521 = 2817559^2 + 1510789^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106028477 + ... + 106124832.

Almost surely, 210221122121002 is an apocalyptic number.

10221122121002 is a deficient number, since it is larger than the sum of its proper divisors (7421547138598).

10221122121002 is a wasteful number, since it uses less digits than its factorization.

10221122121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212153450.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10221122121002 its reverse (20012122112201), we get a palindrome (30233244233203).

The spelling of 10221122121002 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, two".

Divisors: 1 2 13 17 26 34 109 218 221 442 1417 1853 2834 3706 24089 48178 212153309 424306618 2757993017 3606606253 5515986034 7213212506 23124710681 46249421362 46885881289 93771762578 300621238853 393120081577 601242477706 786240163154 5110561060501 10221122121002