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2122010000010 = 232599377237257
BaseRepresentation
bin11110111000010001101…
…001101111101010001010
321111212021112012001010100
4132320101221233222022
5234231334030000020
64302500554430230
7306211246251555
oct36702151575212
97455245161110
102122010000010
11748a3736273a
122a3314a32376
13125148cb7654
14749c4b3569c
153a2e966da90
hex1ee11a6fa8a

2122010000010 has 48 divisors (see below), whose sum is σ = 5517304772616. Its totient is φ = 565861254144.

The previous prime is 2122009999997. The next prime is 2122010000081. The reversal of 2122010000010 is 100000102212.

It can be written as a sum of positive squares in 4 ways, for example, as 1050356467161 + 1071653532849 = 1024869^2 + 1035207^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2122009999947 and 2122010000001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8825302 + ... + 9062558.

Almost surely, 22122010000010 is an apocalyptic number.

2122010000010 is an abundant number, since it is smaller than the sum of its proper divisors (3395294772606).

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

2122010000010 is a wasteful number, since it uses less digits than its factorization.

2122010000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336647 (or 336644 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2122010000010 its reverse (100000102212), we get a palindrome (2222010102222).

The spelling of 2122010000010 in words is "two trillion, one hundred twenty-two billion, ten million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 99377 198754 237257 298131 474514 496885 596262 711771 894393 993770 1186285 1423542 1490655 1788786 2135313 2372570 2981310 3558855 4270626 4471965 7117710 8943930 10676565 21353130 23577888889 47155777778 70733666667 117889444445 141467333334 212201000001 235778888890 353668333335 424402000002 707336666670 1061005000005 2122010000010